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117,024

117,024 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.).

117,024 (one hundred seventeen thousand twenty-four) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 3 × 23 × 53. Its proper divisors sum to 209,568, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C920.

Abundant Number Arithmetic Number Evil Number Practical Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
420,711
Square (n²)
13,694,616,576
Cube (n³)
1,602,598,810,189,824
Divisor count
48
σ(n) — sum of divisors
326,592
φ(n) — Euler's totient
36,608
Sum of prime factors
89

Primality

Prime factorization: 2 5 × 3 × 23 × 53

Nearest primes: 117,023 (−1) · 117,037 (+13)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 23 · 24 · 32 · 46 · 48 · 53 · 69 · 92 · 96 · 106 · 138 · 159 · 184 · 212 · 276 · 318 · 368 · 424 · 552 · 636 · 736 · 848 · 1104 · 1219 · 1272 · 1696 · 2208 · 2438 · 2544 · 3657 · 4876 · 5088 · 7314 · 9752 · 14628 · 19504 · 29256 · 39008 · 58512 (half) · 117024
Aliquot sum (sum of proper divisors): 209,568
Factor pairs (a × b = 117,024)
1 × 117024
2 × 58512
3 × 39008
4 × 29256
6 × 19504
8 × 14628
12 × 9752
16 × 7314
23 × 5088
24 × 4876
32 × 3657
46 × 2544
48 × 2438
53 × 2208
69 × 1696
92 × 1272
96 × 1219
106 × 1104
138 × 848
159 × 736
184 × 636
212 × 552
276 × 424
318 × 368
First multiples
117,024 · 234,048 (double) · 351,072 · 468,096 · 585,120 · 702,144 · 819,168 · 936,192 · 1,053,216 · 1,170,240

Sums & aliquot sequence

As consecutive integers: 39,007 + 39,008 + 39,009 5,077 + 5,078 + … + 5,099 2,182 + 2,183 + … + 2,234 1,797 + 1,798 + … + 1,860
Aliquot sequence: 117,024 209,568 364,992 601,224 1,092,216 1,800,024 2,735,976 4,341,624 8,372,616 17,816,184 30,952,536 46,730,664 85,338,936 146,578,464 303,493,536 630,166,464 1,300,314,816 — unresolved within range

Continued fraction of √n

√117,024 = [342; (11, 2, 2, 26, 1, 26, 2, 2, 11, 684)]

Period length 10 — the block in parentheses repeats forever.

Representations

In words
one hundred seventeen thousand twenty-four
Ordinal
117024th
Binary
11100100100100000
Octal
344440
Hexadecimal
0x1C920
Base64
Ackg
One's complement
4,294,850,271 (32-bit)
Scientific notation
1.17024 × 10⁵
As a duration
117,024 s = 1 day, 8 hours, 30 minutes, 24 seconds
In other bases
ternary (3) 12221112020
quaternary (4) 130210200
quinary (5) 12221044
senary (6) 2301440
septenary (7) 665115
nonary (9) 187466
undecimal (11) 7aa16
duodecimal (12) 57880
tridecimal (13) 4135b
tetradecimal (14) 3090c
pentadecimal (15) 24a19

As an angle

117,024° = 325 × 360° + 24°
24° ≈ 0.419 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριζκδʹ
Mayan (base 20)
𝋮·𝋬·𝋫·𝋤
Chinese
一十一萬七千零二十四
Chinese (financial)
壹拾壹萬柒仟零貳拾肆
In other modern scripts
Eastern Arabic ١١٧٠٢٤ Devanagari ११७०२४ Bengali ১১৭০২৪ Tamil ௧௧௭௦௨௪ Thai ๑๑๗๐๒๔ Tibetan ༡༡༧༠༢༤ Khmer ១១៧០២៤ Lao ໑໑໗໐໒໔ Burmese ၁၁၇၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 117024, here are decompositions:

  • 7 + 117017 = 117024
  • 31 + 116993 = 117024
  • 43 + 116981 = 117024
  • 71 + 116953 = 117024
  • 97 + 116927 = 117024
  • 101 + 116923 = 117024
  • 113 + 116911 = 117024
  • 157 + 116867 = 117024

Showing the first eight; more decompositions exist.

Hex color
#01C920
RGB(1, 201, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.201.32.

Address
0.1.201.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.201.32

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 117,024 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 117024 first appears in π at position 103,199 of the decimal expansion (the 103,199ordinal-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°.