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131,892

131,892 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.).

131,892 (one hundred thirty-one thousand eight hundred ninety-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 29 × 379. Its proper divisors sum to 187,308, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20334.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
432
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
298,131
Recamán's sequence
a(228,588) = 131,892
Square (n²)
17,395,499,664
Cube (n³)
2,294,327,241,684,288
Divisor count
24
σ(n) — sum of divisors
319,200
φ(n) — Euler's totient
42,336
Sum of prime factors
415

Primality

Prime factorization: 2 2 × 3 × 29 × 379

Nearest primes: 131,891 (−1) · 131,893 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 29 · 58 · 87 · 116 · 174 · 348 · 379 · 758 · 1137 · 1516 · 2274 · 4548 · 10991 · 21982 · 32973 · 43964 · 65946 (half) · 131892
Aliquot sum (sum of proper divisors): 187,308
Factor pairs (a × b = 131,892)
1 × 131892
2 × 65946
3 × 43964
4 × 32973
6 × 21982
12 × 10991
29 × 4548
58 × 2274
87 × 1516
116 × 1137
174 × 758
348 × 379
First multiples
131,892 · 263,784 (double) · 395,676 · 527,568 · 659,460 · 791,352 · 923,244 · 1,055,136 · 1,187,028 · 1,318,920

Sums & aliquot sequence

As consecutive integers: 43,963 + 43,964 + 43,965 16,483 + 16,484 + … + 16,490 5,484 + 5,485 + … + 5,507 4,534 + 4,535 + … + 4,562
Aliquot sequence: 131,892 187,308 345,224 361,096 315,974 178,666 91,514 45,760 82,256 81,796 88,577 979 101 1 0 — terminates at zero

Continued fraction of √n

√131,892 = [363; (5, 1, 9, 2, 1, 1, 11, 1, 2, 1, 1, 44, 1, 4, 1, 1, 1, 7, 6, 7, 1, 1, 1, 4, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred ninety-two
Ordinal
131892nd
Binary
100000001100110100
Octal
401464
Hexadecimal
0x20334
Base64
AgM0
One's complement
4,294,835,403 (32-bit)
Scientific notation
1.31892 × 10⁵
As a duration
131,892 s = 1 day, 12 hours, 38 minutes, 12 seconds
In other bases
ternary (3) 20200220220
quaternary (4) 200030310
quinary (5) 13210032
senary (6) 2454340
septenary (7) 1056345
nonary (9) 220826
undecimal (11) 90102
duodecimal (12) 643b0
tridecimal (13) 48057
tetradecimal (14) 360cc
pentadecimal (15) 2912c

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαωϟβʹ
Mayan (base 20)
𝋰·𝋩·𝋮·𝋬
Chinese
一十三萬一千八百九十二
Chinese (financial)
壹拾參萬壹仟捌佰玖拾貳
In other modern scripts
Eastern Arabic ١٣١٨٩٢ Devanagari १३१८९२ Bengali ১৩১৮৯২ Tamil ௧௩௧௮௯௨ Thai ๑๓๑๘๙๒ Tibetan ༡༣༡༨༩༢ Khmer ១៣១៨៩២ Lao ໑໓໑໘໙໒ Burmese ၁၃၁၈၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131892, here are decompositions:

  • 31 + 131861 = 131892
  • 43 + 131849 = 131892
  • 53 + 131839 = 131892
  • 109 + 131783 = 131892
  • 113 + 131779 = 131892
  • 149 + 131743 = 131892
  • 179 + 131713 = 131892
  • 181 + 131711 = 131892

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌴
CJK Unified Ideograph-20334
U+20334
Other letter (Lo)

UTF-8 encoding: F0 A0 8C B4 (4 bytes).

Hex color
#020334
RGB(2, 3, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.52.

Address
0.2.3.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.52

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 131,892 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 131892 first appears in π at position 813,361 of the decimal expansion (the 813,361ordinal-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.

Related reading

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