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131,759

131,759 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.).

131,759 (one hundred thirty-one thousand seven hundred fifty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x202AF.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
945
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
957,131
Recamán's sequence
a(228,854) = 131,759
Square (n²)
17,360,434,081
Cube (n³)
2,287,393,434,078,479
Divisor count
2
σ(n) — sum of divisors
131,760
φ(n) — Euler's totient
131,758

Primality

131,759 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131759
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,759)
1 × 131759
First multiples
131,759 · 263,518 (double) · 395,277 · 527,036 · 658,795 · 790,554 · 922,313 · 1,054,072 · 1,185,831 · 1,317,590

Sums & aliquot sequence

As consecutive integers: 65,879 + 65,880

Continued fraction of √n

√131,759 = [362; (1, 71, 1, 1, 2, 28, 1, 1, 1, 3, 2, 2, 2, 6, 2, 3, 3, 1, 1, 2, 5, 1, 3, 4, …)]

Representations

In words
one hundred thirty-one thousand seven hundred fifty-nine
Ordinal
131759th
Binary
100000001010101111
Octal
401257
Hexadecimal
0x202AF
Base64
AgKv
One's complement
4,294,835,536 (32-bit)
Scientific notation
1.31759 × 10⁵
As a duration
131,759 s = 1 day, 12 hours, 35 minutes, 59 seconds
In other bases
ternary (3) 20200201222
quaternary (4) 200022233
quinary (5) 13204014
senary (6) 2453555
septenary (7) 1056065
nonary (9) 220658
undecimal (11) 8aaa1
duodecimal (12) 642bb
tridecimal (13) 47c84
tetradecimal (14) 36035
pentadecimal (15) 2908e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψνθʹ
Mayan (base 20)
𝋰·𝋩·𝋧·𝋳
Chinese
一十三萬一千七百五十九
Chinese (financial)
壹拾參萬壹仟柒佰伍拾玖
In other modern scripts
Eastern Arabic ١٣١٧٥٩ Devanagari १३१७५९ Bengali ১৩১৭৫৯ Tamil ௧௩௧௭௫௯ Thai ๑๓๑๗๕๙ Tibetan ༡༣༡༧༥༩ Khmer ១៣១៧៥៩ Lao ໑໓໑໗໕໙ Burmese ၁၃၁၇၅၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠊯
CJK Unified Ideograph-202Af
U+202AF
Other letter (Lo)

UTF-8 encoding: F0 A0 8A AF (4 bytes).

Hex color
#0202AF
RGB(2, 2, 175)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.175.

Address
0.2.2.175
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.175

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 131,759 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 131759 first appears in π at position 189,826 of the decimal expansion (the 189,826ordinal-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.