Live analysis

107,132

107,132 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.).

107,132 (one hundred seven thousand one hundred thirty-two) is an even 6-digit number. It is a composite number with 6 divisors, and factors as 2² × 26,783. Written other ways, in hexadecimal, 0x1A27C.

Arithmetic Number Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

★ ☆ ☆ ☆ ☆

3 notable facts · grade F

107,120 107,121 107,122 107,123 107,124 107,125 107,126 107,127 107,128 107,129 107,130 107,131 107,132 107,133 107,134 107,135 107,136 107,137 107,138 107,139 107,140 107,141 107,142 107,143 107,144

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 14
Digit product: 0
Digital root: 5
Palindrome: No
Bit width: 17 bits
Reversed: 231,701
Recamán's sequence: a(82,319) = 107,132
Square (n²): 11,477,265,424
Cube (n³): 1,229,582,399,403,968
Divisor count: 6
σ(n) — sum of divisors: 187,488
φ(n) — Euler's totient: 53,564
Sum of prime factors: 26,787

Primality

Prime factorization: 2 ² × 26783

Nearest primes: 107,123 (−9) · 107,137 (+5)

Divisors & multiples

All divisors (6)

1 · 2 · 4 · 26783 · 53566 (half) · 107132

Aliquot sum (sum of proper divisors): 80,356

Factor pairs (a × b = 107,132)

1 × 107132

2 × 53566

4 × 26783

First multiples

107,132 · 214,264 (double) · 321,396 · 428,528 · 535,660 · 642,792 · 749,924 · 857,056 · 964,188 · 1,071,320

Sums & aliquot sequence

As consecutive integers: 13,388 + 13,389 + … + 13,395

Aliquot sequence: 107,132 → 80,356 → 60,274 → 30,140 → 39,412 → 31,148 → 27,652 → 22,524 → 30,060 → 61,668 → 98,492 → 73,876 → 75,308 → 58,924 → 44,200 → 72,980 → 85,780 — unresolved within range

Continued fraction of √n

√107,132 = [327; (3, 4, 2, 12, 7, 8, 1, 4, 1, 3, 23, 8, 2, 5, 1, 1, 6, 1, 1, 1, 6, 1, 3, 1, …)]

Representations

In words: one hundred seven thousand one hundred thirty-two
Ordinal: 107132nd
Binary: 11010001001111100
Octal: 321174
Hexadecimal: 0x1A27C
Base64: AaJ8
One's complement: 4,294,860,163 (32-bit)
Scientific notation: 1.07132 × 10⁵
As a duration: 107,132 s = 1 day, 5 hours, 45 minutes, 32 seconds

In other bases

ternary (3) 12102221212

quaternary (4) 122021330

quinary (5) 11412012

senary (6) 2143552

septenary (7) 624224

nonary (9) 172855

undecimal (11) 73543

duodecimal (12) 51bb8

tridecimal (13) 399bc

tetradecimal (14) 2b084

pentadecimal (15) 21b22

As an angle

107,132° = 297 × 360° + 212°

212° ≈ 3.7 rad

Compass bearing: SSW (south-southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic: 𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian): ͵ρζρλβʹ
Mayan (base 20): 𝋭·𝋧·𝋰·𝋬
Chinese: 十萬七千一百三十二
Chinese (financial): 壹拾萬柒仟壹佰參拾貳

In other modern scripts

Eastern Arabic ١٠٧١٣٢ Devanagari १०७१३२ Bengali ১০৭১৩২ Tamil ௧௦௭௧௩௨ Thai ๑๐๗๑๓๒ Tibetan ༡༠༧༡༣༢ Khmer ១០៧១៣២ Lao ໑໐໗໑໓໒ Burmese ၁၀၇၁၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107132, here are decompositions:

13 + 107119 = 107132
31 + 107101 = 107132
43 + 107089 = 107132
61 + 107071 = 107132
79 + 107053 = 107132
139 + 106993 = 107132
211 + 106921 = 107132
229 + 106903 = 107132

Showing the first eight; more decompositions exist.

Hex color

#01A27C

RGB(1, 162, 124)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.124.

Address: 0.1.162.124
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.162.124

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 107,132 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 US107,132 on Google Patents ↗ Look up on USPTO ↗