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108,824

108,824 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.).
Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Self Number

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
428,801
Recamán's sequence
a(80,507) = 108,824
Square (n²)
11,842,662,976
Cube (n³)
1,288,765,955,700,224
Divisor count
16
σ(n) — sum of divisors
208,320
φ(n) — Euler's totient
53,280
Sum of prime factors
290

Primality

Prime factorization: 2 3 × 61 × 223

Nearest primes: 108,821 (−3) · 108,827 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 61 · 122 · 223 · 244 · 446 · 488 · 892 · 1784 · 13603 · 27206 · 54412 (half) · 108824
Aliquot sum (sum of proper divisors): 99,496
Factor pairs (a × b = 108,824)
1 × 108824
2 × 54412
4 × 27206
8 × 13603
61 × 1784
122 × 892
223 × 488
244 × 446
First multiples
108,824 · 217,648 (double) · 326,472 · 435,296 · 544,120 · 652,944 · 761,768 · 870,592 · 979,416 · 1,088,240

Sums & aliquot sequence

As consecutive integers: 6,794 + 6,795 + … + 6,809 1,754 + 1,755 + … + 1,814 377 + 378 + … + 599
Aliquot sequence: 108,824 99,496 87,074 62,614 31,310 27,442 13,724 11,140 12,296 12,004 9,010 8,486 4,246 2,738 1,483 1 0 — terminates at zero

Continued fraction of √n

√108,824 = [329; (1, 7, 1, 2, 6, 1, 1, 2, 32, 1, 1, 2, 6, 1, 1, 4, 1, 10, 1, 25, 2, 9, 1, 1, …)]

Representations

In words
one hundred eight thousand eight hundred twenty-four
Ordinal
108824th
Binary
11010100100011000
Octal
324430
Hexadecimal
0x1A918
Base64
AakY
One's complement
4,294,858,471 (32-bit)
Scientific notation
1.08824 × 10⁵
In other bases
ternary (3) 12112021112
quaternary (4) 122210120
quinary (5) 11440244
senary (6) 2155452
septenary (7) 632162
nonary (9) 175245
undecimal (11) 74841
duodecimal (12) 52b88
tridecimal (13) 3a6c1
tetradecimal (14) 2b932
pentadecimal (15) 2239e

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρηωκδʹ
Mayan (base 20)
𝋭·𝋬·𝋡·𝋤
Chinese
一十萬八千八百二十四
Chinese (financial)
壹拾萬捌仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٨٨٢٤ Devanagari १०८८२४ Bengali ১০৮৮২৪ Tamil ௧௦௮௮௨௪ Thai ๑๐๘๘๒๔ Tibetan ༡༠༨༨༢༤ Khmer ១០៨៨២៤ Lao ໑໐໘໘໒໔ Burmese ၁၀၈၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 108824, here are decompositions:

  • 3 + 108821 = 108824
  • 31 + 108793 = 108824
  • 73 + 108751 = 108824
  • 97 + 108727 = 108824
  • 181 + 108643 = 108824
  • 193 + 108631 = 108824
  • 271 + 108553 = 108824
  • 283 + 108541 = 108824

Showing the first eight; more decompositions exist.

Hex color
#01A918
RGB(1, 169, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.169.24.

Address
0.1.169.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.169.24

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 108,824 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 108824 first appears in π at position 607,093 of the decimal expansion (the 607,093ordinal-suffix:rd 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.