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131,852

131,852 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.).

131,852 (one hundred thirty-one thousand eight hundred fifty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 17 × 277. Its proper divisors sum to 148,372, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2030C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
240
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
258,131
Recamán's sequence
a(228,668) = 131,852
Square (n²)
17,384,949,904
Cube (n³)
2,292,240,414,742,208
Divisor count
24
σ(n) — sum of divisors
280,224
φ(n) — Euler's totient
52,992
Sum of prime factors
305

Primality

Prime factorization: 2 2 × 7 × 17 × 277

Nearest primes: 131,849 (−3) · 131,861 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 14 · 17 · 28 · 34 · 68 · 119 · 238 · 277 · 476 · 554 · 1108 · 1939 · 3878 · 4709 · 7756 · 9418 · 18836 · 32963 · 65926 (half) · 131852
Aliquot sum (sum of proper divisors): 148,372
Factor pairs (a × b = 131,852)
1 × 131852
2 × 65926
4 × 32963
7 × 18836
14 × 9418
17 × 7756
28 × 4709
34 × 3878
68 × 1939
119 × 1108
238 × 554
277 × 476
First multiples
131,852 · 263,704 (double) · 395,556 · 527,408 · 659,260 · 791,112 · 922,964 · 1,054,816 · 1,186,668 · 1,318,520

Sums & aliquot sequence

As consecutive integers: 18,833 + 18,834 + … + 18,839 16,478 + 16,479 + … + 16,485 7,748 + 7,749 + … + 7,764 2,327 + 2,328 + … + 2,382
Aliquot sequence: 131,852 148,372 154,070 177,706 88,856 83,944 96,056 84,064 88,304 82,816 82,424 72,136 66,104 57,856 58,766 29,386 21,014 — unresolved within range

Continued fraction of √n

√131,852 = [363; (8, 1, 2, 1, 37, 2, 11, 1, 4, 2, 2, 1, 1, 1, 1, 1, 8, 1, 14, 1, 1, 3, 1, 180, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand eight hundred fifty-two
Ordinal
131852nd
Binary
100000001100001100
Octal
401414
Hexadecimal
0x2030C
Base64
AgMM
One's complement
4,294,835,443 (32-bit)
Scientific notation
1.31852 × 10⁵
As a duration
131,852 s = 1 day, 12 hours, 37 minutes, 32 seconds
In other bases
ternary (3) 20200212102
quaternary (4) 200030030
quinary (5) 13204402
senary (6) 2454232
septenary (7) 1056260
nonary (9) 220772
undecimal (11) 90076
duodecimal (12) 64378
tridecimal (13) 48026
tetradecimal (14) 360a0
pentadecimal (15) 29102

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαωνβʹ
Mayan (base 20)
𝋰·𝋩·𝋬·𝋬
Chinese
一十三萬一千八百五十二
Chinese (financial)
壹拾參萬壹仟捌佰伍拾貳
In other modern scripts
Eastern Arabic ١٣١٨٥٢ Devanagari १३१८५२ Bengali ১৩১৮৫২ Tamil ௧௩௧௮௫௨ Thai ๑๓๑๘๕๒ Tibetan ༡༣༡༨༥༢ Khmer ១៣១៨៥២ Lao ໑໓໑໘໕໒ Burmese ၁၃၁၈၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131852, here are decompositions:

  • 3 + 131849 = 131852
  • 13 + 131839 = 131852
  • 73 + 131779 = 131852
  • 103 + 131749 = 131852
  • 109 + 131743 = 131852
  • 139 + 131713 = 131852
  • 151 + 131701 = 131852
  • 181 + 131671 = 131852

Showing the first eight; more decompositions exist.

Unicode codepoint
𠌌
CJK Unified Ideograph-2030C
U+2030C
Other letter (Lo)

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

Hex color
#02030C
RGB(2, 3, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.12.

Address
0.2.3.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.12

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 131,852 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

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