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31,972

31,972 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).
Deficient Number Odious Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
22
Digit product
378
Digital root
4
Palindrome
No
Bit width
15 bits
Reversed
27,913
Recamán's sequence
a(13,391) = 31,972
Square (n²)
1,022,208,784
Cube (n³)
32,682,059,242,048
Divisor count
6
σ(n) — sum of divisors
55,958
φ(n) — Euler's totient
15,984
Sum of prime factors
7,997

Primality

Prime factorization: 2 2 × 7993

Nearest primes: 31,963 (−9) · 31,973 (+1)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 7993 · 15986 (half) · 31972
Aliquot sum (sum of proper divisors): 23,986
Factor pairs (a × b = 31,972)
1 × 31972
2 × 15986
4 × 7993
First multiples
31,972 · 63,944 (double) · 95,916 · 127,888 · 159,860 · 191,832 · 223,804 · 255,776 · 287,748 · 319,720

Sums & aliquot sequence

As a sum of two squares: 106² + 144²
As consecutive integers: 3,993 + 3,994 + … + 4,000
Aliquot sequence: 31,972 23,986 12,734 6,370 7,994 5,734 3,194 1,600 2,337 1,023 513 287 49 8 7 1 0 — terminates at zero

Representations

In words
thirty-one thousand nine hundred seventy-two
Ordinal
31972nd
Binary
111110011100100
Octal
76344
Hexadecimal
0x7CE4
Base64
fOQ=
One's complement
33,563 (16-bit)
In other bases
ternary (3) 1121212011
quaternary (4) 13303210
quinary (5) 2010342
senary (6) 404004
septenary (7) 162133
nonary (9) 47764
undecimal (11) 22026
duodecimal (12) 16604
tridecimal (13) 11725
tetradecimal (14) b91a
pentadecimal (15) 9717

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵λαϡοβʹ
Mayan (base 20)
𝋣·𝋳·𝋲·𝋬
Chinese
三萬一千九百七十二
Chinese (financial)
參萬壹仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ٣١٩٧٢ Devanagari ३१९७२ Bengali ৩১৯৭২ Tamil ௩௧௯௭௨ Thai ๓๑๙๗๒ Tibetan ༣༡༩༧༢ Khmer ៣១៩៧២ Lao ໓໑໙໗໒ Burmese ၃၁၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 31,972 = 9
e — Euler's number (e)
Digit 31,972 = 7
φ — Golden ratio (φ)
Digit 31,972 = 9
√2 — Pythagoras's (√2)
Digit 31,972 = 0
ln 2 — Natural log of 2
Digit 31,972 = 4
γ — Euler-Mascheroni (γ)
Digit 31,972 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 31972, here are decompositions:

  • 89 + 31883 = 31972
  • 113 + 31859 = 31972
  • 173 + 31799 = 31972
  • 179 + 31793 = 31972
  • 251 + 31721 = 31972
  • 389 + 31583 = 31972
  • 431 + 31541 = 31972
  • 461 + 31511 = 31972

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-7Ce4
U+7CE4
Other letter (Lo)

UTF-8 encoding: E7 B3 A4 (3 bytes).

Hex color
#007CE4
RGB(0, 124, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.124.228.

Address
0.0.124.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.124.228

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000031972
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 31972 first appears in π at position 134,720 of the decimal expansion (the 134,720ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.