501 (number)

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← 500 501 502 →
Cardinal five hundred one
Ordinal 501st
(five hundred first)
Factorization 3 × 167
Greek numeral ΦΑ´
Roman numeral DI
Binary 1111101012
Ternary 2001203
Octal 7658
Duodecimal 35912
Hexadecimal 1F516

501 (five hundred [and] one) is the natural number following 500 and preceding 502.

501 is the sum of the first eighteen primes. [1] There are 501 degree-8 polynomials 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 a figurate number based on the 5-orthoplex or 5-dimensional cross polytope. [5]

In the gematria of Eleazar of Worms, the Hebrew words "temunah" (image) and "parsuf 'adam" (human face) both had the numerological 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

501 is commonly used to refer to people deported from Australia under section 501 of the 1958 Migration Act. [7]

Related Research Articles

222 is the natural number following 221 and preceding 223.

68 (sixty-eight) is the natural number following 67 and preceding 69. It is an even number.

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

400 is the natural number following 399 and preceding 401.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10 it is a Harshad number.

2000 is a natural number following 1999 and preceding 2001.

126 is the natural number following 125 and preceding 127.

1,000,000 Natural number

One million (1,000,000), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian millione, from mille, "thousand", plus the augmentative suffix -one.

1,000,000,000 Natural number

1,000,000,000 is the natural number following 999,999,999 and preceding 1,000,000,001. With a number, "billion" can be abbreviated as b, bil or bn.

100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.

10,000,000 is the natural number following 9,999,999 and preceding 10,000,001.

277 is the natural number following 276 and preceding 278.

204 is the natural number following 203 and preceding 205.

252 is the natural number following 251 and preceding 253.

219 is the natural number following 218 and preceding 220.

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA007504(Sum of first n primes)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  2. ↑ Sloane, N. J. A. (ed.). "SequenceA051894(Number of monic polynomials with integer coefficients of degree n with all roots in unit disc)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  3. ↑ Sloane, N. J. A. (ed.). "SequenceA000247(2^n-n-2)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  4. ↑ Sloane, N. J. A. (ed.). "SequenceA000262(Number of "sets of lists": number of partitions of {1,..,n} into any number of lists, where a list means an ordered subset)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.
  5. ↑ Sloane, N. J. A. (ed.). "SequenceA069038(G.f.: x*(1+x)^4/(1-x)^6)". The On-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
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