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117,968

117,968 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.).

117,968 (one hundred seventeen thousand nine hundred sixty-eight) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 73 × 101. Written other ways, in hexadecimal, 0x1CCD0.

Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
3,024
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
869,711
Square (n²)
13,916,449,024
Cube (n³)
1,641,695,658,463,232
Divisor count
20
σ(n) — sum of divisors
233,988
φ(n) — Euler's totient
57,600
Sum of prime factors
182

Primality

Prime factorization: 2 4 × 73 × 101

Nearest primes: 117,959 (−9) · 117,973 (+5)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 73 · 101 · 146 · 202 · 292 · 404 · 584 · 808 · 1168 · 1616 · 7373 · 14746 · 29492 · 58984 (half) · 117968
Aliquot sum (sum of proper divisors): 116,020
Factor pairs (a × b = 117,968)
1 × 117968
2 × 58984
4 × 29492
8 × 14746
16 × 7373
73 × 1616
101 × 1168
146 × 808
202 × 584
292 × 404
First multiples
117,968 · 235,936 (double) · 353,904 · 471,872 · 589,840 · 707,808 · 825,776 · 943,744 · 1,061,712 · 1,179,680

Sums & aliquot sequence

As a sum of two squares: 88² + 332² = 152² + 308²
As consecutive integers: 3,671 + 3,672 + … + 3,702 1,580 + 1,581 + … + 1,652 1,118 + 1,119 + … + 1,218
Aliquot sequence: 117,968 116,020 127,664 125,296 124,688 116,926 79,634 44,026 22,016 22,996 17,254 8,630 6,922 3,464 3,046 1,526 1,114 — unresolved within range

Continued fraction of √n

√117,968 = [343; (2, 6, 1, 1, 2, 1, 1, 5, 10, 1, 1, 4, 8, 2, 9, 4, 1, 9, 1, 13, 8, 1, 28, 1, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand nine hundred sixty-eight
Ordinal
117968th
Binary
11100110011010000
Octal
346320
Hexadecimal
0x1CCD0
Base64
AczQ
One's complement
4,294,849,327 (32-bit)
Scientific notation
1.17968 × 10⁵
As a duration
117,968 s = 1 day, 8 hours, 46 minutes, 8 seconds
In other bases
ternary (3) 12222211012
quaternary (4) 130303100
quinary (5) 12233333
senary (6) 2310052
septenary (7) 1000634
nonary (9) 188735
undecimal (11) 806a4
duodecimal (12) 58328
tridecimal (13) 41906
tetradecimal (14) 30dc4
pentadecimal (15) 24e48

As an angle

117,968° = 327 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζϡξηʹ
Mayan (base 20)
𝋮·𝋮·𝋲·𝋨
Chinese
一十一萬七千九百六十八
Chinese (financial)
壹拾壹萬柒仟玖佰陸拾捌
In other modern scripts
Eastern Arabic ١١٧٩٦٨ Devanagari ११७९६८ Bengali ১১৭৯৬৮ Tamil ௧௧௭௯௬௮ Thai ๑๑๗๙๖๘ Tibetan ༡༡༧༩༦༨ Khmer ១១៧៩៦៨ Lao ໑໑໗໙໖໘ Burmese ၁၁၇၉၆၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117968, here are decompositions:

  • 31 + 117937 = 117968
  • 79 + 117889 = 117968
  • 127 + 117841 = 117968
  • 157 + 117811 = 117968
  • 181 + 117787 = 117968
  • 211 + 117757 = 117968
  • 241 + 117727 = 117968
  • 349 + 117619 = 117968

Showing the first eight; more decompositions exist.

Unicode codepoint
𜳐
Lower Left Quadrant Chess Pawn
U+1CCD0
Other symbol (So)

UTF-8 encoding: F0 9C B3 90 (4 bytes).

Hex color
#01CCD0
RGB(1, 204, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.208.

Address
0.1.204.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.208

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 117,968 and was likely granted around 1871.

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

Related reading

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