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117,966

117,966 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.).

117,966 (one hundred seventeen thousand nine hundred sixty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 19,661. Its proper divisors sum to 117,978, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCCE.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
2,268
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
669,711
Square (n²)
13,915,977,156
Cube (n³)
1,641,612,161,184,696
Divisor count
8
σ(n) — sum of divisors
235,944
φ(n) — Euler's totient
39,320
Sum of prime factors
19,666

Primality

Prime factorization: 2 × 3 × 19661

Nearest primes: 117,959 (−7) · 117,973 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 3 · 6 · 19661 · 39322 · 58983 (half) · 117966
Aliquot sum (sum of proper divisors): 117,978
Factor pairs (a × b = 117,966)
1 × 117966
2 × 58983
3 × 39322
6 × 19661
First multiples
117,966 · 235,932 (double) · 353,898 · 471,864 · 589,830 · 707,796 · 825,762 · 943,728 · 1,061,694 · 1,179,660

Sums & aliquot sequence

As consecutive integers: 39,321 + 39,322 + 39,323 29,490 + 29,491 + 29,492 + 29,493 9,825 + 9,826 + … + 9,836
Aliquot sequence: 117,966 117,978 156,870 326,970 675,270 1,199,610 2,028,186 2,749,734 3,832,506 4,471,296 7,902,912 13,007,384 13,440,856 17,202,344 16,454,776 19,742,504 19,461,496 — unresolved within range

Continued fraction of √n

√117,966 = [343; (2, 6, 23, 1, 1, 7, 26, 3, 2, 15, 1, 1, 4, 1, 48, 4, 22, 1, 1, 1, 5, 1, 1, 8, …)]

Representations

In words
one hundred seventeen thousand nine hundred sixty-six
Ordinal
117966th
Binary
11100110011001110
Octal
346316
Hexadecimal
0x1CCCE
Base64
AczO
One's complement
4,294,849,329 (32-bit)
Scientific notation
1.17966 × 10⁵
As a duration
117,966 s = 1 day, 8 hours, 46 minutes, 6 seconds
In other bases
ternary (3) 12222211010
quaternary (4) 130303032
quinary (5) 12233331
senary (6) 2310050
septenary (7) 1000632
nonary (9) 188733
undecimal (11) 806a2
duodecimal (12) 58326
tridecimal (13) 41904
tetradecimal (14) 30dc2
pentadecimal (15) 24e46

As an angle

117,966° = 327 × 360° + 246°
246° ≈ 4.294 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζϡξϛʹ
Mayan (base 20)
𝋮·𝋮·𝋲·𝋦
Chinese
一十一萬七千九百六十六
Chinese (financial)
壹拾壹萬柒仟玖佰陸拾陸
In other modern scripts
Eastern Arabic ١١٧٩٦٦ Devanagari ११७९६६ Bengali ১১৭৯৬৬ Tamil ௧௧௭௯௬௬ Thai ๑๑๗๙๖๖ Tibetan ༡༡༧༩༦༦ Khmer ១១៧៩៦៦ Lao ໑໑໗໙໖໖ Burmese ၁၁၇၉၆၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117966, here are decompositions:

  • 7 + 117959 = 117966
  • 29 + 117937 = 117966
  • 67 + 117899 = 117966
  • 83 + 117883 = 117966
  • 89 + 117877 = 117966
  • 127 + 117839 = 117966
  • 157 + 117809 = 117966
  • 179 + 117787 = 117966

Showing the first eight; more decompositions exist.

Unicode codepoint
𜳎
Upper Left Quadrant Chess Pawn
U+1CCCE
Other symbol (So)

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

Hex color
#01CCCE
RGB(1, 204, 206)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.206.

Address
0.1.204.206
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.206

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 117,966 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 117966 first appears in π at position 947,042 of the decimal expansion (the 947,042ordinal-suffix:nd 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°.