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131,922

131,922 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.).

131,922 (one hundred thirty-one thousand nine hundred twenty-two) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3³ × 7 × 349. Its proper divisors sum to 204,078, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20352.

Abundant Number Arithmetic Number Evil Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
108
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
229,131
Recamán's sequence
a(228,528) = 131,922
Square (n²)
17,403,414,084
Cube (n³)
2,295,893,192,789,448
Divisor count
32
σ(n) — sum of divisors
336,000
φ(n) — Euler's totient
37,584
Sum of prime factors
367

Primality

Prime factorization: 2 × 3 3 × 7 × 349

Nearest primes: 131,909 (−13) · 131,927 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 6 · 7 · 9 · 14 · 18 · 21 · 27 · 42 · 54 · 63 · 126 · 189 · 349 · 378 · 698 · 1047 · 2094 · 2443 · 3141 · 4886 · 6282 · 7329 · 9423 · 14658 · 18846 · 21987 · 43974 · 65961 (half) · 131922
Aliquot sum (sum of proper divisors): 204,078
Factor pairs (a × b = 131,922)
1 × 131922
2 × 65961
3 × 43974
6 × 21987
7 × 18846
9 × 14658
14 × 9423
18 × 7329
21 × 6282
27 × 4886
42 × 3141
54 × 2443
63 × 2094
126 × 1047
189 × 698
349 × 378
First multiples
131,922 · 263,844 (double) · 395,766 · 527,688 · 659,610 · 791,532 · 923,454 · 1,055,376 · 1,187,298 · 1,319,220

Sums & aliquot sequence

As consecutive integers: 43,973 + 43,974 + 43,975 32,979 + 32,980 + 32,981 + 32,982 18,843 + 18,844 + … + 18,849 14,654 + 14,655 + … + 14,662
Aliquot sequence: 131,922 204,078 277,458 283,278 301,938 464,142 625,650 978,414 991,506 1,002,318 1,025,922 1,040,478 1,150,242 1,150,254 1,960,146 2,395,854 2,795,202 — unresolved within range

Continued fraction of √n

√131,922 = [363; (4, 1, 2, 1, 16, 1, 50, 1, 16, 1, 2, 1, 4, 726)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred twenty-two
Ordinal
131922nd
Binary
100000001101010010
Octal
401522
Hexadecimal
0x20352
Base64
AgNS
One's complement
4,294,835,373 (32-bit)
Scientific notation
1.31922 × 10⁵
As a duration
131,922 s = 1 day, 12 hours, 38 minutes, 42 seconds
In other bases
ternary (3) 20200222000
quaternary (4) 200031102
quinary (5) 13210142
senary (6) 2454430
septenary (7) 1056420
nonary (9) 220860
undecimal (11) 9012a
duodecimal (12) 64416
tridecimal (13) 4807b
tetradecimal (14) 36110
pentadecimal (15) 2914c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαϡκβʹ
Mayan (base 20)
𝋰·𝋩·𝋰·𝋢
Chinese
一十三萬一千九百二十二
Chinese (financial)
壹拾參萬壹仟玖佰貳拾貳
In other modern scripts
Eastern Arabic ١٣١٩٢٢ Devanagari १३१९२२ Bengali ১৩১৯২২ Tamil ௧௩௧௯௨௨ Thai ๑๓๑๙๒๒ Tibetan ༡༣༡༩༢༢ Khmer ១៣១៩២២ Lao ໑໓໑໙໒໒ Burmese ၁၃၁၉၂၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131922, here are decompositions:

  • 13 + 131909 = 131922
  • 23 + 131899 = 131922
  • 29 + 131893 = 131922
  • 31 + 131891 = 131922
  • 61 + 131861 = 131922
  • 73 + 131849 = 131922
  • 83 + 131839 = 131922
  • 139 + 131783 = 131922

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍒
CJK Unified Ideograph-20352
U+20352
Other letter (Lo)

UTF-8 encoding: F0 A0 8D 92 (4 bytes).

Hex color
#020352
RGB(2, 3, 82)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.82.

Address
0.2.3.82
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.82

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

Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 131,922 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 131922 first appears in π at position 213,252 of the decimal expansion (the 213,252ordinal-suffix:nd 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.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.