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117,116

117,116 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.).

117,116 (one hundred seventeen thousand one hundred sixteen) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 19 × 23 × 67. Written other ways, in hexadecimal, 0x1C97C.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
42
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
611,711
Square (n²)
13,716,157,456
Cube (n³)
1,606,381,496,616,896
Divisor count
24
σ(n) — sum of divisors
228,480
φ(n) — Euler's totient
52,272
Sum of prime factors
113

Primality

Prime factorization: 2 2 × 19 × 23 × 67

Nearest primes: 117,109 (−7) · 117,119 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 19 · 23 · 38 · 46 · 67 · 76 · 92 · 134 · 268 · 437 · 874 · 1273 · 1541 · 1748 · 2546 · 3082 · 5092 · 6164 · 29279 · 58558 (half) · 117116
Aliquot sum (sum of proper divisors): 111,364
Factor pairs (a × b = 117,116)
1 × 117116
2 × 58558
4 × 29279
19 × 6164
23 × 5092
38 × 3082
46 × 2546
67 × 1748
76 × 1541
92 × 1273
134 × 874
268 × 437
First multiples
117,116 · 234,232 (double) · 351,348 · 468,464 · 585,580 · 702,696 · 819,812 · 936,928 · 1,054,044 · 1,171,160

Sums & aliquot sequence

As consecutive integers: 14,636 + 14,637 + … + 14,643 6,155 + 6,156 + … + 6,173 5,081 + 5,082 + … + 5,103 1,715 + 1,716 + … + 1,781
Aliquot sequence: 117,116 111,364 101,324 78,940 86,876 69,532 52,156 53,684 40,270 32,234 17,014 9,194 4,600 6,560 9,316 8,072 7,078 — unresolved within range

Continued fraction of √n

√117,116 = [342; (4, 1, 1, 170, 1, 1, 4, 684)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand one hundred sixteen
Ordinal
117116th
Binary
11100100101111100
Octal
344574
Hexadecimal
0x1C97C
Base64
Acl8
One's complement
4,294,850,179 (32-bit)
Scientific notation
1.17116 × 10⁵
As a duration
117,116 s = 1 day, 8 hours, 31 minutes, 56 seconds
In other bases
ternary (3) 12221122122
quaternary (4) 130211330
quinary (5) 12221431
senary (6) 2302112
septenary (7) 665306
nonary (9) 187578
undecimal (11) 7aa9a
duodecimal (12) 57938
tridecimal (13) 413cc
tetradecimal (14) 30976
pentadecimal (15) 24a7b

As an angle

117,116° = 325 × 360° + 116°
116° ≈ 2.025 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζριϛʹ
Mayan (base 20)
𝋮·𝋬·𝋯·𝋰
Chinese
一十一萬七千一百一十六
Chinese (financial)
壹拾壹萬柒仟壹佰壹拾陸
In other modern scripts
Eastern Arabic ١١٧١١٦ Devanagari ११७११६ Bengali ১১৭১১৬ Tamil ௧௧௭௧௧௬ Thai ๑๑๗๑๑๖ Tibetan ༡༡༧༡༡༦ Khmer ១១៧១១៦ Lao ໑໑໗໑໑໖ Burmese ၁၁၇၁၁၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117116, here are decompositions:

  • 7 + 117109 = 117116
  • 73 + 117043 = 117116
  • 79 + 117037 = 117116
  • 127 + 116989 = 117116
  • 157 + 116959 = 117116
  • 163 + 116953 = 117116
  • 193 + 116923 = 117116
  • 283 + 116833 = 117116

Showing the first eight; more decompositions exist.

Hex color
#01C97C
RGB(1, 201, 124)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.124.

Address
0.1.201.124
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.124

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 117,116 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 117116 first appears in π at position 300,824 of the decimal expansion (the 300,824ordinal-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

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