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801 (number)

From Wikipedia, the free encyclopedia
Natural number
← 800801 802 →
Cardinaleight hundred one
Ordinal801st
(eight hundred first)
Factorization32 × 89
Greek numeralΩΑ´
Roman numeralDCCCI,dccci
Binary11001000012
Ternary10022003
Senary34136
Octal14418
Duodecimal56912
Hexadecimal32116

801 (eight hundred [and] one) is thenatural number following800 and preceding802.

801 is the sum of a square and positive cube in more than one way, and a sum of distinct positive cubes in more than one way:[1][2]

801=172+83=262+53=13+23+43+63+83=23+43+93.{\displaystyle 801=17^{2}+8^{3}=26^{2}+5^{3}=1^{3}+2^{3}+4^{3}+6^{3}+8^{3}=2^{3}+4^{3}+9^{3}.}

In thegematria of 2nd century bishopIrenaeus, 801 stands for both theGreek word for a dove, and forAlpha and Omega, and therefore represents God in two ways.[3]

See also

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References

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  1. ^Sloane, N. J. A. (ed.)."Sequence A055393 (Sum of a square and a nonnegative cube in more than one way)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^Sloane, N. J. A. (ed.)."Sequence A003998 (Numbers that are a sum of distinct positive cubes in more than one way)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^Barry, Kieren (1999),The Greek Qabalah: Alphabetical Mysticism and Numerology in the Ancient World, Weiser Books, pp. 110–111,ISBN 9781609252274.
0 to 199
200 to 399
400 to 999
1000s and 10,000s
1000s
10,000s
100,000s to 10,000,000,000,000s


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