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131,431

131,431 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.).

131,431 (one hundred thirty-one thousand four hundred thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20167.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
13
Digit product
36
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
134,131
Recamán's sequence
a(229,510) = 131,431
Square (n²)
17,274,107,761
Cube (n³)
2,270,353,257,135,991
Divisor count
2
σ(n) — sum of divisors
131,432
φ(n) — Euler's totient
131,430

Primality

131,431 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131431
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,431)
1 × 131431
First multiples
131,431 · 262,862 (double) · 394,293 · 525,724 · 657,155 · 788,586 · 920,017 · 1,051,448 · 1,182,879 · 1,314,310

Sums & aliquot sequence

As consecutive integers: 65,715 + 65,716

Continued fraction of √n

√131,431 = [362; (1, 1, 6, 1, 4, 1, 2, 72, 6, 1, 1, 13, 7, 28, 1, 6, 4, 1, 2, 4, 2, 1, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand four hundred thirty-one
Ordinal
131431st
Binary
100000000101100111
Octal
400547
Hexadecimal
0x20167
Base64
AgFn
One's complement
4,294,835,864 (32-bit)
Scientific notation
1.31431 × 10⁵
As a duration
131,431 s = 1 day, 12 hours, 30 minutes, 31 seconds
In other bases
ternary (3) 20200021211
quaternary (4) 200011213
quinary (5) 13201211
senary (6) 2452251
septenary (7) 1055116
nonary (9) 220254
undecimal (11) 8a823
duodecimal (12) 64087
tridecimal (13) 47a91
tetradecimal (14) 35c7d
pentadecimal (15) 28e21

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαυλαʹ
Mayan (base 20)
𝋰·𝋨·𝋫·𝋫
Chinese
一十三萬一千四百三十一
Chinese (financial)
壹拾參萬壹仟肆佰參拾壹
In other modern scripts
Eastern Arabic ١٣١٤٣١ Devanagari १३१४३१ Bengali ১৩১৪৩১ Tamil ௧௩௧௪௩௧ Thai ๑๓๑๔๓๑ Tibetan ༡༣༡༤༣༡ Khmer ១៣១៤៣១ Lao ໑໓໑໔໓໑ Burmese ၁၃၁၄၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131437.

Unicode codepoint
𠅧
CJK Unified Ideograph-20167
U+20167
Other letter (Lo)

UTF-8 encoding: F0 A0 85 A7 (4 bytes).

Hex color
#020167
RGB(2, 1, 103)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.103.

Address
0.2.1.103
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.103

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 131,431 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 131431 first appears in π at position 505,460 of the decimal expansion (the 505,460ordinal-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.