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107,052

107,052 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.).

107,052 (one hundred seven thousand fifty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 811. Its proper divisors sum to 165,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A22C.

Abundant Number Arithmetic Number Cube-Free Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
17 bits
Reversed
250,701
Recamán's sequence
a(45,639) = 107,052
Square (n²)
11,460,130,704
Cube (n³)
1,226,829,912,124,608
Divisor count
24
σ(n) — sum of divisors
272,832
φ(n) — Euler's totient
32,400
Sum of prime factors
829

Primality

Prime factorization: 2 2 × 3 × 11 × 811

Nearest primes: 107,033 (−19) · 107,053 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 811 · 1622 · 2433 · 3244 · 4866 · 8921 · 9732 · 17842 · 26763 · 35684 · 53526 (half) · 107052
Aliquot sum (sum of proper divisors): 165,780
Factor pairs (a × b = 107,052)
1 × 107052
2 × 53526
3 × 35684
4 × 26763
6 × 17842
11 × 9732
12 × 8921
22 × 4866
33 × 3244
44 × 2433
66 × 1622
132 × 811
First multiples
107,052 · 214,104 (double) · 321,156 · 428,208 · 535,260 · 642,312 · 749,364 · 856,416 · 963,468 · 1,070,520

Sums & aliquot sequence

As consecutive integers: 35,683 + 35,684 + 35,685 13,378 + 13,379 + … + 13,385 9,727 + 9,728 + … + 9,737 4,449 + 4,450 + … + 4,472
Aliquot sequence: 107,052 → 165,780 → 351,660 → 633,156 → 922,524 → 1,268,196 → 1,690,956 → 3,004,812 → 5,381,748 → 8,571,212 → 7,582,324 → 5,686,750 → 5,700,626 → 2,850,316 → 2,850,372 → 5,384,764 → 6,364,484 — unresolved within range

Continued fraction of √n

√107,052 = [327; (5, 3, 7, 4, 1, 3, 1, 1, 1, 1, 1, 1, 7, 3, 1, 2, 1, 6, 81, 1, 1, 1, 5, 2, …)]

Representations

In words
one hundred seven thousand fifty-two
Ordinal
107052nd
Binary
11010001000101100
Octal
321054
Hexadecimal
0x1A22C
Base64
AaIs
One's complement
4,294,860,243 (32-bit)
Scientific notation
1.07052 × 10⁵
As a duration
107,052 s = 1 day, 5 hours, 44 minutes, 12 seconds
In other bases
ternary (3) 12102211220
quaternary (4) 122020230
quinary (5) 11411202
senary (6) 2143340
septenary (7) 624051
nonary (9) 172756
undecimal (11) 73480
duodecimal (12) 51b50
tridecimal (13) 3995a
tetradecimal (14) 2b028
pentadecimal (15) 21abc

As an angle

107,052° = 297 × 360° + 132°
132° ≈ 2.304 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρζνβʹ
Mayan (base 20)
𝋭·𝋧·𝋬·𝋬
Chinese
十萬七千零五十二
Chinese (financial)
壹拾萬柒仟零伍拾貳
In other modern scripts
Eastern Arabic ١٠٧٠٥٢ Devanagari १०७०५२ Bengali ১০৭০৫২ Tamil ௧௦௭௦௫௨ Thai ๑๐๗๐๕๒ Tibetan ༡༠༧༠༥༢ Khmer ១០៧០៥២ Lao ໑໐໗໐໕໒ Burmese ၁၀၇၀၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 107052, here are decompositions:

  • 19 + 107033 = 107052
  • 31 + 107021 = 107052
  • 59 + 106993 = 107052
  • 73 + 106979 = 107052
  • 89 + 106963 = 107052
  • 103 + 106949 = 107052
  • 131 + 106921 = 107052
  • 149 + 106903 = 107052

Showing the first eight; more decompositions exist.

Hex color
#01A22C
RGB(1, 162, 44)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.162.44.

Address
0.1.162.44
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.162.44

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 107,052 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 107052 first appears in π at position 460,013 of the decimal expansion (the 460,013ordinal-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°.