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501 (number)

From Wikipedia, the free encyclopedia
This article is about the number. For other uses, see501 (disambiguation).
Natural number
← 500501 502 →
Cardinalfive hundred one
Ordinal501st
(five hundred first)
Factorization3 × 167
Divisors1, 3, 167, 501
Greek numeralΦΑ´
Roman numeralDI,di
Binary1111101012
Ternary2001203
Senary21536
Octal7658
Duodecimal35912
Hexadecimal1F516

501 (five hundred [and] one) is thenatural number following500 and preceding502.

501 is the sum of the first eighteenprimes.[1]There are 501 degree-8polynomials with integer coefficients, all of whose roots are in the unit disk.[2]There are 501 ways of partitioning the digits from 0 to 9 into two sets, each of which contains at least two digits,[3] and 501 ways of partitioning a set of five elements into any number of ordered sequences.[4]501 is also afigurate number based on the5-orthoplex or 5-dimensionalcross polytope.[5]

In thegematria ofEleazar of Worms, the Hebrew words "temunah" (image) and "parsuf 'adam" (human face) both had thenumerological value of 501. Eleazar used this equivalence to argue that, in several Biblical passages, God appeared to His prophets in the form of a human face.[6]

Other uses

[edit]

501 is commonly used to refer to people deported from Australia under section 501 of the1958 Migration Act.[7]

References

[edit]
  1. ^Sloane, N. J. A. (ed.)."Sequence A007504 (Sum of first n primes)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  2. ^Sloane, N. J. A. (ed.)."Sequence A051894 (Number of monic polynomials with integer coefficients of degree n with all roots in unit disc)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  3. ^Sloane, N. J. A. (ed.)."Sequence A000247 (2^n-n-2)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  4. ^Sloane, N. J. A. (ed.)."Sequence A000262 (Number of "sets of lists": number of partitions of {1,..,n} into any number of lists, where a list means an ordered subset)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  5. ^Sloane, N. J. A. (ed.)."Sequence A069038 (G.f.: x*(1+x)^4/(1-x)^6)".TheOn-Line Encyclopedia of Integer Sequences. OEIS Foundation.
  6. ^Wolfson, Elliot R. (1997),Through a Speculum That Shines: Vision and Imagination in Medieval Jewish Mysticism, Princeton University Press, p. 222,ISBN 978-0-691-01722-8.
  7. ^Vance, Andrea; Ensor, Blair; McGregor, Iain (2019)."Product of Australia".Stuff.The deportees are known as 501s, named after the character section of the Australian Migration Act that allows the cancellation of their visa
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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