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131,552

131,552 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.).

131,552 (one hundred thirty-one thousand five hundred fifty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,111. Written other ways, in hexadecimal, 0x201E0.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
150
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
255,131
Recamán's sequence
a(229,268) = 131,552
Square (n²)
17,305,928,704
Cube (n³)
2,276,629,532,868,608
Divisor count
12
σ(n) — sum of divisors
259,056
φ(n) — Euler's totient
65,760
Sum of prime factors
4,121

Primality

Prime factorization: 2 5 × 4111

Nearest primes: 131,543 (−9) · 131,561 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4111 · 8222 · 16444 · 32888 · 65776 (half) · 131552
Aliquot sum (sum of proper divisors): 127,504
Factor pairs (a × b = 131,552)
1 × 131552
2 × 65776
4 × 32888
8 × 16444
16 × 8222
32 × 4111
First multiples
131,552 · 263,104 (double) · 394,656 · 526,208 · 657,760 · 789,312 · 920,864 · 1,052,416 · 1,183,968 · 1,315,520

Sums & aliquot sequence

As consecutive integers: 2,024 + 2,025 + … + 2,087
Aliquot sequence: 131,552 127,504 138,972 195,124 146,350 125,954 65,854 38,186 20,218 12,902 6,454 4,634 3,334 1,670 1,354 680 940 — unresolved within range

Continued fraction of √n

√131,552 = [362; (1, 2, 2, 1, 9, 1, 1, 14, 3, 1, 1, 2, 1, 3, 2, 2, 22, 1, 102, 1, 2, 22, 2, 1, …)]

Period length 44 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand five hundred fifty-two
Ordinal
131552nd
Binary
100000000111100000
Octal
400740
Hexadecimal
0x201E0
Base64
AgHg
One's complement
4,294,835,743 (32-bit)
Scientific notation
1.31552 × 10⁵
As a duration
131,552 s = 1 day, 12 hours, 32 minutes, 32 seconds
In other bases
ternary (3) 20200110022
quaternary (4) 200013200
quinary (5) 13202202
senary (6) 2453012
septenary (7) 1055351
nonary (9) 220408
undecimal (11) 8a923
duodecimal (12) 64168
tridecimal (13) 47b55
tetradecimal (14) 35d28
pentadecimal (15) 28ea2

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλαφνβʹ
Mayan (base 20)
𝋰·𝋨·𝋱·𝋬
Chinese
一十三萬一千五百五十二
Chinese (financial)
壹拾參萬壹仟伍佰伍拾貳
In other modern scripts
Eastern Arabic ١٣١٥٥٢ Devanagari १३१५५२ Bengali ১৩১৫৫২ Tamil ௧௩௧௫௫௨ Thai ๑๓๑๕๕๒ Tibetan ༡༣༡༥༥༢ Khmer ១៣១៥៥២ Lao ໑໓໑໕໕໒ Burmese ၁၃၁၅၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131552, here are decompositions:

  • 73 + 131479 = 131552
  • 103 + 131449 = 131552
  • 139 + 131413 = 131552
  • 181 + 131371 = 131552
  • 241 + 131311 = 131552
  • 331 + 131221 = 131552
  • 349 + 131203 = 131552
  • 409 + 131143 = 131552

Showing the first eight; more decompositions exist.

Unicode codepoint
𠇠
CJK Unified Ideograph-201E0
U+201E0
Other letter (Lo)

UTF-8 encoding: F0 A0 87 A0 (4 bytes).

Hex color
#0201E0
RGB(2, 1, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.224.

Address
0.2.1.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.224

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 131,552 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 131552 first appears in π at position 122,163 of the decimal expansion (the 122,163ordinal-suffix:rd 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.