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107,802

107,802 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.).

107,802 (one hundred seven thousand eight hundred two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 53 × 113. Its proper divisors sum to 132,282, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A51A.

Abundant Number Cube-Free Evil Number Harshad / Niven 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
208,701
Square (n²)
11,621,271,204
Cube (n³)
1,252,796,278,333,608
Divisor count
24
σ(n) — sum of divisors
240,084
φ(n) — Euler's totient
34,944
Sum of prime factors
174

Primality

Prime factorization: 2 × 3 2 × 53 × 113

Nearest primes: 107,791 (−11) · 107,827 (+25)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 53 · 106 · 113 · 159 · 226 · 318 · 339 · 477 · 678 · 954 · 1017 · 2034 · 5989 · 11978 · 17967 · 35934 · 53901 (half) · 107802
Aliquot sum (sum of proper divisors): 132,282
Factor pairs (a × b = 107,802)
1 × 107802
2 × 53901
3 × 35934
6 × 17967
9 × 11978
18 × 5989
53 × 2034
106 × 1017
113 × 954
159 × 678
226 × 477
318 × 339
First multiples
107,802 · 215,604 (double) · 323,406 · 431,208 · 539,010 · 646,812 · 754,614 · 862,416 · 970,218 · 1,078,020

Sums & aliquot sequence

As a sum of two squares: 69² + 321² = 111² + 309²
As consecutive integers: 35,933 + 35,934 + 35,935 26,949 + 26,950 + 26,951 + 26,952 11,974 + 11,975 + … + 11,982 8,978 + 8,979 + … + 8,989
Aliquot sequence: 107,802 → 132,282 → 154,368 → 297,356 → 230,164 → 209,324 → 165,820 → 182,444 → 155,740 → 197,060 → 226,300 → 287,556 → 405,948 → 541,292 → 414,124 → 348,876 → 614,268 — unresolved within range

Continued fraction of √n

√107,802 = [328; (3, 93, 2, 9, 1, 12, 2, 72, 2, 12, 1, 9, 2, 93, 3, 656)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand eight hundred two
Ordinal
107802nd
Binary
11010010100011010
Octal
322432
Hexadecimal
0x1A51A
Base64
AaUa
One's complement
4,294,859,493 (32-bit)
Scientific notation
1.07802 × 10⁵
As a duration
107,802 s = 1 day, 5 hours, 56 minutes, 42 seconds
In other bases
ternary (3) 12110212200
quaternary (4) 122110122
quinary (5) 11422202
senary (6) 2151030
septenary (7) 626202
nonary (9) 173780
undecimal (11) 73aa2
duodecimal (12) 52476
tridecimal (13) 3a0b6
tetradecimal (14) 2b402
pentadecimal (15) 21e1c

As an angle

107,802° = 299 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺
Greek (Milesian)
͵ρζωβʹ
Mayan (base 20)
𝋭·𝋩·𝋪·𝋢
Chinese
十萬七千八百零二
Chinese (financial)
壹拾萬柒仟捌佰零貳
In other modern scripts
Eastern Arabic ١٠٧٨٠٢ Devanagari १०७८०२ Bengali ১০৭৮০২ Tamil ௧௦௭௮௦௨ Thai ๑๐๗๘๐๒ Tibetan ༡༠༧༨༠༢ Khmer ១០៧៨០២ Lao ໑໐໗໘໐໒ Burmese ၁၀၇၈၀၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107802, here are decompositions:

  • 11 + 107791 = 107802
  • 29 + 107773 = 107802
  • 41 + 107761 = 107802
  • 61 + 107741 = 107802
  • 83 + 107719 = 107802
  • 89 + 107713 = 107802
  • 103 + 107699 = 107802
  • 109 + 107693 = 107802

Showing the first eight; more decompositions exist.

Hex color
#01A51A
RGB(1, 165, 26)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.165.26.

Address
0.1.165.26
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.165.26

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 107,802 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.