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131,612

131,612 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.).

131,612 (one hundred thirty-one thousand six hundred twelve) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 2,531. Written other ways, in hexadecimal, 0x2021C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
36
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
216,131
Recamán's sequence
a(229,148) = 131,612
Square (n²)
17,321,718,544
Cube (n³)
2,279,746,021,012,928
Divisor count
12
σ(n) — sum of divisors
248,136
φ(n) — Euler's totient
60,720
Sum of prime factors
2,548

Primality

Prime factorization: 2 2 × 13 × 2531

Nearest primes: 131,611 (−1) · 131,617 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 2531 · 5062 · 10124 · 32903 · 65806 (half) · 131612
Aliquot sum (sum of proper divisors): 116,524
Factor pairs (a × b = 131,612)
1 × 131612
2 × 65806
4 × 32903
13 × 10124
26 × 5062
52 × 2531
First multiples
131,612 · 263,224 (double) · 394,836 · 526,448 · 658,060 · 789,672 · 921,284 · 1,052,896 · 1,184,508 · 1,316,120

Sums & aliquot sequence

As consecutive integers: 16,448 + 16,449 + … + 16,455 10,118 + 10,119 + … + 10,130 1,214 + 1,215 + … + 1,317
Aliquot sequence: 131,612 116,524 87,400 135,800 228,760 404,840 540,160 761,096 869,944 805,856 780,736 910,904 852,616 757,124 576,124 432,100 544,400 — unresolved within range

Continued fraction of √n

√131,612 = [362; (1, 3, 1, 1, 1, 1, 1, 6, 1, 1, 3, 1, 1, 13, 7, 1, 4, 2, 1, 9, 1, 54, 1, 9, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred twelve
Ordinal
131612th
Binary
100000001000011100
Octal
401034
Hexadecimal
0x2021C
Base64
AgIc
One's complement
4,294,835,683 (32-bit)
Scientific notation
1.31612 × 10⁵
As a duration
131,612 s = 1 day, 12 hours, 33 minutes, 32 seconds
In other bases
ternary (3) 20200112112
quaternary (4) 200020130
quinary (5) 13202422
senary (6) 2453152
septenary (7) 1055465
nonary (9) 220475
undecimal (11) 8a978
duodecimal (12) 641b8
tridecimal (13) 47ba0
tetradecimal (14) 35d6c
pentadecimal (15) 28ee2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρλαχιβʹ
Mayan (base 20)
𝋰·𝋩·𝋠·𝋬
Chinese
一十三萬一千六百一十二
Chinese (financial)
壹拾參萬壹仟陸佰壹拾貳
In other modern scripts
Eastern Arabic ١٣١٦١٢ Devanagari १३१६१२ Bengali ১৩১৬১২ Tamil ௧௩௧௬௧௨ Thai ๑๓๑๖๑๒ Tibetan ༡༣༡༦༡༢ Khmer ១៣១៦១២ Lao ໑໓໑໖໑໒ Burmese ၁၃၁၆၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131612, here are decompositions:

  • 31 + 131581 = 131612
  • 163 + 131449 = 131612
  • 181 + 131431 = 131612
  • 199 + 131413 = 131612
  • 241 + 131371 = 131612
  • 409 + 131203 = 131612
  • 463 + 131149 = 131612
  • 499 + 131113 = 131612

Showing the first eight; more decompositions exist.

Unicode codepoint
𠈜
CJK Unified Ideograph-2021C
U+2021C
Other letter (Lo)

UTF-8 encoding: F0 A0 88 9C (4 bytes).

Hex color
#02021C
RGB(2, 2, 28)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.28.

Address
0.2.2.28
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.28

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 131,612 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 131612 first appears in π at position 309,863 of the decimal expansion (the 309,863ordinal-suffix:rd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.