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117,924

117,924 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.).

117,924 (one hundred seventeen thousand nine hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 31 × 317. Its proper divisors sum to 167,004, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCA4.

Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
24
Digit product
504
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
429,711
Square (n²)
13,906,069,776
Cube (n³)
1,639,859,372,265,024
Divisor count
24
σ(n) — sum of divisors
284,928
φ(n) — Euler's totient
37,920
Sum of prime factors
355

Primality

Prime factorization: 2 2 × 3 × 31 × 317

Nearest primes: 117,917 (−7) · 117,937 (+13)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 31 · 62 · 93 · 124 · 186 · 317 · 372 · 634 · 951 · 1268 · 1902 · 3804 · 9827 · 19654 · 29481 · 39308 · 58962 (half) · 117924
Aliquot sum (sum of proper divisors): 167,004
Factor pairs (a × b = 117,924)
1 × 117924
2 × 58962
3 × 39308
4 × 29481
6 × 19654
12 × 9827
31 × 3804
62 × 1902
93 × 1268
124 × 951
186 × 634
317 × 372
First multiples
117,924 · 235,848 (double) · 353,772 · 471,696 · 589,620 · 707,544 · 825,468 · 943,392 · 1,061,316 · 1,179,240

Sums & aliquot sequence

As consecutive integers: 39,307 + 39,308 + 39,309 14,737 + 14,738 + … + 14,744 4,902 + 4,903 + … + 4,925 3,789 + 3,790 + … + 3,819
Aliquot sequence: 117,924 167,004 255,236 191,434 95,720 119,740 131,756 98,824 103,496 102,244 76,690 61,370 62,074 33,434 17,626 12,614 10,714 — unresolved within range

Continued fraction of √n

√117,924 = [343; (2, 2, 62, 27, 2, 5, 5, 2, 2, 24, 8, 4, 3, 1, 1, 2, 6, 1, 3, 4, 29, 1, 1, 1, …)]

Representations

In words
one hundred seventeen thousand nine hundred twenty-four
Ordinal
117924th
Binary
11100110010100100
Octal
346244
Hexadecimal
0x1CCA4
Base64
Acyk
One's complement
4,294,849,371 (32-bit)
Scientific notation
1.17924 × 10⁵
As a duration
117,924 s = 1 day, 8 hours, 45 minutes, 24 seconds
In other bases
ternary (3) 12222202120
quaternary (4) 130302210
quinary (5) 12233144
senary (6) 2305540
septenary (7) 1000542
nonary (9) 188676
undecimal (11) 80664
duodecimal (12) 582b0
tridecimal (13) 418a1
tetradecimal (14) 30d92
pentadecimal (15) 24e19

As an angle

117,924° = 327 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζϡκδʹ
Mayan (base 20)
𝋮·𝋮·𝋰·𝋤
Chinese
一十一萬七千九百二十四
Chinese (financial)
壹拾壹萬柒仟玖佰貳拾肆
In other modern scripts
Eastern Arabic ١١٧٩٢٤ Devanagari ११७९२४ Bengali ১১৭৯২৪ Tamil ௧௧௭௯௨௪ Thai ๑๑๗๙๒๔ Tibetan ༡༡༧༩༢༤ Khmer ១១៧៩២៤ Lao ໑໑໗໙໒໔ Burmese ၁၁၇၉၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117924, here are decompositions:

  • 7 + 117917 = 117924
  • 13 + 117911 = 117924
  • 41 + 117883 = 117924
  • 43 + 117881 = 117924
  • 47 + 117877 = 117924
  • 73 + 117851 = 117924
  • 83 + 117841 = 117924
  • 113 + 117811 = 117924

Showing the first eight; more decompositions exist.

Unicode codepoint
𜲤
Left Half Flying Saucer
U+1CCA4
Other symbol (So)

UTF-8 encoding: F0 9C B2 A4 (4 bytes).

Hex color
#01CCA4
RGB(1, 204, 164)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.164.

Address
0.1.204.164
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.164

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 117,924 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 117924 first appears in π at position 277,315 of the decimal expansion (the 277,315ordinal-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°.