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131,810

131,810 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.).

131,810 (one hundred thirty-one thousand eight hundred ten) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 5 × 7² × 269. Its proper divisors sum to 145,210, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202E2.

Abundant Number Cube-Free Evil Number Gapful Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
18,131
Recamán's sequence
a(228,752) = 131,810
Square (n²)
17,373,876,100
Cube (n³)
2,290,050,608,741,000
Divisor count
24
σ(n) — sum of divisors
277,020
φ(n) — Euler's totient
45,024
Sum of prime factors
290

Primality

Prime factorization: 2 × 5 × 7 2 × 269

Nearest primes: 131,797 (−13) · 131,837 (+27)

Divisors & multiples

All divisors (24)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 49 · 70 · 98 · 245 · 269 · 490 · 538 · 1345 · 1883 · 2690 · 3766 · 9415 · 13181 · 18830 · 26362 · 65905 (half) · 131810
Aliquot sum (sum of proper divisors): 145,210
Factor pairs (a × b = 131,810)
1 × 131810
2 × 65905
5 × 26362
7 × 18830
10 × 13181
14 × 9415
35 × 3766
49 × 2690
70 × 1883
98 × 1345
245 × 538
269 × 490
First multiples
131,810 · 263,620 (double) · 395,430 · 527,240 · 659,050 · 790,860 · 922,670 · 1,054,480 · 1,186,290 · 1,318,100

Sums & aliquot sequence

As a sum of two squares: 119² + 343² = 203² + 301²
As consecutive integers: 32,951 + 32,952 + 32,953 + 32,954 26,360 + 26,361 + 26,362 + 26,363 + 26,364 18,827 + 18,828 + … + 18,833 6,581 + 6,582 + … + 6,600
Aliquot sequence: 131,810 145,210 136,526 90,274 45,140 53,812 49,004 36,760 46,040 57,640 84,920 124,600 210,200 278,980 391,340 479,572 367,904 — unresolved within range

Continued fraction of √n

√131,810 = [363; (17, 1, 2, 2, 3, 4, 1, 1, 14, 3, 1, 3, 21, 11, 8, 14, 1, 2, 3, 1, 1, 2, 2, 8, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred ten
Ordinal
131810th
Binary
100000001011100010
Octal
401342
Hexadecimal
0x202E2
Base64
AgLi
One's complement
4,294,835,485 (32-bit)
Scientific notation
1.3181 × 10⁵
As a duration
131,810 s = 1 day, 12 hours, 36 minutes, 50 seconds
In other bases
ternary (3) 20200210212
quaternary (4) 200023202
quinary (5) 13204220
senary (6) 2454122
septenary (7) 1056200
nonary (9) 220725
undecimal (11) 90038
duodecimal (12) 64342
tridecimal (13) 47cc3
tetradecimal (14) 36070
pentadecimal (15) 290c5

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρλαωιʹ
Mayan (base 20)
𝋰·𝋩·𝋪·𝋪
Chinese
一十三萬一千八百一十
Chinese (financial)
壹拾參萬壹仟捌佰壹拾
In other modern scripts
Eastern Arabic ١٣١٨١٠ Devanagari १३१८१० Bengali ১৩১৮১০ Tamil ௧௩௧௮௧௦ Thai ๑๓๑๘๑๐ Tibetan ༡༣༡༨༡༠ Khmer ១៣១៨១០ Lao ໑໓໑໘໑໐ Burmese ၁၃၁၈၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131810, here are decompositions:

  • 13 + 131797 = 131810
  • 31 + 131779 = 131810
  • 61 + 131749 = 131810
  • 67 + 131743 = 131810
  • 79 + 131731 = 131810
  • 97 + 131713 = 131810
  • 103 + 131707 = 131810
  • 109 + 131701 = 131810

Showing the first eight; more decompositions exist.

Unicode codepoint
𠋢
CJK Unified Ideograph-202E2
U+202E2
Other letter (Lo)

UTF-8 encoding: F0 A0 8B A2 (4 bytes).

Hex color
#0202E2
RGB(2, 2, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.226.

Address
0.2.2.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.226

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 131,810 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 131810 first appears in π at position 962,149 of the decimal expansion (the 962,149ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.