number.wiki
Live analysis

131,927

131,927 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.).

131,927 (one hundred thirty-one thousand nine hundred twenty-seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20357.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
729,131
Recamán's sequence
a(228,518) = 131,927
Square (n²)
17,404,733,329
Cube (n³)
2,296,154,253,894,983
Divisor count
2
σ(n) — sum of divisors
131,928
φ(n) — Euler's totient
131,926

Primality

131,927 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131927
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,927)
1 × 131927
First multiples
131,927 · 263,854 (double) · 395,781 · 527,708 · 659,635 · 791,562 · 923,489 · 1,055,416 · 1,187,343 · 1,319,270

Sums & aliquot sequence

As consecutive integers: 65,963 + 65,964

Continued fraction of √n

√131,927 = [363; (4, 1, 1, 2, 10, 2, 4, 1, 1, 1, 1, 13, 10, 6, 3, 27, 1, 1, 1, 1, 1, 11, 1, 9, …)]

Representations

In words
one hundred thirty-one thousand nine hundred twenty-seven
Ordinal
131927th
Binary
100000001101010111
Octal
401527
Hexadecimal
0x20357
Base64
AgNX
One's complement
4,294,835,368 (32-bit)
Scientific notation
1.31927 × 10⁵
As a duration
131,927 s = 1 day, 12 hours, 38 minutes, 47 seconds
In other bases
ternary (3) 20200222012
quaternary (4) 200031113
quinary (5) 13210202
senary (6) 2454435
septenary (7) 1056425
nonary (9) 220865
undecimal (11) 90134
duodecimal (12) 6441b
tridecimal (13) 48083
tetradecimal (14) 36115
pentadecimal (15) 29152

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡκζʹ
Mayan (base 20)
𝋰·𝋩·𝋰·𝋧
Chinese
一十三萬一千九百二十七
Chinese (financial)
壹拾參萬壹仟玖佰貳拾柒
In other modern scripts
Eastern Arabic ١٣١٩٢٧ Devanagari १३१९२७ Bengali ১৩১৯২৭ Tamil ௧௩௧௯௨௭ Thai ๑๓๑๙๒๗ Tibetan ༡༣༡༩༢༧ Khmer ១៣១៩២៧ Lao ໑໓໑໙໒໗ Burmese ၁၃၁၉၂၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131933.

Unicode codepoint
𠍗
CJK Unified Ideograph-20357
U+20357
Other letter (Lo)

UTF-8 encoding: F0 A0 8D 97 (4 bytes).

Hex color
#020357
RGB(2, 3, 87)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.87.

Address
0.2.3.87
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.87

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 131,927 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 131927 first appears in π at position 802,232 of the decimal expansion (the 802,232ordinal-suffix:nd 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.