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21,972

21,972 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.).
Abundant Number Evil Number Happy Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
252
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
27,912
Recamán's sequence
a(167,819) = 21,972
Square (n²)
482,768,784
Cube (n³)
10,607,395,722,048
Divisor count
12
σ(n) — sum of divisors
51,296
φ(n) — Euler's totient
7,320
Sum of prime factors
1,838

Primality

Prime factorization: 2 2 × 3 × 1831

Nearest primes: 21,961 (−11) · 21,977 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 1831 · 3662 · 5493 · 7324 · 10986 (half) · 21972
Aliquot sum (sum of proper divisors): 29,324
Factor pairs (a × b = 21,972)
1 × 21972
2 × 10986
3 × 7324
4 × 5493
6 × 3662
12 × 1831
First multiples
21,972 · 43,944 (double) · 65,916 · 87,888 · 109,860 · 131,832 · 153,804 · 175,776 · 197,748 · 219,720

Sums & aliquot sequence

As consecutive integers: 7,323 + 7,324 + 7,325 2,743 + 2,744 + … + 2,750 904 + 905 + … + 927
Aliquot sequence: 21,972 29,324 22,000 36,032 35,596 32,444 24,340 26,816 26,524 22,476 29,996 22,504 21,596 16,204 12,160 18,440 23,140 — unresolved within range

Representations

In words
twenty-one thousand nine hundred seventy-two
Ordinal
21972nd
Binary
101010111010100
Octal
52724
Hexadecimal
0x55D4
Base64
VdQ=
One's complement
43,563 (16-bit)
In other bases
ternary (3) 1010010210
quaternary (4) 11113110
quinary (5) 1200342
senary (6) 245420
septenary (7) 121026
nonary (9) 33123
undecimal (11) 15565
duodecimal (12) 10870
tridecimal (13) a002
tetradecimal (14) 8016
pentadecimal (15) 679c

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵καϡοβʹ
Mayan (base 20)
𝋢·𝋮·𝋲·𝋬
Chinese
二萬一千九百七十二
Chinese (financial)
貳萬壹仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ٢١٩٧٢ Devanagari २१९७२ Bengali ২১৯৭২ Tamil ௨௧௯௭௨ Thai ๒๑๙๗๒ Tibetan ༢༡༩༧༢ Khmer ២១៩៧២ Lao ໒໑໙໗໒ Burmese ၂၁၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 21,972 = 5
e — Euler's number (e)
Digit 21,972 = 0
φ — Golden ratio (φ)
Digit 21,972 = 3
√2 — Pythagoras's (√2)
Digit 21,972 = 0
ln 2 — Natural log of 2
Digit 21,972 = 0
γ — Euler-Mascheroni (γ)
Digit 21,972 = 5

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21972, here are decompositions:

  • 11 + 21961 = 21972
  • 29 + 21943 = 21972
  • 43 + 21929 = 21972
  • 61 + 21911 = 21972
  • 79 + 21893 = 21972
  • 101 + 21871 = 21972
  • 109 + 21863 = 21972
  • 113 + 21859 = 21972

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-55D4
U+55D4
Other letter (Lo)

UTF-8 encoding: E5 97 94 (3 bytes).

Hex color
#0055D4
RGB(0, 85, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.212.

Address
0.0.85.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.212

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

Position in π

The digit sequence 21972 first appears in π at position 85,109 of the decimal expansion (the 85,109ordinal-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.