number.wiki
Live analysis

107,024

107,024 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.).

107,024 (one hundred seven thousand twenty-four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 6,689. Written other ways, in hexadecimal, 0x1A210.

Arithmetic Number Deficient Number Happy Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
420,701
Recamán's sequence
a(45,695) = 107,024
Square (n²)
11,454,136,576
Cube (n³)
1,225,867,512,909,824
Divisor count
10
σ(n) — sum of divisors
207,390
φ(n) — Euler's totient
53,504
Sum of prime factors
6,697

Primality

Prime factorization: 2 4 × 6689

Nearest primes: 107,021 (−3) · 107,033 (+9)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 6689 · 13378 · 26756 · 53512 (half) · 107024
Aliquot sum (sum of proper divisors): 100,366
Factor pairs (a × b = 107,024)
1 × 107024
2 × 53512
4 × 26756
8 × 13378
16 × 6689
First multiples
107,024 · 214,048 (double) · 321,072 · 428,096 · 535,120 · 642,144 · 749,168 · 856,192 · 963,216 · 1,070,240

Sums & aliquot sequence

As a sum of two squares: 68² + 320²
As consecutive integers: 3,329 + 3,330 + … + 3,360
Aliquot sequence: 107,024 → 100,366 → 75,890 → 60,730 → 48,602 → 28,198 → 16,010 → 12,826 → 8,720 → 11,740 → 12,956 → 10,564 → 9,036 → 13,896 → 23,934 → 23,946 → 27,798 — unresolved within range

Continued fraction of √n

√107,024 = [327; (6, 1, 7, 1, 3, 32, 2, 5, 2, 1, 6, 4, 1, 25, 2, 1, 2, 1, 3, 13, 11, 1, 4, 1, …)]

Representations

In words
one hundred seven thousand twenty-four
Ordinal
107024th
Binary
11010001000010000
Octal
321020
Hexadecimal
0x1A210
Base64
AaIQ
One's complement
4,294,860,271 (32-bit)
Scientific notation
1.07024 × 10⁵
As a duration
107,024 s = 1 day, 5 hours, 43 minutes, 44 seconds
In other bases
ternary (3) 12102210212
quaternary (4) 122020100
quinary (5) 11411044
senary (6) 2143252
septenary (7) 624011
nonary (9) 172725
undecimal (11) 73455
duodecimal (12) 51b28
tridecimal (13) 39938
tetradecimal (14) 2b008
pentadecimal (15) 21a9e

As an angle

107,024° = 297 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζκδʹ
Mayan (base 20)
𝋭·𝋧·𝋫·𝋤
Chinese
十萬七千零二十四
Chinese (financial)
壹拾萬柒仟零貳拾肆
In other modern scripts
Eastern Arabic ١٠٧٠٢٤ Devanagari १०७०२४ Bengali ১০৭০২৪ Tamil ௧௦௭௦௨௪ Thai ๑๐๗๐๒๔ Tibetan ༡༠༧༠༢༤ Khmer ១០៧០២៤ Lao ໑໐໗໐໒໔ Burmese ၁၀၇၀၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107024, here are decompositions:

  • 3 + 107021 = 107024
  • 31 + 106993 = 107024
  • 61 + 106963 = 107024
  • 67 + 106957 = 107024
  • 103 + 106921 = 107024
  • 157 + 106867 = 107024
  • 163 + 106861 = 107024
  • 223 + 106801 = 107024

Showing the first eight; more decompositions exist.

Hex color
#01A210
RGB(1, 162, 16)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.16.

Address
0.1.162.16
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.16

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 107,024 and was likely granted around 1870.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 107024 first appears in π at position 191,732 of the decimal expansion (the 191,732ordinal-suffix:nd 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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.