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131,317

131,317 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.).

131,317 (one hundred thirty-one thousand three hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x200F5.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Happy Number Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Self Number Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
16
Digit product
63
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
713,131
Recamán's sequence
a(24,389) = 131,317
Square (n²)
17,244,154,489
Cube (n³)
2,264,450,635,032,013
Divisor count
2
σ(n) — sum of divisors
131,318
φ(n) — Euler's totient
131,316

Primality

131,317 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131317
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,317)
1 × 131317
First multiples
131,317 · 262,634 (double) · 393,951 · 525,268 · 656,585 · 787,902 · 919,219 · 1,050,536 · 1,181,853 · 1,313,170

Sums & aliquot sequence

As a sum of two squares: 186² + 311²
As consecutive integers: 65,658 + 65,659

Continued fraction of √n

√131,317 = [362; (2, 1, 1, 1, 7, 1, 2, 2, 1, 1, 8, 24, 1, 7, 241, 2, 5, 1, 1, 2, 4, 3, 1, 25, …)]

Representations

In words
one hundred thirty-one thousand three hundred seventeen
Ordinal
131317th
Binary
100000000011110101
Octal
400365
Hexadecimal
0x200F5
Base64
AgD1
One's complement
4,294,835,978 (32-bit)
Scientific notation
1.31317 × 10⁵
As a duration
131,317 s = 1 day, 12 hours, 28 minutes, 37 seconds
In other bases
ternary (3) 20200010121
quaternary (4) 200003311
quinary (5) 13200232
senary (6) 2451541
septenary (7) 1054564
nonary (9) 220117
undecimal (11) 8a72a
duodecimal (12) 63bb1
tridecimal (13) 47a04
tetradecimal (14) 35bdb
pentadecimal (15) 28d97

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατιζʹ
Mayan (base 20)
𝋰·𝋨·𝋥·𝋱
Chinese
一十三萬一千三百一十七
Chinese (financial)
壹拾參萬壹仟參佰壹拾柒
In other modern scripts
Eastern Arabic ١٣١٣١٧ Devanagari १३१३१७ Bengali ১৩১৩১৭ Tamil ௧௩௧௩௧௭ Thai ๑๓๑๓๑๗ Tibetan ༡༣༡༣༡༧ Khmer ១៣១៣១៧ Lao ໑໓໑໓໑໗ Burmese ၁၃၁၃၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 131321, sexy with 131311.

Unicode codepoint
𠃵
CJK Unified Ideograph-200F5
U+200F5
Other letter (Lo)

UTF-8 encoding: F0 A0 83 B5 (4 bytes).

Hex color
#0200F5
RGB(2, 0, 245)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.0.245.

Address
0.2.0.245
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.0.245

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 131,317 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 131317 first appears in π at position 290,244 of the decimal expansion (the 290,244ordinal-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.