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131,639

131,639 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.).

131,639 (one hundred thirty-one thousand six hundred thirty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20237.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
486
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
936,131
Recamán's sequence
a(229,094) = 131,639
Square (n²)
17,328,826,321
Cube (n³)
2,281,149,368,070,119
Divisor count
2
σ(n) — sum of divisors
131,640
φ(n) — Euler's totient
131,638

Primality

131,639 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131639
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,639)
1 × 131639
First multiples
131,639 · 263,278 (double) · 394,917 · 526,556 · 658,195 · 789,834 · 921,473 · 1,053,112 · 1,184,751 · 1,316,390

Sums & aliquot sequence

As consecutive integers: 65,819 + 65,820

Continued fraction of √n

√131,639 = [362; (1, 4, 1, 1, 2, 1, 1, 71, 1, 54, 1, 4, 1, 28, 5, 5, 2, 1, 1, 1, 1, 3, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand six hundred thirty-nine
Ordinal
131639th
Binary
100000001000110111
Octal
401067
Hexadecimal
0x20237
Base64
AgI3
One's complement
4,294,835,656 (32-bit)
Scientific notation
1.31639 × 10⁵
As a duration
131,639 s = 1 day, 12 hours, 33 minutes, 59 seconds
In other bases
ternary (3) 20200120112
quaternary (4) 200020313
quinary (5) 13203024
senary (6) 2453235
septenary (7) 1055534
nonary (9) 220515
undecimal (11) 8a9a2
duodecimal (12) 6421b
tridecimal (13) 47bc1
tetradecimal (14) 35d8b
pentadecimal (15) 2900e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαχλθʹ
Mayan (base 20)
𝋰·𝋩·𝋡·𝋳
Chinese
一十三萬一千六百三十九
Chinese (financial)
壹拾參萬壹仟陸佰參拾玖
In other modern scripts
Eastern Arabic ١٣١٦٣٩ Devanagari १३१६३९ Bengali ১৩১৬৩৯ Tamil ௧௩௧௬௩௯ Thai ๑๓๑๖๓๙ Tibetan ༡༣༡༦༣༩ Khmer ១៣១៦៣៩ Lao ໑໓໑໖໓໙ Burmese ၁၃၁၆၃၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 131641.

Unicode codepoint
𠈷
CJK Unified Ideograph-20237
U+20237
Other letter (Lo)

UTF-8 encoding: F0 A0 88 B7 (4 bytes).

Hex color
#020237
RGB(2, 2, 55)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.55.

Address
0.2.2.55
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.55

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 131,639 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 131639 first appears in π at position 215,974 of the decimal expansion (the 215,974ordinal-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.