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131,376

131,376 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.).

131,376 (one hundred thirty-one thousand three hundred seventy-six) is an even 6-digit number. It is a composite number with 80 divisors, and factors as 2⁴ × 3 × 7 × 17 × 23. Its proper divisors sum to 297,168, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20130.

Abundant Number Evil Number Gapful Number Harshad / Niven Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
378
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
673,131
Square (n²)
17,259,653,376
Cube (n³)
2,267,504,221,925,376
Divisor count
80
σ(n) — sum of divisors
428,544
φ(n) — Euler's totient
33,792
Sum of prime factors
58

Primality

Prime factorization: 2 4 × 3 × 7 × 17 × 23

Nearest primes: 131,371 (−5) · 131,381 (+5)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 16 · 17 · 21 · 23 · 24 · 28 · 34 · 42 · 46 · 48 · 51 · 56 · 68 · 69 · 84 · 92 · 102 · 112 · 119 · 136 · 138 · 161 · 168 · 184 · 204 · 238 · 272 · 276 · 322 · 336 · 357 · 368 · 391 · 408 · 476 · 483 · 552 · 644 · 714 · 782 · 816 · 952 · 966 · 1104 · 1173 · 1288 · 1428 · 1564 · 1904 · 1932 · 2346 · 2576 · 2737 · 2856 · 3128 · 3864 · 4692 · 5474 · 5712 · 6256 · 7728 · 8211 · 9384 · 10948 · 16422 · 18768 · 21896 · 32844 · 43792 · 65688 (half) · 131376
Aliquot sum (sum of proper divisors): 297,168
Factor pairs (a × b = 131,376)
1 × 131376
2 × 65688
3 × 43792
4 × 32844
6 × 21896
7 × 18768
8 × 16422
12 × 10948
14 × 9384
16 × 8211
17 × 7728
21 × 6256
23 × 5712
24 × 5474
28 × 4692
34 × 3864
42 × 3128
46 × 2856
48 × 2737
51 × 2576
56 × 2346
68 × 1932
69 × 1904
84 × 1564
92 × 1428
102 × 1288
112 × 1173
119 × 1104
136 × 966
138 × 952
161 × 816
168 × 782
184 × 714
204 × 644
238 × 552
272 × 483
276 × 476
322 × 408
336 × 391
357 × 368
First multiples
131,376 · 262,752 (double) · 394,128 · 525,504 · 656,880 · 788,256 · 919,632 · 1,051,008 · 1,182,384 · 1,313,760

Sums & aliquot sequence

As consecutive integers: 43,791 + 43,792 + 43,793 18,765 + 18,766 + … + 18,771 7,720 + 7,721 + … + 7,736 6,246 + 6,247 + … + 6,266
Aliquot sequence: 131,376 297,168 494,448 783,000 2,025,000 5,064,390 8,441,370 16,643,430 28,911,690 49,532,598 57,788,070 80,903,370 113,264,790 158,860,650 275,986,518 275,986,530 441,578,682 — unresolved within range

Continued fraction of √n

√131,376 = [362; (2, 5, 2, 28, 1, 1, 6, 45, 6, 1, 1, 28, 2, 5, 2, 724)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand three hundred seventy-six
Ordinal
131376th
Binary
100000000100110000
Octal
400460
Hexadecimal
0x20130
Base64
AgEw
One's complement
4,294,835,919 (32-bit)
Scientific notation
1.31376 × 10⁵
As a duration
131,376 s = 1 day, 12 hours, 29 minutes, 36 seconds
In other bases
ternary (3) 20200012210
quaternary (4) 200010300
quinary (5) 13201001
senary (6) 2452120
septenary (7) 1055010
nonary (9) 220183
undecimal (11) 8a783
duodecimal (12) 64040
tridecimal (13) 47a4b
tetradecimal (14) 35c40
pentadecimal (15) 28dd6

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλατοϛʹ
Mayan (base 20)
𝋰·𝋨·𝋨·𝋰
Chinese
一十三萬一千三百七十六
Chinese (financial)
壹拾參萬壹仟參佰柒拾陸
In other modern scripts
Eastern Arabic ١٣١٣٧٦ Devanagari १३१३७६ Bengali ১৩১৩৭৬ Tamil ௧௩௧௩௭௬ Thai ๑๓๑๓๗๖ Tibetan ༡༣༡༣༧༦ Khmer ១៣១៣៧៦ Lao ໑໓໑໓໗໖ Burmese ၁၃၁၃၇၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131376, here are decompositions:

  • 5 + 131371 = 131376
  • 13 + 131363 = 131376
  • 19 + 131357 = 131376
  • 59 + 131317 = 131376
  • 73 + 131303 = 131376
  • 79 + 131297 = 131376
  • 83 + 131293 = 131376
  • 109 + 131267 = 131376

Showing the first eight; more decompositions exist.

Unicode codepoint
𠄰
CJK Unified Ideograph-20130
U+20130
Other letter (Lo)

UTF-8 encoding: F0 A0 84 B0 (4 bytes).

Hex color
#020130
RGB(2, 1, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.1.48.

Address
0.2.1.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.1.48

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 131,376 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°.