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107,042

107,042 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.).

107,042 (one hundred seven thousand forty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 13 × 23 × 179. Written other ways, in hexadecimal, 0x1A222.

Arithmetic Number Cube-Free Deficient Number Evil Number Happy Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
240,701
Recamán's sequence
a(45,659) = 107,042
Square (n²)
11,457,989,764
Cube (n³)
1,226,486,140,318,088
Divisor count
16
σ(n) — sum of divisors
181,440
φ(n) — Euler's totient
46,992
Sum of prime factors
217

Primality

Prime factorization: 2 × 13 × 23 × 179

Nearest primes: 107,033 (−9) · 107,053 (+11)

Divisors & multiples

All divisors (16)
1 · 2 · 13 · 23 · 26 · 46 · 179 · 299 · 358 · 598 · 2327 · 4117 · 4654 · 8234 · 53521 (half) · 107042
Aliquot sum (sum of proper divisors): 74,398
Factor pairs (a × b = 107,042)
1 × 107042
2 × 53521
13 × 8234
23 × 4654
26 × 4117
46 × 2327
179 × 598
299 × 358
First multiples
107,042 · 214,084 (double) · 321,126 · 428,168 · 535,210 · 642,252 · 749,294 · 856,336 · 963,378 · 1,070,420

Sums & aliquot sequence

As consecutive integers: 26,759 + 26,760 + 26,761 + 26,762 8,228 + 8,229 + … + 8,240 4,643 + 4,644 + … + 4,665 2,033 + 2,034 + … + 2,084
Aliquot sequence: 107,042 → 74,398 → 37,202 → 27,598 → 13,802 → 7,414 → 4,754 → 2,380 → 3,668 → 3,724 → 4,256 → 5,824 → 8,400 → 22,352 → 25,264 → 23,716 → 29,351 — unresolved within range

Continued fraction of √n

√107,042 = [327; (5, 1, 3, 1, 2, 1, 7, 1, 1, 4, 1, 7, 6, 4, 2, 4, 28, 4, 2, 4, 6, 7, 1, 4, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand forty-two
Ordinal
107042nd
Binary
11010001000100010
Octal
321042
Hexadecimal
0x1A222
Base64
AaIi
One's complement
4,294,860,253 (32-bit)
Scientific notation
1.07042 × 10⁵
As a duration
107,042 s = 1 day, 5 hours, 44 minutes, 2 seconds
In other bases
ternary (3) 12102211112
quaternary (4) 122020202
quinary (5) 11411132
senary (6) 2143322
septenary (7) 624035
nonary (9) 172745
undecimal (11) 73471
duodecimal (12) 51b42
tridecimal (13) 39950
tetradecimal (14) 2b01c
pentadecimal (15) 21ab2

As an angle

107,042° = 297 × 360° + 122°
122° ≈ 2.129 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρζμβʹ
Mayan (base 20)
𝋭·𝋧·𝋬·𝋢
Chinese
十萬七千零四十二
Chinese (financial)
壹拾萬柒仟零肆拾貳
In other modern scripts
Eastern Arabic ١٠٧٠٤٢ Devanagari १०७०४२ Bengali ১০৭০৪২ Tamil ௧௦௭௦௪௨ Thai ๑๐๗๐๔๒ Tibetan ༡༠༧༠༤༢ Khmer ១០៧០៤២ Lao ໑໐໗໐໔໒ Burmese ၁၀၇၀၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107042, here are decompositions:

  • 79 + 106963 = 107042
  • 139 + 106903 = 107042
  • 181 + 106861 = 107042
  • 241 + 106801 = 107042
  • 283 + 106759 = 107042
  • 349 + 106693 = 107042
  • 373 + 106669 = 107042
  • 379 + 106663 = 107042

Showing the first eight; more decompositions exist.

Hex color
#01A222
RGB(1, 162, 34)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.34.

Address
0.1.162.34
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.34

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 107,042 and was likely granted around 1870.

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.