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83,972

83,972 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 Evil Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
29
Digit product
3,024
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
27,938
Recamán's sequence
a(269,204) = 83,972
Square (n²)
7,051,296,784
Cube (n³)
592,111,493,546,048
Divisor count
12
σ(n) — sum of divisors
168,000
φ(n) — Euler's totient
35,976
Sum of prime factors
3,010

Primality

Prime factorization: 2 2 × 7 × 2999

Nearest primes: 83,969 (−3) · 83,983 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 2999 · 5998 · 11996 · 20993 · 41986 (half) · 83972
Aliquot sum (sum of proper divisors): 84,028
Factor pairs (a × b = 83,972)
1 × 83972
2 × 41986
4 × 20993
7 × 11996
14 × 5998
28 × 2999
First multiples
83,972 · 167,944 (double) · 251,916 · 335,888 · 419,860 · 503,832 · 587,804 · 671,776 · 755,748 · 839,720

Sums & aliquot sequence

As consecutive integers: 11,993 + 11,994 + … + 11,999 10,493 + 10,494 + … + 10,500 1,472 + 1,473 + … + 1,527
Aliquot sequence: 83,972 84,028 84,084 184,044 317,100 738,388 738,444 1,277,556 2,195,340 4,831,092 9,874,508 9,874,564 10,149,244 10,149,300 27,660,780 71,667,540 187,686,828 — unresolved within range

Representations

In words
eighty-three thousand nine hundred seventy-two
Ordinal
83972nd
Binary
10100100000000100
Octal
244004
Hexadecimal
0x14804
Base64
AUgE
One's complement
4,294,883,323 (32-bit)
In other bases
ternary (3) 11021012002
quaternary (4) 110200010
quinary (5) 10141342
senary (6) 1444432
septenary (7) 466550
nonary (9) 137162
undecimal (11) 580a9
duodecimal (12) 40718
tridecimal (13) 2c2b5
tetradecimal (14) 22860
pentadecimal (15) 19d32

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵πγϡοβʹ
Mayan (base 20)
𝋪·𝋩·𝋲·𝋬
Chinese
八萬三千九百七十二
Chinese (financial)
捌萬參仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ٨٣٩٧٢ Devanagari ८३९७२ Bengali ৮৩৯৭২ Tamil ௮௩௯௭௨ Thai ๘๓๙๗๒ Tibetan ༨༣༩༧༢ Khmer ៨៣៩៧២ Lao ໘໓໙໗໒ Burmese ၈၃၉၇၂

Digit at this position in famous constants

π — Pi (π)
Digit 83,972 = 4
e — Euler's number (e)
Digit 83,972 = 5
φ — Golden ratio (φ)
Digit 83,972 = 2
√2 — Pythagoras's (√2)
Digit 83,972 = 1
ln 2 — Natural log of 2
Digit 83,972 = 1
γ — Euler-Mascheroni (γ)
Digit 83,972 = 8

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 83972, here are decompositions:

  • 3 + 83969 = 83972
  • 61 + 83911 = 83972
  • 103 + 83869 = 83972
  • 139 + 83833 = 83972
  • 181 + 83791 = 83972
  • 199 + 83773 = 83972
  • 211 + 83761 = 83972
  • 271 + 83701 = 83972

Showing the first eight; more decompositions exist.

Hex color
#014804
RGB(1, 72, 4)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.72.4.

Address
0.1.72.4
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.72.4

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

Position in π

The digit sequence 83972 first appears in π at position 19,585 of the decimal expansion (the 19,585ordinal-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.