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117,816

117,816 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.).

117,816 (one hundred seventeen thousand eight hundred sixteen) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 4,909. Its proper divisors sum to 176,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CC38.

Abundant Number Evil Number Harshad / Niven Moran Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
336
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
618,711
Square (n²)
13,880,609,856
Cube (n³)
1,635,357,930,794,496
Divisor count
16
σ(n) — sum of divisors
294,600
φ(n) — Euler's totient
39,264
Sum of prime factors
4,918

Primality

Prime factorization: 2 3 × 3 × 4909

Nearest primes: 117,811 (−5) · 117,833 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 4909 · 9818 · 14727 · 19636 · 29454 · 39272 · 58908 (half) · 117816
Aliquot sum (sum of proper divisors): 176,784
Factor pairs (a × b = 117,816)
1 × 117816
2 × 58908
3 × 39272
4 × 29454
6 × 19636
8 × 14727
12 × 9818
24 × 4909
First multiples
117,816 · 235,632 (double) · 353,448 · 471,264 · 589,080 · 706,896 · 824,712 · 942,528 · 1,060,344 · 1,178,160

Sums & aliquot sequence

As consecutive integers: 39,271 + 39,272 + 39,273 7,356 + 7,357 + … + 7,371 2,431 + 2,432 + … + 2,478
Aliquot sequence: 117,816 176,784 299,376 783,888 1,531,440 3,750,960 7,877,760 19,588,800 62,048,832 113,881,728 192,950,592 336,864,960 864,778,560 1,986,393,792 3,310,721,344 4,256,771,776 4,256,788,032 — unresolved within range

Continued fraction of √n

√117,816 = [343; (4, 9, 6, 2, 33, 1, 6, 3, 1, 11, 3, 1, 1, 26, 1, 8, 14, 2, 45, 3, 1, 1, 6, 1, …)]

Period length 56 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand eight hundred sixteen
Ordinal
117816th
Binary
11100110000111000
Octal
346070
Hexadecimal
0x1CC38
Base64
Acw4
One's complement
4,294,849,479 (32-bit)
Scientific notation
1.17816 × 10⁵
As a duration
117,816 s = 1 day, 8 hours, 43 minutes, 36 seconds
In other bases
ternary (3) 12222121120
quaternary (4) 130300320
quinary (5) 12232231
senary (6) 2305240
septenary (7) 1000326
nonary (9) 188546
undecimal (11) 80576
duodecimal (12) 58220
tridecimal (13) 4181a
tetradecimal (14) 30d16
pentadecimal (15) 24d96

As an angle

117,816° = 327 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζωιϛʹ
Mayan (base 20)
𝋮·𝋮·𝋪·𝋰
Chinese
一十一萬七千八百一十六
Chinese (financial)
壹拾壹萬柒仟捌佰壹拾陸
In other modern scripts
Eastern Arabic ١١٧٨١٦ Devanagari ११७८१६ Bengali ১১৭৮১৬ Tamil ௧௧௭௮௧௬ Thai ๑๑๗๘๑๖ Tibetan ༡༡༧༨༡༦ Khmer ១១៧៨១៦ Lao ໑໑໗໘໑໖ Burmese ၁၁၇၈၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117816, here are decompositions:

  • 5 + 117811 = 117816
  • 7 + 117809 = 117816
  • 19 + 117797 = 117816
  • 29 + 117787 = 117816
  • 37 + 117779 = 117816
  • 43 + 117773 = 117816
  • 53 + 117763 = 117816
  • 59 + 117757 = 117816

Showing the first eight; more decompositions exist.

Unicode codepoint
𜰸
Lower Middle Left Twelfth Circle
U+1CC38
Other symbol (So)

UTF-8 encoding: F0 9C B0 B8 (4 bytes).

Hex color
#01CC38
RGB(1, 204, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.56.

Address
0.1.204.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.56

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 117,816 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 117816 first appears in π at position 473,620 of the decimal expansion (the 473,620ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.