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131,337

131,337 is a composite number, 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.).

131,337 (one hundred thirty-one thousand three hundred thirty-seven) is an odd 6-digit number. It is a composite number with 6 divisors, and factors as 3² × 14,593. Written other ways, in hexadecimal, 0x20109.

Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
18
Digit product
189
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
733,131
Square (n²)
17,249,407,569
Cube (n³)
2,265,485,441,889,753
Divisor count
6
σ(n) — sum of divisors
189,722
φ(n) — Euler's totient
87,552
Sum of prime factors
14,599

Primality

Prime factorization: 3 2 × 14593

Nearest primes: 131,321 (−16) · 131,357 (+20)

Divisors & multiples

All divisors (6)
1 · 3 · 9 · 14593 · 43779 · 131337
Aliquot sum (sum of proper divisors): 58,385
Factor pairs (a × b = 131,337)
1 × 131337
3 × 43779
9 × 14593
First multiples
131,337 · 262,674 (double) · 394,011 · 525,348 · 656,685 · 788,022 · 919,359 · 1,050,696 · 1,182,033 · 1,313,370

Sums & aliquot sequence

As a sum of two squares: 216² + 291²
As consecutive integers: 65,668 + 65,669 43,778 + 43,779 + 43,780 21,887 + 21,888 + 21,889 + 21,890 + 21,891 + 21,892 14,589 + 14,590 + … + 14,597
Aliquot sequence: 131,337 58,385 11,683 1,677 787 1 0 — terminates at zero

Continued fraction of √n

√131,337 = [362; (2, 2, 8, 1, 1, 4, 1, 2, 5, 3, 4, 37, 1, 10, 1, 9, 1, 9, 6, 3, 5, 4, 1, 1, …)]

Representations

In words
one hundred thirty-one thousand three hundred thirty-seven
Ordinal
131337th
Binary
100000000100001001
Octal
400411
Hexadecimal
0x20109
Base64
AgEJ
One's complement
4,294,835,958 (32-bit)
Scientific notation
1.31337 × 10⁵
As a duration
131,337 s = 1 day, 12 hours, 28 minutes, 57 seconds
In other bases
ternary (3) 20200011100
quaternary (4) 200010021
quinary (5) 13200322
senary (6) 2452013
septenary (7) 1054623
nonary (9) 220140
undecimal (11) 8a748
duodecimal (12) 64009
tridecimal (13) 47a1b
tetradecimal (14) 35c13
pentadecimal (15) 28dac

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατλζʹ
Mayan (base 20)
𝋰·𝋨·𝋦·𝋱
Chinese
一十三萬一千三百三十七
Chinese (financial)
壹拾參萬壹仟參佰參拾柒
In other modern scripts
Eastern Arabic ١٣١٣٣٧ Devanagari १३१३३७ Bengali ১৩১৩৩৭ Tamil ௧௩௧௩௩௭ Thai ๑๓๑๓๓๗ Tibetan ༡༣༡༣༣༧ Khmer ១៣១៣៣៧ Lao ໑໓໑໓໓໗ Burmese ၁၃၁၃၃၇

Also seen as

Unicode codepoint
𠄉
CJK Unified Ideograph-20109
U+20109
Other letter (Lo)

UTF-8 encoding: F0 A0 84 89 (4 bytes).

Hex color
#020109
RGB(2, 1, 9)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.9.

Address
0.2.1.9
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.9

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 131,337 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 131337 first appears in π at position 510,432 of the decimal expansion (the 510,432ordinal-suffix:nd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.