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131,687

131,687 is a prime, odd.

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.).

131,687 (one hundred thirty-one thousand six hundred eighty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20267.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
1,008
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
786,131
Recamán's sequence
a(228,998) = 131,687
Square (n²)
17,341,465,969
Cube (n³)
2,283,645,629,059,703
Divisor count
2
σ(n) — sum of divisors
131,688
φ(n) — Euler's totient
131,686

Primality

131,687 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131687
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,687)
1 × 131687
First multiples
131,687 · 263,374 (double) · 395,061 · 526,748 · 658,435 · 790,122 · 921,809 · 1,053,496 · 1,185,183 · 1,316,870

Sums & aliquot sequence

As consecutive integers: 65,843 + 65,844

Continued fraction of √n

√131,687 = [362; (1, 7, 1, 5, 1, 3, 2, 1, 15, 11, 1, 5, 31, 2, 1, 1, 2, 2, 1, 16, 1, 361, 1, 16, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred eighty-seven
Ordinal
131687th
Binary
100000001001100111
Octal
401147
Hexadecimal
0x20267
Base64
AgJn
One's complement
4,294,835,608 (32-bit)
Scientific notation
1.31687 × 10⁵
As a duration
131,687 s = 1 day, 12 hours, 34 minutes, 47 seconds
In other bases
ternary (3) 20200122022
quaternary (4) 200021213
quinary (5) 13203222
senary (6) 2453355
septenary (7) 1055633
nonary (9) 220568
undecimal (11) 8aa36
duodecimal (12) 6425b
tridecimal (13) 47c2a
tetradecimal (14) 35dc3
pentadecimal (15) 29042

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαχπζʹ
Mayan (base 20)
𝋰·𝋩·𝋤·𝋧
Chinese
一十三萬一千六百八十七
Chinese (financial)
壹拾參萬壹仟陸佰捌拾柒
In other modern scripts
Eastern Arabic ١٣١٦٨٧ Devanagari १३१६८७ Bengali ১৩১৬৮৭ Tamil ௧௩௧௬௮௭ Thai ๑๓๑๖๘๗ Tibetan ༡༣༡༦༨༧ Khmer ១៣១៦៨៧ Lao ໑໓໑໖໘໗ Burmese ၁၃၁၆၈၇

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠉧
CJK Unified Ideograph-20267
U+20267
Other letter (Lo)

UTF-8 encoding: F0 A0 89 A7 (4 bytes).

Hex color
#020267
RGB(2, 2, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.103.

Address
0.2.2.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.103

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 131,687 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 131687 first appears in π at position 647,150 of the decimal expansion (the 647,150ordinal-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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.