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107,046

107,046 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.).

107,046 (one hundred seven thousand forty-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 19 × 313. Its proper divisors sum to 137,874, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A226.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
640,701
Recamán's sequence
a(45,651) = 107,046
Square (n²)
11,458,846,116
Cube (n³)
1,226,623,641,333,336
Divisor count
24
σ(n) — sum of divisors
244,920
φ(n) — Euler's totient
33,696
Sum of prime factors
340

Primality

Prime factorization: 2 × 3 2 × 19 × 313

Nearest primes: 107,033 (−13) · 107,053 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 19 · 38 · 57 · 114 · 171 · 313 · 342 · 626 · 939 · 1878 · 2817 · 5634 · 5947 · 11894 · 17841 · 35682 · 53523 (half) · 107046
Aliquot sum (sum of proper divisors): 137,874
Factor pairs (a × b = 107,046)
1 × 107046
2 × 53523
3 × 35682
6 × 17841
9 × 11894
18 × 5947
19 × 5634
38 × 2817
57 × 1878
114 × 939
171 × 626
313 × 342
First multiples
107,046 · 214,092 (double) · 321,138 · 428,184 · 535,230 · 642,276 · 749,322 · 856,368 · 963,414 · 1,070,460

Sums & aliquot sequence

As consecutive integers: 35,681 + 35,682 + 35,683 26,760 + 26,761 + 26,762 + 26,763 11,890 + 11,891 + … + 11,898 8,915 + 8,916 + … + 8,926
Aliquot sequence: 107,046 → 137,874 → 163,086 → 244,722 → 244,734 → 314,754 → 411,006 → 411,018 → 425,238 → 559,722 → 559,734 → 719,754 → 925,494 → 951,738 → 968,262 → 968,274 → 1,267,806 — unresolved within range

Continued fraction of √n

√107,046 = [327; (5, 1, 1, 2, 4, 5, 2, 6, 6, 1, 1, 10, 1, 2, 1, 10, 1, 1, 6, 6, 2, 5, 4, 2, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand forty-six
Ordinal
107046th
Binary
11010001000100110
Octal
321046
Hexadecimal
0x1A226
Base64
AaIm
One's complement
4,294,860,249 (32-bit)
Scientific notation
1.07046 × 10⁵
As a duration
107,046 s = 1 day, 5 hours, 44 minutes, 6 seconds
In other bases
ternary (3) 12102211200
quaternary (4) 122020212
quinary (5) 11411141
senary (6) 2143330
septenary (7) 624042
nonary (9) 172750
undecimal (11) 73475
duodecimal (12) 51b46
tridecimal (13) 39954
tetradecimal (14) 2b022
pentadecimal (15) 21ab6

As an angle

107,046° = 297 × 360° + 126°
126° ≈ 2.199 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρζμϛʹ
Mayan (base 20)
𝋭·𝋧·𝋬·𝋦
Chinese
十萬七千零四十六
Chinese (financial)
壹拾萬柒仟零肆拾陸
In other modern scripts
Eastern Arabic ١٠٧٠٤٦ Devanagari १०७०४६ Bengali ১০৭০৪৬ Tamil ௧௦௭௦௪௬ Thai ๑๐๗๐๔๖ Tibetan ༡༠༧༠༤༦ Khmer ១០៧០៤៦ Lao ໑໐໗໐໔໖ Burmese ၁၀၇၀၄၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107046, here are decompositions:

  • 13 + 107033 = 107046
  • 53 + 106993 = 107046
  • 67 + 106979 = 107046
  • 83 + 106963 = 107046
  • 89 + 106957 = 107046
  • 97 + 106949 = 107046
  • 109 + 106937 = 107046
  • 139 + 106907 = 107046

Showing the first eight; more decompositions exist.

Hex color
#01A226
RGB(1, 162, 38)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.38.

Address
0.1.162.38
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.38

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 107,046 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 107046 first appears in π at position 531,231 of the decimal expansion (the 531,231ordinal-suffix:st 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°.