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131,928

131,928 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.).

131,928 (one hundred thirty-one thousand nine hundred twenty-eight) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2³ × 3 × 23 × 239. Its proper divisors sum to 213,672, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20358.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
432
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
829,131
Recamán's sequence
a(228,516) = 131,928
Square (n²)
17,404,997,184
Cube (n³)
2,296,206,468,490,752
Divisor count
32
σ(n) — sum of divisors
345,600
φ(n) — Euler's totient
41,888
Sum of prime factors
271

Primality

Prime factorization: 2 3 × 3 × 23 × 239

Nearest primes: 131,927 (−1) · 131,933 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 23 · 24 · 46 · 69 · 92 · 138 · 184 · 239 · 276 · 478 · 552 · 717 · 956 · 1434 · 1912 · 2868 · 5497 · 5736 · 10994 · 16491 · 21988 · 32982 · 43976 · 65964 (half) · 131928
Aliquot sum (sum of proper divisors): 213,672
Factor pairs (a × b = 131,928)
1 × 131928
2 × 65964
3 × 43976
4 × 32982
6 × 21988
8 × 16491
12 × 10994
23 × 5736
24 × 5497
46 × 2868
69 × 1912
92 × 1434
138 × 956
184 × 717
239 × 552
276 × 478
First multiples
131,928 · 263,856 (double) · 395,784 · 527,712 · 659,640 · 791,568 · 923,496 · 1,055,424 · 1,187,352 · 1,319,280

Sums & aliquot sequence

As consecutive integers: 43,975 + 43,976 + 43,977 8,238 + 8,239 + … + 8,253 5,725 + 5,726 + … + 5,747 2,725 + 2,726 + … + 2,772
Aliquot sequence: 131,928 213,672 340,728 511,152 869,712 1,377,168 2,455,920 6,096,360 12,410,520 24,821,400 54,079,800 114,860,280 229,720,920 586,728,840 1,173,458,040 2,346,916,440 5,460,083,880 — unresolved within range

Continued fraction of √n

√131,928 = [363; (4, 1, 1, 3, 4, 1, 3, 1, 30, 1, 3, 1, 4, 3, 1, 1, 4, 726)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand nine hundred twenty-eight
Ordinal
131928th
Binary
100000001101011000
Octal
401530
Hexadecimal
0x20358
Base64
AgNY
One's complement
4,294,835,367 (32-bit)
Scientific notation
1.31928 × 10⁵
As a duration
131,928 s = 1 day, 12 hours, 38 minutes, 48 seconds
In other bases
ternary (3) 20200222020
quaternary (4) 200031120
quinary (5) 13210203
senary (6) 2454440
septenary (7) 1056426
nonary (9) 220866
undecimal (11) 90135
duodecimal (12) 64420
tridecimal (13) 48084
tetradecimal (14) 36116
pentadecimal (15) 29153
Palindromic in base 13

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλαϡκηʹ
Mayan (base 20)
𝋰·𝋩·𝋰·𝋨
Chinese
一十三萬一千九百二十八
Chinese (financial)
壹拾參萬壹仟玖佰貳拾捌
In other modern scripts
Eastern Arabic ١٣١٩٢٨ Devanagari १३१९२८ Bengali ১৩১৯২৮ Tamil ௧௩௧௯௨௮ Thai ๑๓๑๙๒๘ Tibetan ༡༣༡༩༢༨ Khmer ១៣១៩២៨ Lao ໑໓໑໙໒໘ Burmese ၁၃၁၉၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131928, here are decompositions:

  • 19 + 131909 = 131928
  • 29 + 131899 = 131928
  • 37 + 131891 = 131928
  • 67 + 131861 = 131928
  • 79 + 131849 = 131928
  • 89 + 131839 = 131928
  • 131 + 131797 = 131928
  • 149 + 131779 = 131928

Showing the first eight; more decompositions exist.

Unicode codepoint
𠍘
CJK Unified Ideograph-20358
U+20358
Other letter (Lo)

UTF-8 encoding: F0 A0 8D 98 (4 bytes).

Hex color
#020358
RGB(2, 3, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.3.88.

Address
0.2.3.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.3.88

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 131,928 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.