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131,617

131,617 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.).

131,617 (one hundred thirty-one thousand six hundred seventeen) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20221.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
126
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
716,131
Recamán's sequence
a(229,138) = 131,617
Square (n²)
17,323,034,689
Cube (n³)
2,280,005,856,662,113
Divisor count
2
σ(n) — sum of divisors
131,618
φ(n) — Euler's totient
131,616

Primality

131,617 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131617
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,617)
1 × 131617
First multiples
131,617 · 263,234 (double) · 394,851 · 526,468 · 658,085 · 789,702 · 921,319 · 1,052,936 · 1,184,553 · 1,316,170

Sums & aliquot sequence

As a sum of two squares: 36² + 361²
As consecutive integers: 65,808 + 65,809

Continued fraction of √n

√131,617 = [362; (1, 3, 1, 3, 2, 3, 1, 9, 3, 3, 3, 2, 10, 1, 9, 3, 3, 1, 6, 1, 3, 1, 3, 241, …)]

Representations

In words
one hundred thirty-one thousand six hundred seventeen
Ordinal
131617th
Binary
100000001000100001
Octal
401041
Hexadecimal
0x20221
Base64
AgIh
One's complement
4,294,835,678 (32-bit)
Scientific notation
1.31617 × 10⁵
As a duration
131,617 s = 1 day, 12 hours, 33 minutes, 37 seconds
In other bases
ternary (3) 20200112201
quaternary (4) 200020201
quinary (5) 13202432
senary (6) 2453201
septenary (7) 1055503
nonary (9) 220481
undecimal (11) 8a982
duodecimal (12) 64201
tridecimal (13) 47ba5
tetradecimal (14) 35d73
pentadecimal (15) 28ee7

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαχιζʹ
Mayan (base 20)
𝋰·𝋩·𝋠·𝋱
Chinese
一十三萬一千六百一十七
Chinese (financial)
壹拾參萬壹仟陸佰壹拾柒
In other modern scripts
Eastern Arabic ١٣١٦١٧ Devanagari १३१६१७ Bengali ১৩১৬১৭ Tamil ௧௩௧௬௧௭ Thai ๑๓๑๖๑๗ Tibetan ༡༣༡༦༡༧ Khmer ១៣១៦១៧ Lao ໑໓໑໖໑໗ Burmese ၁၃၁၆၁၇

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 131611.

Unicode codepoint
𠈡
CJK Unified Ideograph-20221
U+20221
Other letter (Lo)

UTF-8 encoding: F0 A0 88 A1 (4 bytes).

Hex color
#020221
RGB(2, 2, 33)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.33.

Address
0.2.2.33
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.33

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 131,617 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.