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131,730

131,730 is a composite number, even.

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.).

131,730 (one hundred thirty-one thousand seven hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 3 × 5 × 4,391. Its proper divisors sum to 184,494, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20292.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
37,131
Recamán's sequence
a(228,912) = 131,730
Square (n²)
17,352,792,900
Cube (n³)
2,285,883,408,717,000
Divisor count
16
σ(n) — sum of divisors
316,224
φ(n) — Euler's totient
35,120
Sum of prime factors
4,401

Primality

Prime factorization: 2 × 3 × 5 × 4391

Nearest primes: 131,713 (−17) · 131,731 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 4391 · 8782 · 13173 · 21955 · 26346 · 43910 · 65865 (half) · 131730
Aliquot sum (sum of proper divisors): 184,494
Factor pairs (a × b = 131,730)
1 × 131730
2 × 65865
3 × 43910
5 × 26346
6 × 21955
10 × 13173
15 × 8782
30 × 4391
First multiples
131,730 · 263,460 (double) · 395,190 · 526,920 · 658,650 · 790,380 · 922,110 · 1,053,840 · 1,185,570 · 1,317,300

Sums & aliquot sequence

As consecutive integers: 43,909 + 43,910 + 43,911 32,931 + 32,932 + 32,933 + 32,934 26,344 + 26,345 + 26,346 + 26,347 + 26,348 10,972 + 10,973 + … + 10,983
Aliquot sequence: 131,730 184,494 189,474 206,238 217,842 217,854 404,586 737,334 1,071,018 1,549,782 2,184,858 2,913,690 4,892,262 4,916,298 5,595,126 5,595,138 6,608,430 — unresolved within range

Continued fraction of √n

√131,730 = [362; (1, 17, 1, 1, 1, 1, 2, 3, 1, 10, 4, 2, 2, 2, 7, 1, 2, 1, 6, 5, 1, 5, 1, 2, …)]

Representations

In words
one hundred thirty-one thousand seven hundred thirty
Ordinal
131730th
Binary
100000001010010010
Octal
401222
Hexadecimal
0x20292
Base64
AgKS
One's complement
4,294,835,565 (32-bit)
Scientific notation
1.3173 × 10⁵
As a duration
131,730 s = 1 day, 12 hours, 35 minutes, 30 seconds
In other bases
ternary (3) 20200200220
quaternary (4) 200022102
quinary (5) 13203410
senary (6) 2453510
septenary (7) 1056024
nonary (9) 220626
undecimal (11) 8aa75
duodecimal (12) 64296
tridecimal (13) 47c61
tetradecimal (14) 36014
pentadecimal (15) 29070

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλαψλʹ
Mayan (base 20)
𝋰·𝋩·𝋦·𝋪
Chinese
一十三萬一千七百三十
Chinese (financial)
壹拾參萬壹仟柒佰參拾
In other modern scripts
Eastern Arabic ١٣١٧٣٠ Devanagari १३१७३० Bengali ১৩১৭৩০ Tamil ௧௩௧௭௩௦ Thai ๑๓๑๗๓๐ Tibetan ༡༣༡༧༣༠ Khmer ១៣១៧៣០ Lao ໑໓໑໗໓໐ Burmese ၁၃၁၇၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131730, here are decompositions:

  • 17 + 131713 = 131730
  • 19 + 131711 = 131730
  • 23 + 131707 = 131730
  • 29 + 131701 = 131730
  • 43 + 131687 = 131730
  • 59 + 131671 = 131730
  • 89 + 131641 = 131730
  • 103 + 131627 = 131730

Showing the first eight; more decompositions exist.

Unicode codepoint
𠊒
CJK Unified Ideograph-20292
U+20292
Other letter (Lo)

UTF-8 encoding: F0 A0 8A 92 (4 bytes).

Hex color
#020292
RGB(2, 2, 146)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.146.

Address
0.2.2.146
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.146

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 131,730 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 131730 first appears in π at position 798,060 of the decimal expansion (the 798,060ordinal-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

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