number.wiki
Live analysis

117,980

117,980 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.).

117,980 (one hundred seventeen thousand nine hundred eighty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 5 × 17 × 347. Its proper divisors sum to 145,108, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CCDC.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Practical Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
0
Digital root
8
Palindrome
No
Bit width
17 bits
Reversed
89,711
Square (n²)
13,919,280,400
Cube (n³)
1,642,196,701,592,000
Divisor count
24
σ(n) — sum of divisors
263,088
φ(n) — Euler's totient
44,288
Sum of prime factors
373

Primality

Prime factorization: 2 2 × 5 × 17 × 347

Nearest primes: 117,979 (−1) · 117,989 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 5 · 10 · 17 · 20 · 34 · 68 · 85 · 170 · 340 · 347 · 694 · 1388 · 1735 · 3470 · 5899 · 6940 · 11798 · 23596 · 29495 · 58990 (half) · 117980
Aliquot sum (sum of proper divisors): 145,108
Factor pairs (a × b = 117,980)
1 × 117980
2 × 58990
4 × 29495
5 × 23596
10 × 11798
17 × 6940
20 × 5899
34 × 3470
68 × 1735
85 × 1388
170 × 694
340 × 347
First multiples
117,980 · 235,960 (double) · 353,940 · 471,920 · 589,900 · 707,880 · 825,860 · 943,840 · 1,061,820 · 1,179,800

Sums & aliquot sequence

As consecutive integers: 23,594 + 23,595 + 23,596 + 23,597 + 23,598 14,744 + 14,745 + … + 14,751 6,932 + 6,933 + … + 6,948 2,930 + 2,931 + … + 2,969
Aliquot sequence: 117,980 145,108 108,838 54,422 27,214 17,354 8,680 14,360 18,040 27,320 34,240 48,056 42,064 47,216 51,736 49,064 42,946 — unresolved within range

Continued fraction of √n

√117,980 = [343; (2, 13, 1, 1, 11, 1, 35, 4, 4, 5, 2, 3, 1, 4, 3, 1, 1, 1, 2, 4, 4, 3, 8, 1, …)]

Representations

In words
one hundred seventeen thousand nine hundred eighty
Ordinal
117980th
Binary
11100110011011100
Octal
346334
Hexadecimal
0x1CCDC
Base64
Aczc
One's complement
4,294,849,315 (32-bit)
Scientific notation
1.1798 × 10⁵
As a duration
117,980 s = 1 day, 8 hours, 46 minutes, 20 seconds
In other bases
ternary (3) 12222211122
quaternary (4) 130303130
quinary (5) 12233410
senary (6) 2310112
septenary (7) 1000652
nonary (9) 188748
undecimal (11) 80705
duodecimal (12) 58338
tridecimal (13) 41915
tetradecimal (14) 30dd2
pentadecimal (15) 24e55

As an angle

117,980° = 327 × 360° + 260°
260° ≈ 4.538 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ριζϡπʹ
Mayan (base 20)
𝋮·𝋮·𝋳·𝋠
Chinese
一十一萬七千九百八十
Chinese (financial)
壹拾壹萬柒仟玖佰捌拾
In other modern scripts
Eastern Arabic ١١٧٩٨٠ Devanagari ११७९८० Bengali ১১৭৯৮০ Tamil ௧௧௭௯௮௦ Thai ๑๑๗๙๘๐ Tibetan ༡༡༧༩༨༠ Khmer ១១៧៩៨០ Lao ໑໑໗໙໘໐ Burmese ၁၁၇၉၈၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117980, here are decompositions:

  • 3 + 117977 = 117980
  • 7 + 117973 = 117980
  • 43 + 117937 = 117980
  • 97 + 117883 = 117980
  • 103 + 117877 = 117980
  • 139 + 117841 = 117980
  • 193 + 117787 = 117980
  • 223 + 117757 = 117980

Showing the first eight; more decompositions exist.

Unicode codepoint
𜳜
Outlined Latin Capital Letter G
U+1CCDC
Other symbol (So)

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

Hex color
#01CCDC
RGB(1, 204, 220)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.204.220.

Address
0.1.204.220
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.204.220

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 117,980 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.