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130,732

130,732 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.).

130,732 (one hundred thirty thousand seven hundred thirty-two) is an even 6-digit number. It is a composite number with 36 divisors, and factors as 2² × 7² × 23 × 29. Its proper divisors sum to 156,548, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1FEAC.

Abundant Number Arithmetic Number Cube-Free Evil Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
237,031
Square (n²)
17,090,855,824
Cube (n³)
2,234,321,763,583,168
Divisor count
36
σ(n) — sum of divisors
287,280
φ(n) — Euler's totient
51,744
Sum of prime factors
70

Primality

Prime factorization: 2 2 × 7 2 × 23 × 29

Nearest primes: 130,729 (−3) · 130,769 (+37)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 7 · 14 · 23 · 28 · 29 · 46 · 49 · 58 · 92 · 98 · 116 · 161 · 196 · 203 · 322 · 406 · 644 · 667 · 812 · 1127 · 1334 · 1421 · 2254 · 2668 · 2842 · 4508 · 4669 · 5684 · 9338 · 18676 · 32683 · 65366 (half) · 130732
Aliquot sum (sum of proper divisors): 156,548
Factor pairs (a × b = 130,732)
1 × 130732
2 × 65366
4 × 32683
7 × 18676
14 × 9338
23 × 5684
28 × 4669
29 × 4508
46 × 2842
49 × 2668
58 × 2254
92 × 1421
98 × 1334
116 × 1127
161 × 812
196 × 667
203 × 644
322 × 406
First multiples
130,732 · 261,464 (double) · 392,196 · 522,928 · 653,660 · 784,392 · 915,124 · 1,045,856 · 1,176,588 · 1,307,320

Sums & aliquot sequence

As consecutive integers: 18,673 + 18,674 + … + 18,679 16,338 + 16,339 + … + 16,345 5,673 + 5,674 + … + 5,695 4,494 + 4,495 + … + 4,522
Aliquot sequence: 130,732 156,548 156,604 188,132 188,188 263,396 287,644 287,700 670,572 1,318,548 2,519,916 4,280,724 8,086,540 13,686,260 20,303,500 30,382,772 32,027,212 — unresolved within range

Continued fraction of √n

√130,732 = [361; (1, 1, 3, 7, 2, 24, 2, 7, 3, 1, 1, 722)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty thousand seven hundred thirty-two
Ordinal
130732nd
Binary
11111111010101100
Octal
377254
Hexadecimal
0x1FEAC
Base64
Af6s
One's complement
4,294,836,563 (32-bit)
Scientific notation
1.30732 × 10⁵
As a duration
130,732 s = 1 day, 12 hours, 18 minutes, 52 seconds
In other bases
ternary (3) 20122022221
quaternary (4) 133322230
quinary (5) 13140412
senary (6) 2445124
septenary (7) 1053100
nonary (9) 218287
undecimal (11) 8a248
duodecimal (12) 637a4
tridecimal (13) 47674
tetradecimal (14) 35900
pentadecimal (15) 28b07
Palindromic in base 13

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλψλβʹ
Mayan (base 20)
𝋰·𝋦·𝋰·𝋬
Chinese
一十三萬零七百三十二
Chinese (financial)
壹拾參萬零柒佰參拾貳
In other modern scripts
Eastern Arabic ١٣٠٧٣٢ Devanagari १३०७३२ Bengali ১৩০৭৩২ Tamil ௧௩௦௭௩௨ Thai ๑๓๐๗๓๒ Tibetan ༡༣༠༧༣༢ Khmer ១៣០៧៣២ Lao ໑໓໐໗໓໒ Burmese ၁၃၀၇၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 130732, here are decompositions:

  • 3 + 130729 = 130732
  • 83 + 130649 = 130732
  • 89 + 130643 = 130732
  • 101 + 130631 = 130732
  • 113 + 130619 = 130732
  • 179 + 130553 = 130732
  • 263 + 130469 = 130732
  • 293 + 130439 = 130732

Showing the first eight; more decompositions exist.

Hex color
#01FEAC
RGB(1, 254, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.254.172.

Address
0.1.254.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.254.172

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 130,732 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 130732 first appears in π at position 88,929 of the decimal expansion (the 88,929ordinal-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