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131,959

131,959 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.).

131,959 (one hundred thirty-one thousand nine hundred fifty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20377.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
28
Digit product
1,215
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
959,131
Recamán's sequence
a(228,454) = 131,959
Square (n²)
17,413,177,681
Cube (n³)
2,297,825,513,607,079
Divisor count
2
σ(n) — sum of divisors
131,960
φ(n) — Euler's totient
131,958

Primality

131,959 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131959
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,959)
1 × 131959
First multiples
131,959 · 263,918 (double) · 395,877 · 527,836 · 659,795 · 791,754 · 923,713 · 1,055,672 · 1,187,631 · 1,319,590

Sums & aliquot sequence

As consecutive integers: 65,979 + 65,980

Continued fraction of √n

√131,959 = [363; (3, 1, 4, 1, 1, 1, 2, 2, 241, 1, 3, 15, 1, 8, 2, 80, 3, 1, 47, 1, 2, 6, 26, 1, …)]

Representations

In words
one hundred thirty-one thousand nine hundred fifty-nine
Ordinal
131959th
Binary
100000001101110111
Octal
401567
Hexadecimal
0x20377
Base64
AgN3
One's complement
4,294,835,336 (32-bit)
Scientific notation
1.31959 × 10⁵
As a duration
131,959 s = 1 day, 12 hours, 39 minutes, 19 seconds
In other bases
ternary (3) 20201000101
quaternary (4) 200031313
quinary (5) 13210314
senary (6) 2454531
septenary (7) 1056502
nonary (9) 221011
undecimal (11) 90163
duodecimal (12) 64447
tridecimal (13) 480a9
tetradecimal (14) 36139
pentadecimal (15) 29174

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡνθʹ
Mayan (base 20)
𝋰·𝋩·𝋱·𝋳
Chinese
一十三萬一千九百五十九
Chinese (financial)
壹拾參萬壹仟玖佰伍拾玖
In other modern scripts
Eastern Arabic ١٣١٩٥٩ Devanagari १३१९५९ Bengali ১৩১৯৫৯ Tamil ௧௩௧௯௫௯ Thai ๑๓๑๙๕๙ Tibetan ༡༣༡༩༥༩ Khmer ១៣១៩៥៩ Lao ໑໓໑໙໕໙ Burmese ၁၃၁၉၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠍷
CJK Unified Ideograph-20377
U+20377
Other letter (Lo)

UTF-8 encoding: F0 A0 8D B7 (4 bytes).

Hex color
#020377
RGB(2, 3, 119)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.119.

Address
0.2.3.119
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.119

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 131,959 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 131959 first appears in π at position 358,889 of the decimal expansion (the 358,889ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.