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131,788

131,788 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.).

131,788 (one hundred thirty-one thousand seven hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 47 × 701. Written other ways, in hexadecimal, 0x202CC.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
1,344
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
887,131
Recamán's sequence
a(228,796) = 131,788
Square (n²)
17,368,076,944
Cube (n³)
2,288,904,124,295,872
Divisor count
12
σ(n) — sum of divisors
235,872
φ(n) — Euler's totient
64,400
Sum of prime factors
752

Primality

Prime factorization: 2 2 × 47 × 701

Nearest primes: 131,783 (−5) · 131,797 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 47 · 94 · 188 · 701 · 1402 · 2804 · 32947 · 65894 (half) · 131788
Aliquot sum (sum of proper divisors): 104,084
Factor pairs (a × b = 131,788)
1 × 131788
2 × 65894
4 × 32947
47 × 2804
94 × 1402
188 × 701
First multiples
131,788 · 263,576 (double) · 395,364 · 527,152 · 658,940 · 790,728 · 922,516 · 1,054,304 · 1,186,092 · 1,317,880

Sums & aliquot sequence

As consecutive integers: 16,470 + 16,471 + … + 16,477 2,781 + 2,782 + … + 2,827 163 + 164 + … + 538
Aliquot sequence: 131,788 104,084 78,070 66,938 33,472 33,076 24,814 14,426 7,216 8,408 7,372 6,348 9,136 8,596 8,652 14,644 14,700 — unresolved within range

Continued fraction of √n

√131,788 = [363; (38, 4, 1, 2, 1, 1, 3, 1, 1, 1, 4, 1, 1, 2, 1, 1, 16, 3, 3, 3, 9, 3, 1, 180, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand seven hundred eighty-eight
Ordinal
131788th
Binary
100000001011001100
Octal
401314
Hexadecimal
0x202CC
Base64
AgLM
One's complement
4,294,835,507 (32-bit)
Scientific notation
1.31788 × 10⁵
As a duration
131,788 s = 1 day, 12 hours, 36 minutes, 28 seconds
In other bases
ternary (3) 20200210001
quaternary (4) 200023030
quinary (5) 13204123
senary (6) 2454044
septenary (7) 1056136
nonary (9) 220701
undecimal (11) 90018
duodecimal (12) 64324
tridecimal (13) 47ca7
tetradecimal (14) 36056
pentadecimal (15) 290ad

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψπηʹ
Mayan (base 20)
𝋰·𝋩·𝋩·𝋨
Chinese
一十三萬一千七百八十八
Chinese (financial)
壹拾參萬壹仟柒佰捌拾捌
In other modern scripts
Eastern Arabic ١٣١٧٨٨ Devanagari १३१७८८ Bengali ১৩১৭৮৮ Tamil ௧௩௧௭௮௮ Thai ๑๓๑๗๘๘ Tibetan ༡༣༡༧༨༨ Khmer ១៣១៧៨៨ Lao ໑໓໑໗໘໘ Burmese ၁၃၁၇၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131788, here are decompositions:

  • 5 + 131783 = 131788
  • 11 + 131777 = 131788
  • 17 + 131771 = 131788
  • 29 + 131759 = 131788
  • 101 + 131687 = 131788
  • 149 + 131639 = 131788
  • 197 + 131591 = 131788
  • 227 + 131561 = 131788

Showing the first eight; more decompositions exist.

Unicode codepoint
𠋌
CJK Unified Ideograph-202Cc
U+202CC
Other letter (Lo)

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

Hex color
#0202CC
RGB(2, 2, 204)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.204.

Address
0.2.2.204
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.204

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 131,788 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