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131,707

131,707 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.).

131,707 (one hundred thirty-one thousand seven hundred seven) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2027B.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
707,131
Recamán's sequence
a(228,958) = 131,707
Square (n²)
17,346,733,849
Cube (n³)
2,284,686,275,050,243
Divisor count
2
σ(n) — sum of divisors
131,708
φ(n) — Euler's totient
131,706

Primality

131,707 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131707
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,707)
1 × 131707
First multiples
131,707 · 263,414 (double) · 395,121 · 526,828 · 658,535 · 790,242 · 921,949 · 1,053,656 · 1,185,363 · 1,317,070

Sums & aliquot sequence

As consecutive integers: 65,853 + 65,854

Continued fraction of √n

√131,707 = [362; (1, 10, 1, 2, 2, 2, 1, 51, 7, 3, 4, 1, 16, 14, 1, 3, 18, 2, 1, 4, 14, 55, 1, 3, …)]

Representations

In words
one hundred thirty-one thousand seven hundred seven
Ordinal
131707th
Binary
100000001001111011
Octal
401173
Hexadecimal
0x2027B
Base64
AgJ7
One's complement
4,294,835,588 (32-bit)
Scientific notation
1.31707 × 10⁵
As a duration
131,707 s = 1 day, 12 hours, 35 minutes, 7 seconds
In other bases
ternary (3) 20200200001
quaternary (4) 200021323
quinary (5) 13203312
senary (6) 2453431
septenary (7) 1055662
nonary (9) 220601
undecimal (11) 8aa54
duodecimal (12) 64277
tridecimal (13) 47c44
tetradecimal (14) 35dd9
pentadecimal (15) 29057

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψζʹ
Mayan (base 20)
𝋰·𝋩·𝋥·𝋧
Chinese
一十三萬一千七百零七
Chinese (financial)
壹拾參萬壹仟柒佰零柒
In other modern scripts
Eastern Arabic ١٣١٧٠٧ Devanagari १३१७०७ Bengali ১৩১৭০৭ Tamil ௧௩௧௭௦௭ Thai ๑๓๑๗๐๗ Tibetan ༡༣༡༧༠༧ Khmer ១៣១៧០៧ Lao ໑໓໑໗໐໗ Burmese ၁၃၁၇၀၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 131711, sexy with 131701.

Unicode codepoint
𠉻
CJK Unified Ideograph-2027B
U+2027B
Other letter (Lo)

UTF-8 encoding: F0 A0 89 BB (4 bytes).

Hex color
#02027B
RGB(2, 2, 123)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.123.

Address
0.2.2.123
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.123

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 131,707 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 131707 first appears in π at position 764,339 of the decimal expansion (the 764,339ordinal-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.