Live analysis

108,132

108,132 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.).

108,132 (one hundred eight thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 9,011. Its proper divisors sum to 144,204, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A664.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Happy Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

108,120 108,121 108,122 108,123 108,124 108,125 108,126 108,127 108,128 108,129 108,130 108,131 108,132 108,133 108,134 108,135 108,136 108,137 108,138 108,139 108,140 108,141 108,142 108,143 108,144

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 0
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 231,801
Recamán's sequence: a(251,168) = 108,132
Square (n²): 11,692,529,424
Cube (n³): 1,264,336,591,675,968
Divisor count: 12
σ(n) — sum of divisors: 252,336
φ(n) — Euler's totient: 36,040
Sum of prime factors: 9,018

Primality

Prime factorization: 2 ² × 3 × 9011

Nearest primes: 108,131 (−1) · 108,139 (+7)

Divisors & multiples

All divisors (12)

1 · 2 · 3 · 4 · 6 · 12 · 9011 · 18022 · 27033 · 36044 · 54066 (half) · 108132

Aliquot sum (sum of proper divisors): 144,204

Factor pairs (a × b = 108,132)

1 × 108132

2 × 54066

3 × 36044

4 × 27033

6 × 18022

12 × 9011

First multiples

108,132 · 216,264 (double) · 324,396 · 432,528 · 540,660 · 648,792 · 756,924 · 865,056 · 973,188 · 1,081,320

Sums & aliquot sequence

As consecutive integers: 36,043 + 36,044 + 36,045 13,513 + 13,514 + … + 13,520 4,494 + 4,495 + … + 4,517

Aliquot sequence: 108,132 → 144,204 → 199,524 → 302,236 → 274,844 → 206,140 → 266,612 → 199,966 → 123,098 → 64,762 → 32,384 → 41,056 → 39,836 → 33,076 → 24,814 → 14,426 → 7,216 — unresolved within range

Continued fraction of √n

√108,132 = [328; (1, 5, 28, 2, 2, 1, 19, 1, 5, 5, 7, 2, 1, 2, 1, 2, 1, 9, 1, 1, 5, 6, 1, 8, …)]

Representations

In words: one hundred eight thousand one hundred thirty-two
Ordinal: 108132nd
Binary: 11010011001100100
Octal: 323144
Hexadecimal: 0x1A664
Base64: AaZk
One's complement: 4,294,859,163 (32-bit)
Scientific notation: 1.08132 × 10⁵
As a duration: 108,132 s = 1 day, 6 hours, 2 minutes, 12 seconds

In other bases

ternary (3) 12111022220

quaternary (4) 122121210

quinary (5) 11430012

senary (6) 2152340

septenary (7) 630153

nonary (9) 174286

undecimal (11) 74272

duodecimal (12) 526b0

tridecimal (13) 3a2ab

tetradecimal (14) 2b59a

pentadecimal (15) 2208c

As an angle

108,132° = 300 × 360° + 132°

132° ≈ 2.304 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋 𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρηρλβʹ
Mayan (base 20): 𝋭·𝋪·𝋦·𝋬
Chinese: 十萬八千一百三十二
Chinese (financial): 壹拾萬捌仟壹佰參拾貳

In other modern scripts

Eastern Arabic ١٠٨١٣٢ Devanagari १०८१३२ Bengali ১০৮১৩২ Tamil ௧௦௮௧௩௨ Thai ๑๐๘๑๓๒ Tibetan ༡༠༨༡༣༢ Khmer ១០៨១៣២ Lao ໑໐໘໑໓໒ Burmese ၁၀၈၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108132, here are decompositions:

5 + 108127 = 108132
23 + 108109 = 108132
43 + 108089 = 108132
53 + 108079 = 108132
71 + 108061 = 108132
109 + 108023 = 108132
151 + 107981 = 108132
181 + 107951 = 108132

Showing the first eight; more decompositions exist.

Hex color

#01A664

RGB(1, 166, 100)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.166.100.

Address: 0.1.166.100
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.166.100

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 108,132 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Look up US108,132 on Google Patents ↗ Look up on USPTO ↗

Position in π

The digit sequence 108132 first appears in π at position 154,650 of the decimal expansion (the 154,650ordinal-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.

Look up 108132 on Pi Search ↗