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131,716

131,716 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.).

131,716 (one hundred thirty-one thousand seven hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 17 × 149. Its proper divisors sum to 132,884, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20284.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
126
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
617,131
Recamán's sequence
a(228,940) = 131,716
Square (n²)
17,349,104,656
Cube (n³)
2,285,154,668,869,696
Divisor count
24
σ(n) — sum of divisors
264,600
φ(n) — Euler's totient
56,832
Sum of prime factors
183

Primality

Prime factorization: 2 2 × 13 × 17 × 149

Nearest primes: 131,713 (−3) · 131,731 (+15)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 17 · 26 · 34 · 52 · 68 · 149 · 221 · 298 · 442 · 596 · 884 · 1937 · 2533 · 3874 · 5066 · 7748 · 10132 · 32929 · 65858 (half) · 131716
Aliquot sum (sum of proper divisors): 132,884
Factor pairs (a × b = 131,716)
1 × 131716
2 × 65858
4 × 32929
13 × 10132
17 × 7748
26 × 5066
34 × 3874
52 × 2533
68 × 1937
149 × 884
221 × 596
298 × 442
First multiples
131,716 · 263,432 (double) · 395,148 · 526,864 · 658,580 · 790,296 · 922,012 · 1,053,728 · 1,185,444 · 1,317,160

Sums & aliquot sequence

As a sum of two squares: 46² + 360² = 80² + 354² = 96² + 350² = 210² + 296²
As consecutive integers: 16,461 + 16,462 + … + 16,468 10,126 + 10,127 + … + 10,138 7,740 + 7,741 + … + 7,756 1,215 + 1,216 + … + 1,318
Aliquot sequence: 131,716 132,884 102,316 76,744 70,676 53,014 32,666 16,336 15,346 7,676 6,604 5,940 14,220 29,460 53,196 97,332 129,804 — unresolved within range

Continued fraction of √n

√131,716 = [362; (1, 12, 1, 2, 3, 2, 1, 3, 4, 2, 2, 2, 1, 4, 2, 10, 1, 8, 20, 1, 1, 1, 2, 10, …)]

Representations

In words
one hundred thirty-one thousand seven hundred sixteen
Ordinal
131716th
Binary
100000001010000100
Octal
401204
Hexadecimal
0x20284
Base64
AgKE
One's complement
4,294,835,579 (32-bit)
Scientific notation
1.31716 × 10⁵
As a duration
131,716 s = 1 day, 12 hours, 35 minutes, 16 seconds
In other bases
ternary (3) 20200200101
quaternary (4) 200022010
quinary (5) 13203331
senary (6) 2453444
septenary (7) 1056004
nonary (9) 220611
undecimal (11) 8aa62
duodecimal (12) 64284
tridecimal (13) 47c50
tetradecimal (14) 36004
pentadecimal (15) 29061

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψιϛʹ
Mayan (base 20)
𝋰·𝋩·𝋥·𝋰
Chinese
一十三萬一千七百一十六
Chinese (financial)
壹拾參萬壹仟柒佰壹拾陸
In other modern scripts
Eastern Arabic ١٣١٧١٦ Devanagari १३१७१६ Bengali ১৩১৭১৬ Tamil ௧௩௧௭௧௬ Thai ๑๓๑๗๑๖ Tibetan ༡༣༡༧༡༦ Khmer ១៣១៧១៦ Lao ໑໓໑໗໑໖ Burmese ၁၃၁၇၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131716, here are decompositions:

  • 3 + 131713 = 131716
  • 5 + 131711 = 131716
  • 29 + 131687 = 131716
  • 89 + 131627 = 131716
  • 173 + 131543 = 131716
  • 197 + 131519 = 131716
  • 227 + 131489 = 131716
  • 239 + 131477 = 131716

Showing the first eight; more decompositions exist.

Unicode codepoint
𠊄
CJK Unified Ideograph-20284
U+20284
Other letter (Lo)

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

Hex color
#020284
RGB(2, 2, 132)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.132.

Address
0.2.2.132
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.132

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 131,716 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