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131,600

131,600 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.).

131,600 (one hundred thirty-one thousand six hundred) is an even 6-digit number. It is a composite number with 60 divisors, and factors as 2⁴ × 5² × 7 × 47. Its proper divisors sum to 237,424, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20210.

Abundant Number Gapful Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
6,131
Recamán's sequence
a(229,172) = 131,600
Square (n²)
17,318,560,000
Cube (n³)
2,279,122,496,000,000
Divisor count
60
σ(n) — sum of divisors
369,024
φ(n) — Euler's totient
44,160
Sum of prime factors
72

Primality

Prime factorization: 2 4 × 5 2 × 7 × 47

Nearest primes: 131,591 (−9) · 131,611 (+11)

Divisors & multiples

All divisors (60)
1 · 2 · 4 · 5 · 7 · 8 · 10 · 14 · 16 · 20 · 25 · 28 · 35 · 40 · 47 · 50 · 56 · 70 · 80 · 94 · 100 · 112 · 140 · 175 · 188 · 200 · 235 · 280 · 329 · 350 · 376 · 400 · 470 · 560 · 658 · 700 · 752 · 940 · 1175 · 1316 · 1400 · 1645 · 1880 · 2350 · 2632 · 2800 · 3290 · 3760 · 4700 · 5264 · 6580 · 8225 · 9400 · 13160 · 16450 · 18800 · 26320 · 32900 · 65800 (half) · 131600
Aliquot sum (sum of proper divisors): 237,424
Factor pairs (a × b = 131,600)
1 × 131600
2 × 65800
4 × 32900
5 × 26320
7 × 18800
8 × 16450
10 × 13160
14 × 9400
16 × 8225
20 × 6580
25 × 5264
28 × 4700
35 × 3760
40 × 3290
47 × 2800
50 × 2632
56 × 2350
70 × 1880
80 × 1645
94 × 1400
100 × 1316
112 × 1175
140 × 940
175 × 752
188 × 700
200 × 658
235 × 560
280 × 470
329 × 400
350 × 376
First multiples
131,600 · 263,200 (double) · 394,800 · 526,400 · 658,000 · 789,600 · 921,200 · 1,052,800 · 1,184,400 · 1,316,000

Sums & aliquot sequence

As consecutive integers: 26,318 + 26,319 + 26,320 + 26,321 + 26,322 18,797 + 18,798 + … + 18,803 5,252 + 5,253 + … + 5,276 4,097 + 4,098 + … + 4,128
Aliquot sequence: 131,600 237,424 298,256 362,416 339,796 325,484 244,120 339,080 553,540 698,900 876,520 1,213,280 1,653,472 1,632,104 1,428,106 719,258 396,922 — unresolved within range

Continued fraction of √n

√131,600 = [362; (1, 3, 3, 2, 1, 1, 8, 1, 22, 1, 1, 28, 1, 1, 22, 1, 8, 1, 1, 2, 3, 3, 1, 724)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred
Ordinal
131600th
Binary
100000001000010000
Octal
401020
Hexadecimal
0x20210
Base64
AgIQ
One's complement
4,294,835,695 (32-bit)
Scientific notation
1.316 × 10⁵
As a duration
131,600 s = 1 day, 12 hours, 33 minutes, 20 seconds
In other bases
ternary (3) 20200112002
quaternary (4) 200020100
quinary (5) 13202400
senary (6) 2453132
septenary (7) 1055450
nonary (9) 220462
undecimal (11) 8a967
duodecimal (12) 641a8
tridecimal (13) 47b91
tetradecimal (14) 35d60
pentadecimal (15) 28ed5

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢
Greek (Milesian)
͵ρλαχʹ
Mayan (base 20)
𝋰·𝋩·𝋠·𝋠
Chinese
一十三萬一千六百
Chinese (financial)
壹拾參萬壹仟陸佰
In other modern scripts
Eastern Arabic ١٣١٦٠٠ Devanagari १३१६०० Bengali ১৩১৬০০ Tamil ௧௩௧௬௦௦ Thai ๑๓๑๖๐๐ Tibetan ༡༣༡༦༠༠ Khmer ១៣១៦០០ Lao ໑໓໑໖໐໐ Burmese ၁၃၁၆၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131600, here are decompositions:

  • 19 + 131581 = 131600
  • 103 + 131497 = 131600
  • 151 + 131449 = 131600
  • 163 + 131437 = 131600
  • 229 + 131371 = 131600
  • 283 + 131317 = 131600
  • 307 + 131293 = 131600
  • 349 + 131251 = 131600

Showing the first eight; more decompositions exist.

Unicode codepoint
𠈐
CJK Unified Ideograph-20210
U+20210
Other letter (Lo)

UTF-8 encoding: F0 A0 88 90 (4 bytes).

Hex color
#020210
RGB(2, 2, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.16.

Address
0.2.2.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.16

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 131,600 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 131600 first appears in π at position 625,517 of the decimal expansion (the 625,517ordinal-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.