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107,082

107,082 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.).

107,082 (one hundred seven thousand eighty-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2 × 3⁴ × 661. Its proper divisors sum to 133,224, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A24A.

Abundant Number Harshad / Niven Odious Number Pernicious 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
280,701
Recamán's sequence
a(82,219) = 107,082
Square (n²)
11,466,554,724
Cube (n³)
1,227,861,612,955,368
Divisor count
20
σ(n) — sum of divisors
240,306
φ(n) — Euler's totient
35,640
Sum of prime factors
675

Primality

Prime factorization: 2 × 3 4 × 661

Nearest primes: 107,077 (−5) · 107,089 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 661 · 1322 · 1983 · 3966 · 5949 · 11898 · 17847 · 35694 · 53541 (half) · 107082
Aliquot sum (sum of proper divisors): 133,224
Factor pairs (a × b = 107,082)
1 × 107082
2 × 53541
3 × 35694
6 × 17847
9 × 11898
18 × 5949
27 × 3966
54 × 1983
81 × 1322
162 × 661
First multiples
107,082 · 214,164 (double) · 321,246 · 428,328 · 535,410 · 642,492 · 749,574 · 856,656 · 963,738 · 1,070,820

Sums & aliquot sequence

As a sum of two squares: 171² + 279²
As consecutive integers: 35,693 + 35,694 + 35,695 26,769 + 26,770 + 26,771 + 26,772 11,894 + 11,895 + … + 11,902 8,918 + 8,919 + … + 8,929
Aliquot sequence: 107,082 → 133,224 → 283,416 → 544,224 → 884,616 → 1,534,584 → 2,393,736 → 3,943,704 → 5,915,616 → 11,833,248 → 23,668,512 → 47,339,040 → 126,311,136 → 252,624,288 → 542,953,824 → 1,156,776,096 → 2,329,170,144 — unresolved within range

Continued fraction of √n

√107,082 = [327; (4, 3, 1, 1, 1, 1, 1, 6, 7, 1, 13, 21, 25, 8, 25, 21, 13, 1, 7, 6, 1, 1, 1, 1, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words
one hundred seven thousand eighty-two
Ordinal
107082nd
Binary
11010001001001010
Octal
321112
Hexadecimal
0x1A24A
Base64
AaJK
One's complement
4,294,860,213 (32-bit)
Scientific notation
1.07082 × 10⁵
As a duration
107,082 s = 1 day, 5 hours, 44 minutes, 42 seconds
In other bases
ternary (3) 12102220000
quaternary (4) 122021022
quinary (5) 11411312
senary (6) 2143430
septenary (7) 624123
nonary (9) 172800
undecimal (11) 734a8
duodecimal (12) 51b76
tridecimal (13) 39981
tetradecimal (14) 2b04a
pentadecimal (15) 21adc

As an angle

107,082° = 297 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρζπβʹ
Mayan (base 20)
𝋭·𝋧·𝋮·𝋢
Chinese
十萬七千零八十二
Chinese (financial)
壹拾萬柒仟零捌拾貳
In other modern scripts
Eastern Arabic ١٠٧٠٨٢ Devanagari १०७०८२ Bengali ১০৭০৮২ Tamil ௧௦௭௦௮௨ Thai ๑๐๗๐๘๒ Tibetan ༡༠༧༠༨༢ Khmer ១០៧០៨២ Lao ໑໐໗໐໘໒ Burmese ၁၀၇၀၈၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107082, here are decompositions:

  • 5 + 107077 = 107082
  • 11 + 107071 = 107082
  • 13 + 107069 = 107082
  • 29 + 107053 = 107082
  • 61 + 107021 = 107082
  • 89 + 106993 = 107082
  • 103 + 106979 = 107082
  • 179 + 106903 = 107082

Showing the first eight; more decompositions exist.

Hex color
#01A24A
RGB(1, 162, 74)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.74.

Address
0.1.162.74
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.74

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 107,082 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 107082 first appears in π at position 212,214 of the decimal expansion (the 212,214ordinal-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°.