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131,776

131,776 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.).

131,776 (one hundred thirty-one thousand seven hundred seventy-six) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 29 × 71. Its proper divisors sum to 142,544, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x202C0.

Abundant Number Evil Number Gapful Number Practical Number Recamán's Sequence Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
882
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
677,131
Recamán's sequence
a(228,820) = 131,776
Square (n²)
17,364,914,176
Cube (n³)
2,288,278,930,456,576
Divisor count
28
σ(n) — sum of divisors
274,320
φ(n) — Euler's totient
62,720
Sum of prime factors
112

Primality

Prime factorization: 2 6 × 29 × 71

Nearest primes: 131,771 (−5) · 131,777 (+1)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 29 · 32 · 58 · 64 · 71 · 116 · 142 · 232 · 284 · 464 · 568 · 928 · 1136 · 1856 · 2059 · 2272 · 4118 · 4544 · 8236 · 16472 · 32944 · 65888 (half) · 131776
Aliquot sum (sum of proper divisors): 142,544
Factor pairs (a × b = 131,776)
1 × 131776
2 × 65888
4 × 32944
8 × 16472
16 × 8236
29 × 4544
32 × 4118
58 × 2272
64 × 2059
71 × 1856
116 × 1136
142 × 928
232 × 568
284 × 464
First multiples
131,776 · 263,552 (double) · 395,328 · 527,104 · 658,880 · 790,656 · 922,432 · 1,054,208 · 1,185,984 · 1,317,760

Sums & aliquot sequence

As consecutive integers: 4,530 + 4,531 + … + 4,558 1,821 + 1,822 + … + 1,891 966 + 967 + … + 1,093
Aliquot sequence: 131,776 142,544 140,176 131,446 100,394 75,862 39,554 19,780 24,572 18,436 16,844 12,640 17,600 29,644 22,240 30,680 44,920 — unresolved within range

Continued fraction of √n

√131,776 = [363; (103, 1, 2, 1, 1, 14, 4, 12, 2, 28, 1, 1, 3, 1, 1, 1, 3, 1, 1, 28, 2, 12, 4, 14, …)]

Period length 30 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand seven hundred seventy-six
Ordinal
131776th
Binary
100000001011000000
Octal
401300
Hexadecimal
0x202C0
Base64
AgLA
One's complement
4,294,835,519 (32-bit)
Scientific notation
1.31776 × 10⁵
As a duration
131,776 s = 1 day, 12 hours, 36 minutes, 16 seconds
In other bases
ternary (3) 20200202121
quaternary (4) 200023000
quinary (5) 13204101
senary (6) 2454024
septenary (7) 1056121
nonary (9) 220677
undecimal (11) 90007
duodecimal (12) 64314
tridecimal (13) 47c98
tetradecimal (14) 36048
pentadecimal (15) 290a1

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψοϛʹ
Mayan (base 20)
𝋰·𝋩·𝋨·𝋰
Chinese
一十三萬一千七百七十六
Chinese (financial)
壹拾參萬壹仟柒佰柒拾陸
In other modern scripts
Eastern Arabic ١٣١٧٧٦ Devanagari १३१७७६ Bengali ১৩১৭৭৬ Tamil ௧௩௧௭௭௬ Thai ๑๓๑๗๗๖ Tibetan ༡༣༡༧༧༦ Khmer ១៣១៧៧៦ Lao ໑໓໑໗໗໖ Burmese ၁၃၁၇၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131776, here are decompositions:

  • 5 + 131771 = 131776
  • 17 + 131759 = 131776
  • 89 + 131687 = 131776
  • 137 + 131639 = 131776
  • 149 + 131627 = 131776
  • 233 + 131543 = 131776
  • 257 + 131519 = 131776
  • 269 + 131507 = 131776

Showing the first eight; more decompositions exist.

Unicode codepoint
𠋀
CJK Unified Ideograph-202C0
U+202C0
Other letter (Lo)

UTF-8 encoding: F0 A0 8B 80 (4 bytes).

Hex color
#0202C0
RGB(2, 2, 192)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.192.

Address
0.2.2.192
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.192

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 131,776 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 131776 first appears in π at position 926,958 of the decimal expansion (the 926,958ordinal-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