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131,731

131,731 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.).

131,731 (one hundred thirty-one thousand seven 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, 0x20293.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Happy Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
63
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
137,131
Recamán's sequence
a(228,910) = 131,731
Square (n²)
17,353,056,361
Cube (n³)
2,285,935,467,490,891
Divisor count
2
σ(n) — sum of divisors
131,732
φ(n) — Euler's totient
131,730

Primality

131,731 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131731
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,731)
1 × 131731
First multiples
131,731 · 263,462 (double) · 395,193 · 526,924 · 658,655 · 790,386 · 922,117 · 1,053,848 · 1,185,579 · 1,317,310

Sums & aliquot sequence

As consecutive integers: 65,865 + 65,866

Continued fraction of √n

√131,731 = [362; (1, 18, 9, 1, 1, 1, 2, 15, 1, 3, 13, 1, 47, 2, 6, 3, 2, 5, 2, 1, 1, 1, 26, 3, …)]

Representations

In words
one hundred thirty-one thousand seven hundred thirty-one
Ordinal
131731st
Binary
100000001010010011
Octal
401223
Hexadecimal
0x20293
Base64
AgKT
One's complement
4,294,835,564 (32-bit)
Scientific notation
1.31731 × 10⁵
As a duration
131,731 s = 1 day, 12 hours, 35 minutes, 31 seconds
In other bases
ternary (3) 20200200221
quaternary (4) 200022103
quinary (5) 13203411
senary (6) 2453511
septenary (7) 1056025
nonary (9) 220627
undecimal (11) 8aa76
duodecimal (12) 64297
tridecimal (13) 47c62
tetradecimal (14) 36015
pentadecimal (15) 29071

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλαψλαʹ
Mayan (base 20)
𝋰·𝋩·𝋦·𝋫
Chinese
一十三萬一千七百三十一
Chinese (financial)
壹拾參萬壹仟柒佰參拾壹
In other modern scripts
Eastern Arabic ١٣١٧٣١ Devanagari १३१७३१ Bengali ১৩১৭৩১ Tamil ௧௩௧௭௩௧ Thai ๑๓๑๗๓๑ Tibetan ༡༣༡༧༣༡ Khmer ១៣១៧៣១ Lao ໑໓໑໗໓໑ Burmese ၁၃၁၇၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠊓
CJK Unified Ideograph-20293
U+20293
Other letter (Lo)

UTF-8 encoding: F0 A0 8A 93 (4 bytes).

Hex color
#020293
RGB(2, 2, 147)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.147.

Address
0.2.2.147
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.147

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 131,731 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

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.