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117,056

117,056 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.).

117,056 (one hundred seventeen thousand fifty-six) is an even 6-digit number. It is a composite number with 28 divisors, and factors as 2⁶ × 31 × 59. Its proper divisors sum to 126,784, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C940.

Abundant Number Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
650,711
Square (n²)
13,702,107,136
Cube (n³)
1,603,913,852,911,616
Divisor count
28
σ(n) — sum of divisors
243,840
φ(n) — Euler's totient
55,680
Sum of prime factors
102

Primality

Prime factorization: 2 6 × 31 × 59

Nearest primes: 117,053 (−3) · 117,071 (+15)

Divisors & multiples

All divisors (28)
1 · 2 · 4 · 8 · 16 · 31 · 32 · 59 · 62 · 64 · 118 · 124 · 236 · 248 · 472 · 496 · 944 · 992 · 1829 · 1888 · 1984 · 3658 · 3776 · 7316 · 14632 · 29264 · 58528 (half) · 117056
Aliquot sum (sum of proper divisors): 126,784
Factor pairs (a × b = 117,056)
1 × 117056
2 × 58528
4 × 29264
8 × 14632
16 × 7316
31 × 3776
32 × 3658
59 × 1984
62 × 1888
64 × 1829
118 × 992
124 × 944
236 × 496
248 × 472
First multiples
117,056 · 234,112 (double) · 351,168 · 468,224 · 585,280 · 702,336 · 819,392 · 936,448 · 1,053,504 · 1,170,560

Sums & aliquot sequence

As consecutive integers: 3,761 + 3,762 + … + 3,791 1,955 + 1,956 + … + 2,013 851 + 852 + … + 978
Aliquot sequence: 117,056 126,784 161,760 349,296 603,024 1,048,656 2,048,368 2,487,552 4,380,288 9,279,552 16,725,984 32,335,392 52,545,264 83,196,792 175,588,488 301,771,512 637,953,768 — unresolved within range

Continued fraction of √n

√117,056 = [342; (7, 2, 3, 2, 2, 1, 2, 16, 3, 8, 4, 2, 2, 3, 12, 6, 1, 3, 5, 3, 1, 6, 12, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand fifty-six
Ordinal
117056th
Binary
11100100101000000
Octal
344500
Hexadecimal
0x1C940
Base64
AclA
One's complement
4,294,850,239 (32-bit)
Scientific notation
1.17056 × 10⁵
As a duration
117,056 s = 1 day, 8 hours, 30 minutes, 56 seconds
In other bases
ternary (3) 12221120102
quaternary (4) 130211000
quinary (5) 12221211
senary (6) 2301532
septenary (7) 665162
nonary (9) 187512
undecimal (11) 7aa45
duodecimal (12) 578a8
tridecimal (13) 41384
tetradecimal (14) 30932
pentadecimal (15) 24a3b

As an angle

117,056° = 325 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζνϛʹ
Mayan (base 20)
𝋮·𝋬·𝋬·𝋰
Chinese
一十一萬七千零五十六
Chinese (financial)
壹拾壹萬柒仟零伍拾陸
In other modern scripts
Eastern Arabic ١١٧٠٥٦ Devanagari ११७०५६ Bengali ১১৭০৫৬ Tamil ௧௧௭௦௫௬ Thai ๑๑๗๐๕๖ Tibetan ༡༡༧༠༥༦ Khmer ១១៧០៥៦ Lao ໑໑໗໐໕໖ Burmese ၁၁၇၀၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117056, here are decompositions:

  • 3 + 117053 = 117056
  • 13 + 117043 = 117056
  • 19 + 117037 = 117056
  • 67 + 116989 = 117056
  • 97 + 116959 = 117056
  • 103 + 116953 = 117056
  • 127 + 116929 = 117056
  • 223 + 116833 = 117056

Showing the first eight; more decompositions exist.

Hex color
#01C940
RGB(1, 201, 64)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.64.

Address
0.1.201.64
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.64

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 117,056 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 117056 first appears in π at position 306,947 of the decimal expansion (the 306,947ordinal-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.