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118,224

118,224 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.).

118,224 (one hundred eighteen thousand two hundred twenty-four) is an even 6-digit number. It is a composite number with 30 divisors, and factors as 2⁴ × 3² × 821. Its proper divisors sum to 213,042, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1CDD0.

Abundant Number Harshad / Niven Odious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
128
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
422,811
Square (n²)
13,976,914,176
Cube (n³)
1,652,406,701,543,424
Divisor count
30
σ(n) — sum of divisors
331,266
φ(n) — Euler's totient
39,360
Sum of prime factors
835

Primality

Prime factorization: 2 4 × 3 2 × 821

Nearest primes: 118,219 (−5) · 118,247 (+23)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 72 · 144 · 821 · 1642 · 2463 · 3284 · 4926 · 6568 · 7389 · 9852 · 13136 · 14778 · 19704 · 29556 · 39408 · 59112 (half) · 118224
Aliquot sum (sum of proper divisors): 213,042
Factor pairs (a × b = 118,224)
1 × 118224
2 × 59112
3 × 39408
4 × 29556
6 × 19704
8 × 14778
9 × 13136
12 × 9852
16 × 7389
18 × 6568
24 × 4926
36 × 3284
48 × 2463
72 × 1642
144 × 821
First multiples
118,224 · 236,448 (double) · 354,672 · 472,896 · 591,120 · 709,344 · 827,568 · 945,792 · 1,064,016 · 1,182,240

Sums & aliquot sequence

As a sum of two squares: 168² + 300²
As consecutive integers: 39,407 + 39,408 + 39,409 13,132 + 13,133 + … + 13,140 3,679 + 3,680 + … + 3,710 1,184 + 1,185 + … + 1,279
Aliquot sequence: 118,224 213,042 213,054 213,066 348,534 465,630 840,738 840,750 1,405,650 2,080,734 2,101,026 2,180,958 2,516,658 2,516,670 4,801,410 8,003,070 13,339,170 — unresolved within range

Continued fraction of √n

√118,224 = [343; (1, 5, 7, 13, 1, 8, 2, 27, 29, 1, 6, 3, 1, 2, 10, 1, 1, 4, 4, 1, 1, 4, 10, 1, …)]

Representations

In words
one hundred eighteen thousand two hundred twenty-four
Ordinal
118224th
Binary
11100110111010000
Octal
346720
Hexadecimal
0x1CDD0
Base64
Ac3Q
One's complement
4,294,849,071 (32-bit)
Scientific notation
1.18224 × 10⁵
As a duration
118,224 s = 1 day, 8 hours, 50 minutes, 24 seconds
In other bases
ternary (3) 20000011200
quaternary (4) 130313100
quinary (5) 12240344
senary (6) 2311200
septenary (7) 1001451
nonary (9) 200150
undecimal (11) 80907
duodecimal (12) 58500
tridecimal (13) 41a72
tetradecimal (14) 31128
pentadecimal (15) 25069

As an angle

118,224° = 328 × 360° + 144°
144° ≈ 2.513 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριησκδʹ
Mayan (base 20)
𝋮·𝋯·𝋫·𝋤
Chinese
一十一萬八千二百二十四
Chinese (financial)
壹拾壹萬捌仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ١١٨٢٢٤ Devanagari ११८२२४ Bengali ১১৮২২৪ Tamil ௧௧௮௨௨௪ Thai ๑๑๘๒๒๔ Tibetan ༡༡༨༢༢༤ Khmer ១១៨២២៤ Lao ໑໑໘໒໒໔ Burmese ၁၁၈၂၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 118224, here are decompositions:

  • 5 + 118219 = 118224
  • 11 + 118213 = 118224
  • 13 + 118211 = 118224
  • 53 + 118171 = 118224
  • 61 + 118163 = 118224
  • 97 + 118127 = 118224
  • 131 + 118093 = 118224
  • 163 + 118061 = 118224

Showing the first eight; more decompositions exist.

Unicode codepoint
𜷐
Block Octant-13678
U+1CDD0
Other symbol (So)

UTF-8 encoding: F0 9C B7 90 (4 bytes).

Hex color
#01CDD0
RGB(1, 205, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.205.208.

Address
0.1.205.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.205.208

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 118,224 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 118224 first appears in π at position 756,466 of the decimal expansion (the 756,466ordinal-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°.