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108,512

108,512 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.).

108,512 (one hundred eight thousand five hundred twelve) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,391. Written other ways, in hexadecimal, 0x1A7E0.

Arithmetic Number Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
215,801
Recamán's sequence
a(79,883) = 108,512
Square (n²)
11,774,854,144
Cube (n³)
1,277,712,972,873,728
Divisor count
12
σ(n) — sum of divisors
213,696
φ(n) — Euler's totient
54,240
Sum of prime factors
3,401

Primality

Prime factorization: 2 5 × 3391

Nearest primes: 108,503 (−9) · 108,517 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 3391 · 6782 · 13564 · 27128 · 54256 (half) · 108512
Aliquot sum (sum of proper divisors): 105,184
Factor pairs (a × b = 108,512)
1 × 108512
2 × 54256
4 × 27128
8 × 13564
16 × 6782
32 × 3391
First multiples
108,512 · 217,024 (double) · 325,536 · 434,048 · 542,560 · 651,072 · 759,584 · 868,096 · 976,608 · 1,085,120

Sums & aliquot sequence

As consecutive integers: 1,664 + 1,665 + … + 1,727
Aliquot sequence: 108,512 → 105,184 → 114,056 → 104,644 → 78,490 → 66,662 → 33,334 → 23,834 → 14,074 → 7,814 → 3,910 → 3,866 → 1,936 → 2,187 → 1,093 → 1 → 0 — terminates at zero

Continued fraction of √n

√108,512 = [329; (2, 2, 3, 20, 3, 2, 2, 658)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand five hundred twelve
Ordinal
108512th
Binary
11010011111100000
Octal
323740
Hexadecimal
0x1A7E0
Base64
Aafg
One's complement
4,294,858,783 (32-bit)
Scientific notation
1.08512 × 10⁵
As a duration
108,512 s = 1 day, 6 hours, 8 minutes, 32 seconds
In other bases
ternary (3) 12111211222
quaternary (4) 122133200
quinary (5) 11433022
senary (6) 2154212
septenary (7) 631235
nonary (9) 174758
undecimal (11) 74588
duodecimal (12) 52968
tridecimal (13) 3a511
tetradecimal (14) 2b78c
pentadecimal (15) 22242

As an angle

108,512° = 301 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρηφιβʹ
Mayan (base 20)
𝋭·𝋫·𝋥·𝋬
Chinese
十萬八千五百一十二
Chinese (financial)
壹拾萬捌仟伍佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٨٥١٢ Devanagari १०८५१२ Bengali ১০৮৫১২ Tamil ௧௦௮௫௧௨ Thai ๑๐๘๕๑๒ Tibetan ༡༠༨༥༡༢ Khmer ១០៨៥១២ Lao ໑໐໘໕໑໒ Burmese ၁၀၈၅၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108512, here are decompositions:

  • 13 + 108499 = 108512
  • 73 + 108439 = 108512
  • 211 + 108301 = 108512
  • 223 + 108289 = 108512
  • 241 + 108271 = 108512
  • 373 + 108139 = 108512
  • 433 + 108079 = 108512
  • 499 + 108013 = 108512

Showing the first eight; more decompositions exist.

Hex color
#01A7E0
RGB(1, 167, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.224.

Address
0.1.167.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.167.224

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 108,512 and was likely granted around 1870.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.