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117,712

117,712 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.).

117,712 (one hundred seventeen thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,051. Its proper divisors sum to 143,184, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CBD0.

Abundant Number Odious Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
98
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
217,711
Square (n²)
13,856,114,944
Cube (n³)
1,631,031,002,288,128
Divisor count
20
σ(n) — sum of divisors
260,896
φ(n) — Euler's totient
50,400
Sum of prime factors
1,066

Primality

Prime factorization: 2 4 × 7 × 1051

Nearest primes: 117,709 (−3) · 117,721 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 1051 · 2102 · 4204 · 7357 · 8408 · 14714 · 16816 · 29428 · 58856 (half) · 117712
Aliquot sum (sum of proper divisors): 143,184
Factor pairs (a × b = 117,712)
1 × 117712
2 × 58856
4 × 29428
7 × 16816
8 × 14714
14 × 8408
16 × 7357
28 × 4204
56 × 2102
112 × 1051
First multiples
117,712 · 235,424 (double) · 353,136 · 470,848 · 588,560 · 706,272 · 823,984 · 941,696 · 1,059,408 · 1,177,120

Sums & aliquot sequence

As consecutive integers: 16,813 + 16,814 + … + 16,819 3,663 + 3,664 + … + 3,694 414 + 415 + … + 637
Aliquot sequence: 117,712 143,184 248,656 233,146 124,838 95,866 47,936 61,792 59,924 46,924 35,200 59,660 73,060 92,756 69,574 37,346 19,678 — unresolved within range

Continued fraction of √n

√117,712 = [343; (10, 1, 8, 8, 2, 1, 3, 1, 1, 1, 2, 1, 13, 1, 6, 1, 21, 3, 1, 4, 1, 11, 4, 1, …)]

Representations

In words
one hundred seventeen thousand seven hundred twelve
Ordinal
117712th
Binary
11100101111010000
Octal
345720
Hexadecimal
0x1CBD0
Base64
AcvQ
One's complement
4,294,849,583 (32-bit)
Scientific notation
1.17712 × 10⁵
As a duration
117,712 s = 1 day, 8 hours, 41 minutes, 52 seconds
In other bases
ternary (3) 12222110201
quaternary (4) 130233100
quinary (5) 12231322
senary (6) 2304544
septenary (7) 1000120
nonary (9) 188421
undecimal (11) 80491
duodecimal (12) 58154
tridecimal (13) 4176a
tetradecimal (14) 30c80
pentadecimal (15) 24d27

As an angle

117,712° = 326 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ριζψιβʹ
Mayan (base 20)
𝋮·𝋮·𝋥·𝋬
Chinese
一十一萬七千七百一十二
Chinese (financial)
壹拾壹萬柒仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١١٧٧١٢ Devanagari ११७७१२ Bengali ১১৭৭১২ Tamil ௧௧௭௭௧௨ Thai ๑๑๗๗๑๒ Tibetan ༡༡༧༧༡༢ Khmer ១១៧៧១២ Lao ໑໑໗໗໑໒ Burmese ၁၁၇၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117712, here are decompositions:

  • 3 + 117709 = 117712
  • 11 + 117701 = 117712
  • 41 + 117671 = 117712
  • 53 + 117659 = 117712
  • 149 + 117563 = 117712
  • 173 + 117539 = 117712
  • 269 + 117443 = 117712
  • 281 + 117431 = 117712

Showing the first eight; more decompositions exist.

Hex color
#01CBD0
RGB(1, 203, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.203.208.

Address
0.1.203.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.203.208

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 117,712 and was likely granted around 1871.

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

Position in π

The digit sequence 117712 first appears in π at position 505,965 of the decimal expansion (the 505,965ordinal-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