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7,972

7,972 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 Pernicious Number Recamán's Sequence

Properties

Parity
Even
Digit count
4
Digit sum
25
Digit product
882
Digital root
7
Palindrome
No
Bit width
13 bits
Reversed
2,797
Recamán's sequence
a(25,652) = 7,972
Square (n²)
63,552,784
Cube (n³)
506,642,794,048
Divisor count
6
σ(n) — sum of divisors
13,958
φ(n) — Euler's totient
3,984
Sum of prime factors
1,997

Primality

Prime factorization: 2 2 × 1993

Nearest primes: 7,963 (−9) · 7,993 (+21)

Divisors & multiples

All divisors (6)
1 · 2 · 4 · 1993 · 3986 (half) · 7972
Aliquot sum (sum of proper divisors): 5,986
Factor pairs (a × b = 7,972)
1 × 7972
2 × 3986
4 × 1993
First multiples
7,972 · 15,944 (double) · 23,916 · 31,888 · 39,860 · 47,832 · 55,804 · 63,776 · 71,748 · 79,720

Sums & aliquot sequence

As a sum of two squares: 24² + 86²
As consecutive integers: 993 + 994 + … + 1,000
Aliquot sequence: 7,972 5,986 3,338 1,672 1,928 1,702 1,034 694 350 394 200 265 59 1 0 — terminates at zero

Representations

In words
seven thousand nine hundred seventy-two
Ordinal
7972nd
Binary
1111100100100
Octal
17444
Hexadecimal
0x1F24
Base64
HyQ=
One's complement
57,563 (16-bit)
In other bases
ternary (3) 101221021
quaternary (4) 1330210
quinary (5) 223342
senary (6) 100524
septenary (7) 32146
nonary (9) 11837
undecimal (11) 5a98
duodecimal (12) 4744
tridecimal (13) 3823
tetradecimal (14) 2c96
pentadecimal (15) 2567

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ζϡοβʹ
Mayan (base 20)
𝋳·𝋲·𝋬
Chinese
七千九百七十二
Chinese (financial)
柒仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ٧٩٧٢ Devanagari ७९७२ Bengali ৭৯৭২ Tamil ௭௯௭௨ Thai ๗๙๗๒ Tibetan ༧༩༧༢ Khmer ៧៩៧២ Lao ໗໙໗໒ Burmese ၇၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 7,972 = 3
e — Euler's number (e)
Digit 7,972 = 5
φ — Golden ratio (φ)
Digit 7,972 = 3
√2 — Pythagoras's (√2)
Digit 7,972 = 6
ln 2 — Natural log of 2
Digit 7,972 = 0
γ — Euler-Mascheroni (γ)
Digit 7,972 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 7972, here are decompositions:

  • 23 + 7949 = 7972
  • 53 + 7919 = 7972
  • 71 + 7901 = 7972
  • 89 + 7883 = 7972
  • 131 + 7841 = 7972
  • 149 + 7823 = 7972
  • 179 + 7793 = 7972
  • 269 + 7703 = 7972

Showing the first eight; more decompositions exist.

Unicode codepoint
Greek Small Letter Eta With Psili And Oxia
U+1F24
Lowercase letter (Ll)

UTF-8 encoding: E1 BC A4 (3 bytes).

Hex color
#001F24
RGB(0, 31, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.31.36.

Address
0.0.31.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.31.36

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

Position in π

The digit sequence 7972 first appears in π at position 4,288 of the decimal expansion (the 4,288ordinal-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.