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131,849

131,849 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.).

131,849 (one hundred thirty-one thousand eight hundred forty-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x20309.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
26
Digit product
864
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
948,131
Recamán's sequence
a(228,674) = 131,849
Square (n²)
17,384,158,801
Cube (n³)
2,292,083,953,753,049
Divisor count
2
σ(n) — sum of divisors
131,850
φ(n) — Euler's totient
131,848

Primality

131,849 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 131849
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 131,849)
1 × 131849
First multiples
131,849 · 263,698 (double) · 395,547 · 527,396 · 659,245 · 791,094 · 922,943 · 1,054,792 · 1,186,641 · 1,318,490

Sums & aliquot sequence

As a sum of two squares: 245² + 268²
As consecutive integers: 65,924 + 65,925

Continued fraction of √n

√131,849 = [363; (9, 13, 10, 1, 3, 4, 1, 1, 1, 1, 1, 1, 1, 2, 45, 145, 4, 1, 1, 65, 2, 6, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand eight hundred forty-nine
Ordinal
131849th
Binary
100000001100001001
Octal
401411
Hexadecimal
0x20309
Base64
AgMJ
One's complement
4,294,835,446 (32-bit)
Scientific notation
1.31849 × 10⁵
As a duration
131,849 s = 1 day, 12 hours, 37 minutes, 29 seconds
In other bases
ternary (3) 20200212022
quaternary (4) 200030021
quinary (5) 13204344
senary (6) 2454225
septenary (7) 1056254
nonary (9) 220768
undecimal (11) 90073
duodecimal (12) 64375
tridecimal (13) 48023
tetradecimal (14) 3609b
pentadecimal (15) 290ee

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαωμθʹ
Mayan (base 20)
𝋰·𝋩·𝋬·𝋩
Chinese
一十三萬一千八百四十九
Chinese (financial)
壹拾參萬壹仟捌佰肆拾玖
In other modern scripts
Eastern Arabic ١٣١٨٤٩ Devanagari १३१८४९ Bengali ১৩১৮৪৯ Tamil ௧௩௧௮௪௯ Thai ๑๓๑๘๔๙ Tibetan ༡༣༡༨༤༩ Khmer ១៣១៨៤៩ Lao ໑໓໑໘໔໙ Burmese ၁၃၁၈၄၉

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𠌉
CJK Unified Ideograph-20309
U+20309
Other letter (Lo)

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

Hex color
#020309
RGB(2, 3, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.9.

Address
0.2.3.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.9

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 131,849 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 131849 first appears in π at position 687,448 of the decimal expansion (the 687,448ordinal-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.