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12,972

12,972 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 Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Practical 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
14 bits
Reversed
27,921
Recamán's sequence
a(48,331) = 12,972
Square (n²)
168,272,784
Cube (n³)
2,182,834,554,048
Divisor count
24
σ(n) — sum of divisors
32,256
φ(n) — Euler's totient
4,048
Sum of prime factors
77

Primality

Prime factorization: 2 2 × 3 × 23 × 47

Nearest primes: 12,967 (−5) · 12,973 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 23 · 46 · 47 · 69 · 92 · 94 · 138 · 141 · 188 · 276 · 282 · 564 · 1081 · 2162 · 3243 · 4324 · 6486 (half) · 12972
Aliquot sum (sum of proper divisors): 19,284
Factor pairs (a × b = 12,972)
1 × 12972
2 × 6486
3 × 4324
4 × 3243
6 × 2162
12 × 1081
23 × 564
46 × 282
47 × 276
69 × 188
92 × 141
94 × 138
First multiples
12,972 · 25,944 (double) · 38,916 · 51,888 · 64,860 · 77,832 · 90,804 · 103,776 · 116,748 · 129,720

Sums & aliquot sequence

As consecutive integers: 4,323 + 4,324 + 4,325 1,618 + 1,619 + … + 1,625 553 + 554 + … + 575 529 + 530 + … + 552
Aliquot sequence: 12,972 19,284 25,740 65,988 122,172 162,924 217,260 490,356 777,456 1,398,744 2,389,716 5,002,284 9,706,452 16,177,644 33,066,936 69,284,664 118,823,256 — unresolved within range

Representations

In words
twelve thousand nine hundred seventy-two
Ordinal
12972nd
Binary
11001010101100
Octal
31254
Hexadecimal
0x32AC
Base64
Mqw=
One's complement
52,563 (16-bit)
In other bases
ternary (3) 122210110
quaternary (4) 3022230
quinary (5) 403342
senary (6) 140020
septenary (7) 52551
nonary (9) 18713
undecimal (11) 9823
duodecimal (12) 7610
tridecimal (13) 5b9b
tetradecimal (14) 4a28
pentadecimal (15) 3c9c

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ιβϡοβʹ
Mayan (base 20)
𝋡·𝋬·𝋨·𝋬
Chinese
一萬二千九百七十二
Chinese (financial)
壹萬貳仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٢٩٧٢ Devanagari १२९७२ Bengali ১২৯৭২ Tamil ௧௨௯௭௨ Thai ๑๒๙๗๒ Tibetan ༡༢༩༧༢ Khmer ១២៩៧២ Lao ໑໒໙໗໒ Burmese ၁၂၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 12,972 = 8
e — Euler's number (e)
Digit 12,972 = 7
φ — Golden ratio (φ)
Digit 12,972 = 6
√2 — Pythagoras's (√2)
Digit 12,972 = 2
ln 2 — Natural log of 2
Digit 12,972 = 6
γ — Euler-Mascheroni (γ)
Digit 12,972 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 12972, here are decompositions:

  • 5 + 12967 = 12972
  • 13 + 12959 = 12972
  • 19 + 12953 = 12972
  • 31 + 12941 = 12972
  • 53 + 12919 = 12972
  • 61 + 12911 = 12972
  • 73 + 12899 = 12972
  • 79 + 12893 = 12972

Showing the first eight; more decompositions exist.

Unicode codepoint
Circled Ideograph Supervise
U+32AC
Other symbol (So)

UTF-8 encoding: E3 8A AC (3 bytes).

Hex color
#0032AC
RGB(0, 50, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.50.172.

Address
0.0.50.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.50.172

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

Position in π

The digit sequence 12972 first appears in π at position 49,021 of the decimal expansion (the 49,021ordinal-suffix:st 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.