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131,992

131,992 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.).

131,992 (one hundred thirty-one thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,357. Its proper divisors sum to 150,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20398.

Abundant Number Arithmetic Number Evil Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
486
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
299,131
Recamán's sequence
a(228,388) = 131,992
Square (n²)
17,421,888,064
Cube (n³)
2,299,549,849,343,488
Divisor count
16
σ(n) — sum of divisors
282,960
φ(n) — Euler's totient
56,544
Sum of prime factors
2,370

Primality

Prime factorization: 2 3 × 7 × 2357

Nearest primes: 131,969 (−23) · 132,001 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2357 · 4714 · 9428 · 16499 · 18856 · 32998 · 65996 (half) · 131992
Aliquot sum (sum of proper divisors): 150,968
Factor pairs (a × b = 131,992)
1 × 131992
2 × 65996
4 × 32998
7 × 18856
8 × 16499
14 × 9428
28 × 4714
56 × 2357
First multiples
131,992 · 263,984 (double) · 395,976 · 527,968 · 659,960 · 791,952 · 923,944 · 1,055,936 · 1,187,928 · 1,319,920

Sums & aliquot sequence

As consecutive integers: 18,853 + 18,854 + … + 18,859 8,242 + 8,243 + … + 8,257 1,123 + 1,124 + … + 1,234
Aliquot sequence: 131,992 150,968 136,312 142,688 210,112 282,140 310,396 240,756 321,036 453,108 623,212 472,988 354,748 271,724 203,800 270,500 321,364 — unresolved within range

Continued fraction of √n

√131,992 = [363; (3, 3, 1, 8, 4, 1, 29, 2, 8, 6, 3, 4, 1, 79, 1, 11, 1, 79, 1, 4, 3, 6, 8, 2, …)]

Period length 32 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred ninety-two
Ordinal
131992nd
Binary
100000001110011000
Octal
401630
Hexadecimal
0x20398
Base64
AgOY
One's complement
4,294,835,303 (32-bit)
Scientific notation
1.31992 × 10⁵
As a duration
131,992 s = 1 day, 12 hours, 39 minutes, 52 seconds
In other bases
ternary (3) 20201001121
quaternary (4) 200032120
quinary (5) 13210432
senary (6) 2455024
septenary (7) 1056550
nonary (9) 221047
undecimal (11) 90193
duodecimal (12) 64474
tridecimal (13) 48103
tetradecimal (14) 36160
pentadecimal (15) 29197

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαϡϟβʹ
Mayan (base 20)
𝋰·𝋩·𝋳·𝋬
Chinese
一十三萬一千九百九十二
Chinese (financial)
壹拾參萬壹仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ١٣١٩٩٢ Devanagari १३१९९२ Bengali ১৩১৯৯২ Tamil ௧௩௧௯௯௨ Thai ๑๓๑๙๙๒ Tibetan ༡༣༡༩༩༢ Khmer ១៣១៩៩២ Lao ໑໓໑໙໙໒ Burmese ၁၃၁၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131992, here are decompositions:

  • 23 + 131969 = 131992
  • 53 + 131939 = 131992
  • 59 + 131933 = 131992
  • 83 + 131909 = 131992
  • 101 + 131891 = 131992
  • 131 + 131861 = 131992
  • 233 + 131759 = 131992
  • 281 + 131711 = 131992

Showing the first eight; more decompositions exist.

Unicode codepoint
𠎘
CJK Unified Ideograph-20398
U+20398
Other letter (Lo)

UTF-8 encoding: F0 A0 8E 98 (4 bytes).

Hex color
#020398
RGB(2, 3, 152)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.152.

Address
0.2.3.152
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.152

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 131,992 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 131992 first appears in π at position 173,461 of the decimal expansion (the 173,461ordinal-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