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131,632

131,632 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.).

131,632 (one hundred thirty-one thousand six hundred thirty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 19 × 433. Its proper divisors sum to 137,448, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20230.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
108
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
236,131
Recamán's sequence
a(229,108) = 131,632
Square (n²)
17,326,983,424
Cube (n³)
2,280,785,482,067,968
Divisor count
20
σ(n) — sum of divisors
269,080
φ(n) — Euler's totient
62,208
Sum of prime factors
460

Primality

Prime factorization: 2 4 × 19 × 433

Nearest primes: 131,627 (−5) · 131,639 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 19 · 38 · 76 · 152 · 304 · 433 · 866 · 1732 · 3464 · 6928 · 8227 · 16454 · 32908 · 65816 (half) · 131632
Aliquot sum (sum of proper divisors): 137,448
Factor pairs (a × b = 131,632)
1 × 131632
2 × 65816
4 × 32908
8 × 16454
16 × 8227
19 × 6928
38 × 3464
76 × 1732
152 × 866
304 × 433
First multiples
131,632 · 263,264 (double) · 394,896 · 526,528 · 658,160 · 789,792 · 921,424 · 1,053,056 · 1,184,688 · 1,316,320

Sums & aliquot sequence

As consecutive integers: 6,919 + 6,920 + … + 6,937 4,098 + 4,099 + … + 4,129 88 + 89 + … + 520
Aliquot sequence: 131,632 137,448 255,672 460,368 893,712 1,474,192 1,402,608 2,220,920 3,161,800 4,189,850 4,717,318 2,561,018 1,291,930 1,033,562 629,638 326,450 280,840 — unresolved within range

Continued fraction of √n

√131,632 = [362; (1, 4, 3, 2, 1, 4, 22, 2, 6, 4, 2, 1, 5, 45, 5, 1, 2, 4, 6, 2, 22, 4, 1, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred thirty-two
Ordinal
131632nd
Binary
100000001000110000
Octal
401060
Hexadecimal
0x20230
Base64
AgIw
One's complement
4,294,835,663 (32-bit)
Scientific notation
1.31632 × 10⁵
As a duration
131,632 s = 1 day, 12 hours, 33 minutes, 52 seconds
In other bases
ternary (3) 20200120021
quaternary (4) 200020300
quinary (5) 13203012
senary (6) 2453224
septenary (7) 1055524
nonary (9) 220507
undecimal (11) 8a996
duodecimal (12) 64214
tridecimal (13) 47bb7
tetradecimal (14) 35d84
pentadecimal (15) 29007

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαχλβʹ
Mayan (base 20)
𝋰·𝋩·𝋡·𝋬
Chinese
一十三萬一千六百三十二
Chinese (financial)
壹拾參萬壹仟陸佰參拾貳
In other modern scripts
Eastern Arabic ١٣١٦٣٢ Devanagari १३१६३२ Bengali ১৩১৬৩২ Tamil ௧௩௧௬௩௨ Thai ๑๓๑๖๓๒ Tibetan ༡༣༡༦༣༢ Khmer ១៣១៦៣២ Lao ໑໓໑໖໓໒ Burmese ၁၃၁၆၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131632, here are decompositions:

  • 5 + 131627 = 131632
  • 41 + 131591 = 131632
  • 71 + 131561 = 131632
  • 89 + 131543 = 131632
  • 113 + 131519 = 131632
  • 131 + 131501 = 131632
  • 191 + 131441 = 131632
  • 251 + 131381 = 131632

Showing the first eight; more decompositions exist.

Unicode codepoint
𠈰
CJK Unified Ideograph-20230
U+20230
Other letter (Lo)

UTF-8 encoding: F0 A0 88 B0 (4 bytes).

Hex color
#020230
RGB(2, 2, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.48.

Address
0.2.2.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.48

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 131,632 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 131632 first appears in π at position 355,310 of the decimal expansion (the 355,310ordinal-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.

Related reading