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117,220

117,220 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.).

117,220 (one hundred seventeen thousand two hundred twenty) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 5 × 5,861. Its proper divisors sum to 128,984, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C9E4.

Abundant Number Arithmetic Number Cube-Free Gapful Number Odious Number Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
13
Digit product
0
Digital root
4
Palindrome
No
Bit width
17 bits
Reversed
22,711
Square (n²)
13,740,528,400
Cube (n³)
1,610,664,739,048,000
Divisor count
12
σ(n) — sum of divisors
246,204
φ(n) — Euler's totient
46,880
Sum of prime factors
5,870

Primality

Prime factorization: 2 2 × 5 × 5861

Nearest primes: 117,209 (−11) · 117,223 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 5 · 10 · 20 · 5861 · 11722 · 23444 · 29305 · 58610 (half) · 117220
Aliquot sum (sum of proper divisors): 128,984
Factor pairs (a × b = 117,220)
1 × 117220
2 × 58610
4 × 29305
5 × 23444
10 × 11722
20 × 5861
First multiples
117,220 · 234,440 (double) · 351,660 · 468,880 · 586,100 · 703,320 · 820,540 · 937,760 · 1,054,980 · 1,172,200

Sums & aliquot sequence

As a sum of two squares: 16² + 342² = 218² + 264²
As consecutive integers: 23,442 + 23,443 + 23,444 + 23,445 + 23,446 14,649 + 14,650 + … + 14,656 2,911 + 2,912 + … + 2,950
Aliquot sequence: 117,220 128,984 123,736 108,284 109,444 82,090 65,690 52,570 55,718 34,330 27,482 23,590 25,082 12,544 16,583 3,385 683 — unresolved within range

Continued fraction of √n

√117,220 = [342; (2, 1, 2, 16, 3, 15, 4, 4, 6, 1, 35, 5, 1, 1, 1, 2, 2, 6, 1, 2, 2, 9, 2, 136, …)]

Period length 48 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand two hundred twenty
Ordinal
117220th
Binary
11100100111100100
Octal
344744
Hexadecimal
0x1C9E4
Base64
Acnk
One's complement
4,294,850,075 (32-bit)
Scientific notation
1.1722 × 10⁵
As a duration
117,220 s = 1 day, 8 hours, 33 minutes, 40 seconds
In other bases
ternary (3) 12221210111
quaternary (4) 130213210
quinary (5) 12222340
senary (6) 2302404
septenary (7) 665515
nonary (9) 187714
undecimal (11) 80084
duodecimal (12) 57a04
tridecimal (13) 4147c
tetradecimal (14) 30a0c
pentadecimal (15) 24aea

As an angle

117,220° = 325 × 360° + 220°
220° ≈ 3.84 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆
Greek (Milesian)
͵ριζσκʹ
Mayan (base 20)
𝋮·𝋭·𝋡·𝋠
Chinese
一十一萬七千二百二十
Chinese (financial)
壹拾壹萬柒仟貳佰貳拾
In other modern scripts
Eastern Arabic ١١٧٢٢٠ Devanagari ११७२२० Bengali ১১৭২২০ Tamil ௧௧௭௨௨௦ Thai ๑๑๗๒๒๐ Tibetan ༡༡༧༢༢༠ Khmer ១១៧២២០ Lao ໑໑໗໒໒໐ Burmese ၁၁၇၂၂၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117220, here are decompositions:

  • 11 + 117209 = 117220
  • 17 + 117203 = 117220
  • 29 + 117191 = 117220
  • 53 + 117167 = 117220
  • 101 + 117119 = 117220
  • 149 + 117071 = 117220
  • 167 + 117053 = 117220
  • 179 + 117041 = 117220

Showing the first eight; more decompositions exist.

Hex color
#01C9E4
RGB(1, 201, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.228.

Address
0.1.201.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.228

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 117,220 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 117220 first appears in π at position 622,876 of the decimal expansion (the 622,876ordinal-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