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26 (number)

From Wikipedia, the free encyclopedia

"Number 26" and "XXVI" redirect here. For the bank, seeN26. For the company, seeXXVI Holdings.

Natural number

26

←20 21 22 23 24 25 26 27 28 29 →

←0 10 20 30 40 50 60 70 80 90 →

twenty-six

26th
(twenty-sixth)

2 × 13

1, 2, 13, 26

ΚϚ´

XXVI,xxvi

11010₂

222₃

42₆

32₈

22₁₂

1A₁₆

26 (twenty-six) is thenatural number following25 and preceding27.

In mathematics

Poster designed to depict the speciality of the number 26

26 is the seventh discretesemiprime ( $2\times 13$ )^[1] and the fifth with 2 as the lowest non-unitary factor thus of the form (2.q), where q is a higher prime.
26 is the smallest even numbern such that bothn + 1 andn − 1 arecomposite.
With analiquot sum of16, within analiquot sequence of five composite numbers (26,16,15,9,4,3,1,0) to the Prime in the3-aliquot tree.
26 is the onlyinteger that is one greater than a square (5² + 1) and one less than a cube (3³ − 1).^[2]
26 is atelephone number, specifically, the number of ways of connecting 5 points with pairwise connections.^[3]
There are 26sporadic groups.^[4]
The 26-dimensional Lorentzianunimodular lattice II_25,1 plays a significant role insphere packing problems and theclassification of finite simple groups. In particular, theLeech lattice is obtained in a simple way as a subquotient.
26 is the number of permutations of {a, b, c, d, e} with only oneascent.^[5]^[a]
There are 26 faces of arhombicuboctahedron.^[6]
Thegyroelongated square cupola (J₂₃),elongated square gyrobicupola (J₃₇),gyroelongated triangular bicupola (J₄₄), andsnub square antiprism (J₈₅) each have 26 faces.^[7]
When a 3 × 3 × 3 cube is made of 27 unit cubes (e.g.Rubik's Cube), 26 of them are viewable as the exterior layer.
A cube has 26 elements: 6faces, 12edges, and 8vertices.
A 26-sidedpolygon is called anicosihexagon.^[8]
φ(26) = 12 = φ(σ(26)).^[9]

Properties of its positional representation in certain radixes

Twenty-six is arepdigit inbases three (222₃) andtwelve (22₁₂).

Inbase ten, 26 is the smallest positive integer that is not apalindrome to have asquare (26² =676) that is a palindrome.

In religion

26 is thegematric number, being the sum of the Hebrew characters (Hebrew:יהוה) being the name of the god of Israel –YHWH (Yahweh).
26 is also the gematric number for GOD with the corresponding substitutions in English (i.e. A=1, B=2, C=3, and so on)
In theTenrikyo religion of Japan, 26 is frequently used, since it marks the lunar calendar date of its founderNakayama Miki's first divine revelation and also her death.

In science

Iron is the 26th element in theperiodic table.
Messier 26 is anopen cluster ofstars in the southern constellation of Scutum.
NGC 26 is aspiral galaxy in thePegasus constellation.
The maximum time difference between twotimezones is 26 hours.

In other fields

26 is the number of theletters in theLatin Alphabet.

References

^26 is the sixteenthcomposite, an index value equal to the sum of prime factors of 26 (2, and 13), and1 (i.e., itsaliquot part); this is also the total sum of permutations of only one ascent in all of {a, b}, {a, b, c} and {a, b, c, d}, individually numbering 1, 4, and 11, respectively.^[5]

^Sloane, N. J. A. (ed.)."Sequence A001358".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
^"The number 26, between 25 and 27"(PDF). Retrieved2012-06-05.
^"Sloane's A000085 : Involution numbers".The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2021-12-03.
^Wilson, Robert (2009-12-14).The Finite Simple Groups. Springer Science & Business Media. p. 183.ISBN 978-1-84800-987-5.In this chapter we introduce the 26 sporadic simple groups.
^^a ^bSloane, N. J. A. (ed.)."Sequence A000295 (Eulerian numbers.)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved2024-07-28.
^Saiber, Arielle.Measured Words: Computation and Writing in Renaissance Italy. University of Toronto Press. p. 51.ISBN 978-0-8020-3950-7.large, transparent rhombicuboctahedron (a polyhedron with twenty-six faces,
^Johnson, Norman (1966). "Convex Solids with Regular Faces".Canadian Journal of Mathematics.18:169–200.doi:10.4153/CJM-1966-021-8.
^"polygon".www.2dcurves.com. Retrieved2021-02-02.
^Sloane, N. J. A. (ed.)."Sequence A006872".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.

External links

Prime Curios! 26 from thePrime Pages

v
t
e

\mathbb {Z}

−2,−1

0 to 199

0 to 99	100 to 199
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99	100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199

200 to 399

200 to 299	300 to 399
200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299	300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 318 323 325 341 353 359 360 363 365 369 377 384

400 to 999

400s, 500s, and 600s	700s, 800s, and 900s
400 420 440 495 496 500 501 511 512 555 600 610 613 616 666 693	700 720 743 744 777 786 800 801 836 840 880 881 888 900 911 971 987 999

1000s and 10,000s
1000s	1000 1001 1023 1024 1089 1093 1105 1234 1289 1458 1510 1728 1729 1980 1987 2000 2520 3000 3511 4000 5000 5040 6000 6174 7000 7744 7825 8000 8128 8192 9000 9855 9999
10,000s	10,000 16,807 20,000 30,000 40,000 50,000 60,000 64,079 65,535 65,536 65,537 70,000 80,000 90,000

100,000s to 10,000,000,000,000s
100,000 142,857 144,000 1,000,000 10,000,000 43,112,609 100,000,000 1,000,000,000 2,147,483,647 4,294,967,295 10,000,000,000 100,000,000,000 1,000,000,000,000 10,000,000,000,000

Large numbers

Retrieved from "https://en.wikipedia.org/w/index.php?title=26_(number)&oldid=1334923995"

Integers

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