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131,916

131,916 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.).

131,916 (one hundred thirty-one thousand nine hundred sixteen) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 10,993. Its proper divisors sum to 175,916, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2034C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
162
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
619,131
Recamán's sequence
a(228,540) = 131,916
Square (n²)
17,401,831,056
Cube (n³)
2,295,579,945,583,296
Divisor count
12
σ(n) — sum of divisors
307,832
φ(n) — Euler's totient
43,968
Sum of prime factors
11,000

Primality

Prime factorization: 2 2 × 3 × 10993

Nearest primes: 131,909 (−7) · 131,927 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 10993 · 21986 · 32979 · 43972 · 65958 (half) · 131916
Aliquot sum (sum of proper divisors): 175,916
Factor pairs (a × b = 131,916)
1 × 131916
2 × 65958
3 × 43972
4 × 32979
6 × 21986
12 × 10993
First multiples
131,916 · 263,832 (double) · 395,748 · 527,664 · 659,580 · 791,496 · 923,412 · 1,055,328 · 1,187,244 · 1,319,160

Sums & aliquot sequence

As consecutive integers: 43,971 + 43,972 + 43,973 16,486 + 16,487 + … + 16,493 5,485 + 5,486 + … + 5,508
Aliquot sequence: 131,916 175,916 176,884 132,670 106,154 53,080 66,440 97,720 154,280 277,720 363,800 540,160 761,096 869,944 805,856 780,736 910,904 — unresolved within range

Continued fraction of √n

√131,916 = [363; (4, 1, 15, 1, 2, 2, 3, 1, 1, 5, 2, 3, 1, 1, 1, 4, 1, 1, 20, 4, 1, 6, 8, 1, …)]

Representations

In words
one hundred thirty-one thousand nine hundred sixteen
Ordinal
131916th
Binary
100000001101001100
Octal
401514
Hexadecimal
0x2034C
Base64
AgNM
One's complement
4,294,835,379 (32-bit)
Scientific notation
1.31916 × 10⁵
As a duration
131,916 s = 1 day, 12 hours, 38 minutes, 36 seconds
In other bases
ternary (3) 20200221210
quaternary (4) 200031030
quinary (5) 13210131
senary (6) 2454420
septenary (7) 1056411
nonary (9) 220853
undecimal (11) 90124
duodecimal (12) 64410
tridecimal (13) 48075
tetradecimal (14) 36108
pentadecimal (15) 29146

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡιϛʹ
Mayan (base 20)
𝋰·𝋩·𝋯·𝋰
Chinese
一十三萬一千九百一十六
Chinese (financial)
壹拾參萬壹仟玖佰壹拾陸
In other modern scripts
Eastern Arabic ١٣١٩١٦ Devanagari १३१९१६ Bengali ১৩১৯১৬ Tamil ௧௩௧௯௧௬ Thai ๑๓๑๙๑๖ Tibetan ༡༣༡༩༡༦ Khmer ១៣១៩១៦ Lao ໑໓໑໙໑໖ Burmese ၁၃၁၉၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131916, here are decompositions:

  • 7 + 131909 = 131916
  • 17 + 131899 = 131916
  • 23 + 131893 = 131916
  • 67 + 131849 = 131916
  • 79 + 131837 = 131916
  • 137 + 131779 = 131916
  • 139 + 131777 = 131916
  • 157 + 131759 = 131916

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍌
CJK Unified Ideograph-2034C
U+2034C
Other letter (Lo)

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

Hex color
#02034C
RGB(2, 3, 76)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.76.

Address
0.2.3.76
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.76

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 131,916 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 131916 first appears in π at position 740,990 of the decimal expansion (the 740,990ordinal-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°.