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117,948

117,948 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.).

117,948 (one hundred seventeen thousand nine hundred forty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 9,829. Its proper divisors sum to 157,292, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCBC.

Abundant Number Cube-Free Evil Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
2,016
Digital root
3
Palindrome
No
Bit width
17 bits
Reversed
849,711
Square (n²)
13,911,730,704
Cube (n³)
1,640,860,813,075,392
Divisor count
12
σ(n) — sum of divisors
275,240
φ(n) — Euler's totient
39,312
Sum of prime factors
9,836

Primality

Prime factorization: 2 2 × 3 × 9829

Nearest primes: 117,937 (−11) · 117,959 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 9829 · 19658 · 29487 · 39316 · 58974 (half) · 117948
Aliquot sum (sum of proper divisors): 157,292
Factor pairs (a × b = 117,948)
1 × 117948
2 × 58974
3 × 39316
4 × 29487
6 × 19658
12 × 9829
First multiples
117,948 · 235,896 (double) · 353,844 · 471,792 · 589,740 · 707,688 · 825,636 · 943,584 · 1,061,532 · 1,179,480

Sums & aliquot sequence

As consecutive integers: 39,315 + 39,316 + 39,317 14,740 + 14,741 + … + 14,747 4,903 + 4,904 + … + 4,926
Aliquot sequence: 117,948 157,292 117,976 103,244 81,220 96,188 74,332 55,756 44,036 34,504 33,896 33,304 32,216 28,204 25,724 20,476 15,364 — unresolved within range

Continued fraction of √n

√117,948 = [343; (2, 3, 2, 1, 1, 1, 1, 1, 56, 1, 1, 1, 1, 1, 2, 3, 2, 686)]

Period length 18 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand nine hundred forty-eight
Ordinal
117948th
Binary
11100110010111100
Octal
346274
Hexadecimal
0x1CCBC
Base64
Acy8
One's complement
4,294,849,347 (32-bit)
Scientific notation
1.17948 × 10⁵
As a duration
117,948 s = 1 day, 8 hours, 45 minutes, 48 seconds
In other bases
ternary (3) 12222210110
quaternary (4) 130302330
quinary (5) 12233243
senary (6) 2310020
septenary (7) 1000605
nonary (9) 188713
undecimal (11) 80686
duodecimal (12) 58310
tridecimal (13) 418bc
tetradecimal (14) 30dac
pentadecimal (15) 24e33

As an angle

117,948° = 327 × 360° + 228°
228° ≈ 3.979 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζϡμηʹ
Mayan (base 20)
𝋮·𝋮·𝋱·𝋨
Chinese
一十一萬七千九百四十八
Chinese (financial)
壹拾壹萬柒仟玖佰肆拾捌
In other modern scripts
Eastern Arabic ١١٧٩٤٨ Devanagari ११७९४८ Bengali ১১৭৯৪৮ Tamil ௧௧௭௯௪௮ Thai ๑๑๗๙๔๘ Tibetan ༡༡༧༩༤༨ Khmer ១១៧៩៤៨ Lao ໑໑໗໙໔໘ Burmese ၁၁၇၉၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117948, here are decompositions:

  • 11 + 117937 = 117948
  • 31 + 117917 = 117948
  • 37 + 117911 = 117948
  • 59 + 117889 = 117948
  • 67 + 117881 = 117948
  • 71 + 117877 = 117948
  • 97 + 117851 = 117948
  • 107 + 117841 = 117948

Showing the first eight; more decompositions exist.

Unicode codepoint
𜲼
Lower Left Quadrant Chess King
U+1CCBC
Other symbol (So)

UTF-8 encoding: F0 9C B2 BC (4 bytes).

Hex color
#01CCBC
RGB(1, 204, 188)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.188.

Address
0.1.204.188
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.188

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 117,948 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 117948 first appears in π at position 815,502 of the decimal expansion (the 815,502ordinal-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°.