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131,610

131,610 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.).

131,610 (one hundred thirty-one thousand six hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 3 × 5 × 41 × 107. Its proper divisors sum to 194,982, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2021A.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
16,131
Recamán's sequence
a(229,152) = 131,610
Square (n²)
17,321,192,100
Cube (n³)
2,279,642,092,281,000
Divisor count
32
σ(n) — sum of divisors
326,592
φ(n) — Euler's totient
33,920
Sum of prime factors
158

Primality

Prime factorization: 2 × 3 × 5 × 41 × 107

Nearest primes: 131,591 (−19) · 131,611 (+1)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 5 · 6 · 10 · 15 · 30 · 41 · 82 · 107 · 123 · 205 · 214 · 246 · 321 · 410 · 535 · 615 · 642 · 1070 · 1230 · 1605 · 3210 · 4387 · 8774 · 13161 · 21935 · 26322 · 43870 · 65805 (half) · 131610
Aliquot sum (sum of proper divisors): 194,982
Factor pairs (a × b = 131,610)
1 × 131610
2 × 65805
3 × 43870
5 × 26322
6 × 21935
10 × 13161
15 × 8774
30 × 4387
41 × 3210
82 × 1605
107 × 1230
123 × 1070
205 × 642
214 × 615
246 × 535
321 × 410
First multiples
131,610 · 263,220 (double) · 394,830 · 526,440 · 658,050 · 789,660 · 921,270 · 1,052,880 · 1,184,490 · 1,316,100

Sums & aliquot sequence

As consecutive integers: 43,869 + 43,870 + 43,871 32,901 + 32,902 + 32,903 + 32,904 26,320 + 26,321 + 26,322 + 26,323 + 26,324 10,962 + 10,963 + … + 10,973
Aliquot sequence: 131,610 194,982 194,994 260,046 303,426 376,836 531,708 731,652 1,065,948 1,612,980 3,628,620 7,968,420 16,203,000 39,058,440 78,117,240 161,700,360 343,912,440 — unresolved within range

Continued fraction of √n

√131,610 = [362; (1, 3, 1, 1, 3, 2, 1, 2, 1, 2, 3, 1, 1, 3, 1, 724)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred ten
Ordinal
131610th
Binary
100000001000011010
Octal
401032
Hexadecimal
0x2021A
Base64
AgIa
One's complement
4,294,835,685 (32-bit)
Scientific notation
1.3161 × 10⁵
As a duration
131,610 s = 1 day, 12 hours, 33 minutes, 30 seconds
In other bases
ternary (3) 20200112110
quaternary (4) 200020122
quinary (5) 13202420
senary (6) 2453150
septenary (7) 1055463
nonary (9) 220473
undecimal (11) 8a976
duodecimal (12) 641b6
tridecimal (13) 47b9b
tetradecimal (14) 35d6a
pentadecimal (15) 28ee0

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρλαχιʹ
Mayan (base 20)
𝋰·𝋩·𝋠·𝋪
Chinese
一十三萬一千六百一十
Chinese (financial)
壹拾參萬壹仟陸佰壹拾
In other modern scripts
Eastern Arabic ١٣١٦١٠ Devanagari १३१६१० Bengali ১৩১৬১০ Tamil ௧௩௧௬௧௦ Thai ๑๓๑๖๑๐ Tibetan ༡༣༡༦༡༠ Khmer ១៣១៦១០ Lao ໑໓໑໖໑໐ Burmese ၁၃၁၆၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131610, here are decompositions:

  • 19 + 131591 = 131610
  • 29 + 131581 = 131610
  • 67 + 131543 = 131610
  • 103 + 131507 = 131610
  • 109 + 131501 = 131610
  • 113 + 131497 = 131610
  • 131 + 131479 = 131610
  • 163 + 131447 = 131610

Showing the first eight; more decompositions exist.

Unicode codepoint
𠈚
CJK Unified Ideograph-2021A
U+2021A
Other letter (Lo)

UTF-8 encoding: F0 A0 88 9A (4 bytes).

Hex color
#02021A
RGB(2, 2, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.26.

Address
0.2.2.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.26

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 131,610 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

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