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131,728

131,728 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.).

131,728 (one hundred thirty-one thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,233. Written other ways, in hexadecimal, 0x20290.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
827,131
Recamán's sequence
a(228,916) = 131,728
Square (n²)
17,352,265,984
Cube (n³)
2,285,779,293,540,352
Divisor count
10
σ(n) — sum of divisors
255,254
φ(n) — Euler's totient
65,856
Sum of prime factors
8,241

Primality

Prime factorization: 2 4 × 8233

Nearest primes: 131,713 (−15) · 131,731 (+3)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8233 · 16466 · 32932 · 65864 (half) · 131728
Aliquot sum (sum of proper divisors): 123,526
Factor pairs (a × b = 131,728)
1 × 131728
2 × 65864
4 × 32932
8 × 16466
16 × 8233
First multiples
131,728 · 263,456 (double) · 395,184 · 526,912 · 658,640 · 790,368 · 922,096 · 1,053,824 · 1,185,552 · 1,317,280

Sums & aliquot sequence

As a sum of two squares: 192² + 308²
As consecutive integers: 4,101 + 4,102 + … + 4,132
Aliquot sequence: 131,728 123,526 76,058 44,794 22,400 40,840 51,140 56,296 53,144 71,176 90,104 103,096 122,624 122,656 118,886 59,446 29,726 — unresolved within range

Continued fraction of √n

√131,728 = [362; (1, 16, 1, 2, 2, 2, 60, 12, 1, 2, 1, 1, 4, 1, 1, 80, 9, 1, 1, 5, 1, 21, 6, 1, …)]

Representations

In words
one hundred thirty-one thousand seven hundred twenty-eight
Ordinal
131728th
Binary
100000001010010000
Octal
401220
Hexadecimal
0x20290
Base64
AgKQ
One's complement
4,294,835,567 (32-bit)
Scientific notation
1.31728 × 10⁵
As a duration
131,728 s = 1 day, 12 hours, 35 minutes, 28 seconds
In other bases
ternary (3) 20200200211
quaternary (4) 200022100
quinary (5) 13203403
senary (6) 2453504
septenary (7) 1056022
nonary (9) 220624
undecimal (11) 8aa73
duodecimal (12) 64294
tridecimal (13) 47c5c
tetradecimal (14) 36012
pentadecimal (15) 2906d

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαψκηʹ
Mayan (base 20)
𝋰·𝋩·𝋦·𝋨
Chinese
一十三萬一千七百二十八
Chinese (financial)
壹拾參萬壹仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٣١٧٢٨ Devanagari १३१७२८ Bengali ১৩১৭২৮ Tamil ௧௩௧௭௨௮ Thai ๑๓๑๗๒๘ Tibetan ༡༣༡༧༢༨ Khmer ១៣១៧២៨ Lao ໑໓໑໗໒໘ Burmese ၁၃၁၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131728, here are decompositions:

  • 17 + 131711 = 131728
  • 41 + 131687 = 131728
  • 89 + 131639 = 131728
  • 101 + 131627 = 131728
  • 137 + 131591 = 131728
  • 167 + 131561 = 131728
  • 227 + 131501 = 131728
  • 239 + 131489 = 131728

Showing the first eight; more decompositions exist.

Unicode codepoint
𠊐
CJK Unified Ideograph-20290
U+20290
Other letter (Lo)

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

Hex color
#020290
RGB(2, 2, 144)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.144.

Address
0.2.2.144
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.144

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 131,728 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 131728 first appears in π at position 458,959 of the decimal expansion (the 458,959ordinal-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