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23,972

23,972 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.).
Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
756
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
27,932
Recamán's sequence
a(38,371) = 23,972
Square (n²)
574,656,784
Cube (n³)
13,775,672,426,048
Divisor count
12
σ(n) — sum of divisors
45,276
φ(n) — Euler's totient
11,040
Sum of prime factors
478

Primality

Prime factorization: 2 2 × 13 × 461

Nearest primes: 23,971 (−1) · 23,977 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 461 · 922 · 1844 · 5993 · 11986 (half) · 23972
Aliquot sum (sum of proper divisors): 21,304
Factor pairs (a × b = 23,972)
1 × 23972
2 × 11986
4 × 5993
13 × 1844
26 × 922
52 × 461
First multiples
23,972 · 47,944 (double) · 71,916 · 95,888 · 119,860 · 143,832 · 167,804 · 191,776 · 215,748 · 239,720

Sums & aliquot sequence

As a sum of two squares: 16² + 154² = 74² + 136²
As consecutive integers: 2,993 + 2,994 + … + 3,000 1,838 + 1,839 + … + 1,850 179 + 180 + … + 282
Aliquot sequence: 23,972 21,304 18,656 22,168 22,112 21,484 17,324 13,924 10,863 5,985 6,495 3,921 1,311 609 351 209 31 — unresolved within range

Representations

In words
twenty-three thousand nine hundred seventy-two
Ordinal
23972nd
Binary
101110110100100
Octal
56644
Hexadecimal
0x5DA4
Base64
XaQ=
One's complement
41,563 (16-bit)
In other bases
ternary (3) 1012212212
quaternary (4) 11312210
quinary (5) 1231342
senary (6) 302552
septenary (7) 126614
nonary (9) 35785
undecimal (11) 17013
duodecimal (12) 11a58
tridecimal (13) abb0
tetradecimal (14) 8a44
pentadecimal (15) 7182

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵κγϡοβʹ
Mayan (base 20)
𝋢·𝋳·𝋲·𝋬
Chinese
二萬三千九百七十二
Chinese (financial)
貳萬參仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ٢٣٩٧٢ Devanagari २३९७२ Bengali ২৩৯৭২ Tamil ௨௩௯௭௨ Thai ๒๓๙๗๒ Tibetan ༢༣༩༧༢ Khmer ២៣៩៧២ Lao ໒໓໙໗໒ Burmese ၂၃၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 23,972 = 4
e — Euler's number (e)
Digit 23,972 = 2
φ — Golden ratio (φ)
Digit 23,972 = 4
√2 — Pythagoras's (√2)
Digit 23,972 = 7
ln 2 — Natural log of 2
Digit 23,972 = 4
γ — Euler-Mascheroni (γ)
Digit 23,972 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 23972, here are decompositions:

  • 43 + 23929 = 23972
  • 61 + 23911 = 23972
  • 73 + 23899 = 23972
  • 79 + 23893 = 23972
  • 103 + 23869 = 23972
  • 139 + 23833 = 23972
  • 199 + 23773 = 23972
  • 211 + 23761 = 23972

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5Da4
U+5DA4
Other letter (Lo)

UTF-8 encoding: E5 B6 A4 (3 bytes).

Hex color
#005DA4
RGB(0, 93, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.93.164.

Address
0.0.93.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.93.164

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

Position in π

The digit sequence 23972 first appears in π at position 67,533 of the decimal expansion (the 67,533ordinal-suffix:rd 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.