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108,290

108,290 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.).

108,290 (one hundred eight thousand two hundred ninety) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2 × 5 × 7² × 13 × 17. Its proper divisors sum to 150,262, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A702.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
92,801
Recamán's sequence
a(250,852) = 108,290
Square (n²)
11,726,724,100
Cube (n³)
1,269,886,952,789,000
Divisor count
48
σ(n) — sum of divisors
258,552
φ(n) — Euler's totient
32,256
Sum of prime factors
51

Primality

Prime factorization: 2 × 5 × 7 2 × 13 × 17

Nearest primes: 108,289 (−1) · 108,293 (+3)

Divisors & multiples

All divisors (48)
1 · 2 · 5 · 7 · 10 · 13 · 14 · 17 · 26 · 34 · 35 · 49 · 65 · 70 · 85 · 91 · 98 · 119 · 130 · 170 · 182 · 221 · 238 · 245 · 442 · 455 · 490 · 595 · 637 · 833 · 910 · 1105 · 1190 · 1274 · 1547 · 1666 · 2210 · 3094 · 3185 · 4165 · 6370 · 7735 · 8330 · 10829 · 15470 · 21658 · 54145 (half) · 108290
Aliquot sum (sum of proper divisors): 150,262
Factor pairs (a × b = 108,290)
1 × 108290
2 × 54145
5 × 21658
7 × 15470
10 × 10829
13 × 8330
14 × 7735
17 × 6370
26 × 4165
34 × 3185
35 × 3094
49 × 2210
65 × 1666
70 × 1547
85 × 1274
91 × 1190
98 × 1105
119 × 910
130 × 833
170 × 637
182 × 595
221 × 490
238 × 455
245 × 442
First multiples
108,290 · 216,580 (double) · 324,870 · 433,160 · 541,450 · 649,740 · 758,030 · 866,320 · 974,610 · 1,082,900

Sums & aliquot sequence

As a sum of two squares: 7² + 329² = 133² + 301² = 161² + 287² = 203² + 259²
As consecutive integers: 27,071 + 27,072 + 27,073 + 27,074 21,656 + 21,657 + 21,658 + 21,659 + 21,660 15,467 + 15,468 + … + 15,473 8,324 + 8,325 + … + 8,336
Aliquot sequence: 108,290 → 150,262 → 107,354 → 66,106 → 33,056 → 32,086 → 17,018 → 9,094 → 4,550 → 5,866 → 4,214 → 3,310 → 2,666 → 1,558 → 962 → 634 → 320 — unresolved within range

Continued fraction of √n

√108,290 = [329; (13, 2, 3, 13, 6, 1, 12, 1, 1, 2, 1, 12, 1, 2, 1, 1, 12, 1, 6, 13, 3, 2, 13, 658)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred eight thousand two hundred ninety
Ordinal
108290th
Binary
11010011100000010
Octal
323402
Hexadecimal
0x1A702
Base64
AacC
One's complement
4,294,859,005 (32-bit)
Scientific notation
1.0829 × 10⁵
As a duration
108,290 s = 1 day, 6 hours, 4 minutes, 50 seconds
In other bases
ternary (3) 12111112202
quaternary (4) 122130002
quinary (5) 11431130
senary (6) 2153202
septenary (7) 630500
nonary (9) 174482
undecimal (11) 743a6
duodecimal (12) 52802
tridecimal (13) 3a3a0
tetradecimal (14) 2b670
pentadecimal (15) 22145

As an angle

108,290° = 300 × 360° + 290°
290° ≈ 5.061 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρησϟʹ
Mayan (base 20)
𝋭·𝋪·𝋮·𝋪
Chinese
十萬八千二百九十
Chinese (financial)
壹拾萬捌仟貳佰玖拾
In other modern scripts
Eastern Arabic ١٠٨٢٩٠ Devanagari १०८२९० Bengali ১০৮২৯০ Tamil ௧௦௮௨௯௦ Thai ๑๐๘๒๙๐ Tibetan ༡༠༨༢༩༠ Khmer ១០៨២៩០ Lao ໑໐໘໒໙໐ Burmese ၁၀၈၂၉၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108290, here are decompositions:

  • 3 + 108287 = 108290
  • 19 + 108271 = 108290
  • 43 + 108247 = 108290
  • 67 + 108223 = 108290
  • 73 + 108217 = 108290
  • 79 + 108211 = 108290
  • 97 + 108193 = 108290
  • 103 + 108187 = 108290

Showing the first eight; more decompositions exist.

Hex color
#01A702
RGB(1, 167, 2)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.167.2.

Address
0.1.167.2
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.167.2

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 108,290 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 108290 first appears in π at position 583,247 of the decimal expansion (the 583,247ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.