number.wiki
Live analysis

117,096

117,096 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.).

117,096 (one hundred seventeen thousand ninety-six) is an even 6-digit number. It is a composite number with 64 divisors, and factors as 2³ × 3 × 7 × 17 × 41. Its proper divisors sum to 245,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C968.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Octahedral Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
690,711
Square (n²)
13,711,473,216
Cube (n³)
1,605,558,667,700,736
Divisor count
64
σ(n) — sum of divisors
362,880
φ(n) — Euler's totient
30,720
Sum of prime factors
74

Primality

Prime factorization: 2 3 × 3 × 7 × 17 × 41

Nearest primes: 117,071 (−25) · 117,101 (+5)

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 6 · 7 · 8 · 12 · 14 · 17 · 21 · 24 · 28 · 34 · 41 · 42 · 51 · 56 · 68 · 82 · 84 · 102 · 119 · 123 · 136 · 164 · 168 · 204 · 238 · 246 · 287 · 328 · 357 · 408 · 476 · 492 · 574 · 697 · 714 · 861 · 952 · 984 · 1148 · 1394 · 1428 · 1722 · 2091 · 2296 · 2788 · 2856 · 3444 · 4182 · 4879 · 5576 · 6888 · 8364 · 9758 · 14637 · 16728 · 19516 · 29274 · 39032 · 58548 (half) · 117096
Aliquot sum (sum of proper divisors): 245,784
Factor pairs (a × b = 117,096)
1 × 117096
2 × 58548
3 × 39032
4 × 29274
6 × 19516
7 × 16728
8 × 14637
12 × 9758
14 × 8364
17 × 6888
21 × 5576
24 × 4879
28 × 4182
34 × 3444
41 × 2856
42 × 2788
51 × 2296
56 × 2091
68 × 1722
82 × 1428
84 × 1394
102 × 1148
119 × 984
123 × 952
136 × 861
164 × 714
168 × 697
204 × 574
238 × 492
246 × 476
287 × 408
328 × 357
First multiples
117,096 · 234,192 (double) · 351,288 · 468,384 · 585,480 · 702,576 · 819,672 · 936,768 · 1,053,864 · 1,170,960

Sums & aliquot sequence

As consecutive integers: 39,031 + 39,032 + 39,033 16,725 + 16,726 + … + 16,731 7,311 + 7,312 + … + 7,326 6,880 + 6,881 + … + 6,896
Aliquot sequence: 117,096 245,784 575,016 1,071,384 1,607,136 2,611,848 3,917,832 5,876,808 10,914,552 21,335,328 51,784,992 126,534,240 366,988,608 835,203,552 1,357,206,024 2,214,389,976 3,327,921,624 — unresolved within range

Continued fraction of √n

√117,096 = [342; (5, 5, 2, 5, 5, 684)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand ninety-six
Ordinal
117096th
Binary
11100100101101000
Octal
344550
Hexadecimal
0x1C968
Base64
Aclo
One's complement
4,294,850,199 (32-bit)
Scientific notation
1.17096 × 10⁵
As a duration
117,096 s = 1 day, 8 hours, 31 minutes, 36 seconds
In other bases
ternary (3) 12221121220
quaternary (4) 130211220
quinary (5) 12221341
senary (6) 2302040
septenary (7) 665250
nonary (9) 187556
undecimal (11) 7aa81
duodecimal (12) 57920
tridecimal (13) 413b5
tetradecimal (14) 30960
pentadecimal (15) 24a66

As an angle

117,096° = 325 × 360° + 96°
96° ≈ 1.676 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζϟϛʹ
Mayan (base 20)
𝋮·𝋬·𝋮·𝋰
Chinese
一十一萬七千零九十六
Chinese (financial)
壹拾壹萬柒仟零玖拾陸
In other modern scripts
Eastern Arabic ١١٧٠٩٦ Devanagari ११७०९६ Bengali ১১৭০৯৬ Tamil ௧௧௭௦௯௬ Thai ๑๑๗๐๙๖ Tibetan ༡༡༧༠༩༦ Khmer ១១៧០៩៦ Lao ໑໑໗໐໙໖ Burmese ၁၁၇၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117096, here are decompositions:

  • 43 + 117053 = 117096
  • 53 + 117043 = 117096
  • 59 + 117037 = 117096
  • 73 + 117023 = 117096
  • 79 + 117017 = 117096
  • 103 + 116993 = 117096
  • 107 + 116989 = 117096
  • 127 + 116969 = 117096

Showing the first eight; more decompositions exist.

Hex color
#01C968
RGB(1, 201, 104)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.104.

Address
0.1.201.104
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.104

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 117,096 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 117096 first appears in π at position 17,356 of the decimal expansion (the 17,356ordinal-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°.