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131,670

131,670 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.).

131,670 (one hundred thirty-one thousand six hundred seventy) is an even 6-digit number. It is a composite number with 96 divisors, and factors as 2 × 3² × 5 × 7 × 11 × 19. Its proper divisors sum to 317,610, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x20256.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
76,131
Recamán's sequence
a(229,032) = 131,670
Square (n²)
17,336,988,900
Cube (n³)
2,282,761,328,463,000
Divisor count
96
σ(n) — sum of divisors
449,280
φ(n) — Euler's totient
25,920
Sum of prime factors
50

Primality

Prime factorization: 2 × 3 2 × 5 × 7 × 11 × 19

Nearest primes: 131,641 (−29) · 131,671 (+1)

Divisors & multiples

All divisors (96)
1 · 2 · 3 · 5 · 6 · 7 · 9 · 10 · 11 · 14 · 15 · 18 · 19 · 21 · 22 · 30 · 33 · 35 · 38 · 42 · 45 · 55 · 57 · 63 · 66 · 70 · 77 · 90 · 95 · 99 · 105 · 110 · 114 · 126 · 133 · 154 · 165 · 171 · 190 · 198 · 209 · 210 · 231 · 266 · 285 · 315 · 330 · 342 · 385 · 399 · 418 · 462 · 495 · 570 · 627 · 630 · 665 · 693 · 770 · 798 · 855 · 990 · 1045 · 1155 · 1197 · 1254 · 1330 · 1386 · 1463 · 1710 · 1881 · 1995 · 2090 · 2310 · 2394 · 2926 · 3135 · 3465 · 3762 · 3990 · 4389 · 5985 · 6270 · 6930 · 7315 · 8778 · 9405 · 11970 · 13167 · 14630 · 18810 · 21945 · 26334 · 43890 · 65835 (half) · 131670
Aliquot sum (sum of proper divisors): 317,610
Factor pairs (a × b = 131,670)
1 × 131670
2 × 65835
3 × 43890
5 × 26334
6 × 21945
7 × 18810
9 × 14630
10 × 13167
11 × 11970
14 × 9405
15 × 8778
18 × 7315
19 × 6930
21 × 6270
22 × 5985
30 × 4389
33 × 3990
35 × 3762
38 × 3465
42 × 3135
45 × 2926
55 × 2394
57 × 2310
63 × 2090
66 × 1995
70 × 1881
77 × 1710
90 × 1463
95 × 1386
99 × 1330
105 × 1254
110 × 1197
114 × 1155
126 × 1045
133 × 990
154 × 855
165 × 798
171 × 770
190 × 693
198 × 665
209 × 630
210 × 627
231 × 570
266 × 495
285 × 462
315 × 418
330 × 399
342 × 385
First multiples
131,670 · 263,340 (double) · 395,010 · 526,680 · 658,350 · 790,020 · 921,690 · 1,053,360 · 1,185,030 · 1,316,700

Sums & aliquot sequence

As consecutive integers: 43,889 + 43,890 + 43,891 32,916 + 32,917 + 32,918 + 32,919 26,332 + 26,333 + 26,334 + 26,335 + 26,336 18,807 + 18,808 + … + 18,813
Aliquot sequence: 131,670 317,610 508,410 1,046,790 1,745,370 3,443,814 4,696,578 5,479,380 11,925,420 24,036,660 50,675,796 77,421,446 44,723,962 22,789,754 14,024,506 7,012,256 6,793,186 — unresolved within range

Continued fraction of √n

√131,670 = [362; (1, 6, 3, 80, 3, 6, 1, 724)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-one thousand six hundred seventy
Ordinal
131670th
Binary
100000001001010110
Octal
401126
Hexadecimal
0x20256
Base64
AgJW
One's complement
4,294,835,625 (32-bit)
Scientific notation
1.3167 × 10⁵
As a duration
131,670 s = 1 day, 12 hours, 34 minutes, 30 seconds
In other bases
ternary (3) 20200121200
quaternary (4) 200021112
quinary (5) 13203140
senary (6) 2453330
septenary (7) 1055610
nonary (9) 220550
undecimal (11) 8aa20
duodecimal (12) 64246
tridecimal (13) 47c16
tetradecimal (14) 35db0
pentadecimal (15) 29030
Palindromic in base 12

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρλαχοʹ
Mayan (base 20)
𝋰·𝋩·𝋣·𝋪
Chinese
一十三萬一千六百七十
Chinese (financial)
壹拾參萬壹仟陸佰柒拾
In other modern scripts
Eastern Arabic ١٣١٦٧٠ Devanagari १३१६७० Bengali ১৩১৬৭০ Tamil ௧௩௧௬௭௦ Thai ๑๓๑๖๗๐ Tibetan ༡༣༡༦༧༠ Khmer ១៣១៦៧០ Lao ໑໓໑໖໗໐ Burmese ၁၃၁၆၇၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 131670, here are decompositions:

  • 29 + 131641 = 131670
  • 31 + 131639 = 131670
  • 43 + 131627 = 131670
  • 53 + 131617 = 131670
  • 59 + 131611 = 131670
  • 79 + 131591 = 131670
  • 89 + 131581 = 131670
  • 109 + 131561 = 131670

Showing the first eight; more decompositions exist.

Unicode codepoint
𠉖
CJK Unified Ideograph-20256
U+20256
Other letter (Lo)

UTF-8 encoding: F0 A0 89 96 (4 bytes).

Hex color
#020256
RGB(2, 2, 86)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.2.86.

Address
0.2.2.86
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.2.86

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 131,670 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°.