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10,824

10,824 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.).
Abundant Number Arithmetic Number Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
14 bits
Reversed
42,801
Recamán's sequence
a(174,611) = 10,824
Square (n²)
117,158,976
Cube (n³)
1,268,128,756,224
Divisor count
32
σ(n) — sum of divisors
30,240
φ(n) — Euler's totient
3,200
Sum of prime factors
61

Primality

Prime factorization: 2 3 × 3 × 11 × 41

Nearest primes: 10,799 (−25) · 10,831 (+7)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 11 · 12 · 22 · 24 · 33 · 41 · 44 · 66 · 82 · 88 · 123 · 132 · 164 · 246 · 264 · 328 · 451 · 492 · 902 · 984 · 1353 · 1804 · 2706 · 3608 · 5412 (half) · 10824
Aliquot sum (sum of proper divisors): 19,416
Factor pairs (a × b = 10,824)
1 × 10824
2 × 5412
3 × 3608
4 × 2706
6 × 1804
8 × 1353
11 × 984
12 × 902
22 × 492
24 × 451
33 × 328
41 × 264
44 × 246
66 × 164
82 × 132
88 × 123
First multiples
10,824 · 21,648 (double) · 32,472 · 43,296 · 54,120 · 64,944 · 75,768 · 86,592 · 97,416 · 108,240

Sums & aliquot sequence

As consecutive integers: 3,607 + 3,608 + 3,609 979 + 980 + … + 989 669 + 670 + … + 684 312 + 313 + … + 344
Aliquot sequence: 10,824 19,416 29,184 52,656 83,496 162,744 244,176 386,736 756,048 1,302,352 1,331,408 1,538,200 2,038,580 2,242,480 2,971,472 3,772,144 3,571,136 — unresolved within range

Representations

In words
ten thousand eight hundred twenty-four
Ordinal
10824th
Binary
10101001001000
Octal
25110
Hexadecimal
0x2A48
Base64
Kkg=
One's complement
54,711 (16-bit)
In other bases
ternary (3) 112211220
quaternary (4) 2221020
quinary (5) 321244
senary (6) 122040
septenary (7) 43362
nonary (9) 15756
undecimal (11) 8150
duodecimal (12) 6320
tridecimal (13) 4c08
tetradecimal (14) 3d32
pentadecimal (15) 3319

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 · 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιωκδʹ
Mayan (base 20)
𝋡·𝋧·𝋡·𝋤
Chinese
一萬零八百二十四
Chinese (financial)
壹萬零捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٨٢٤ Devanagari १०८२४ Bengali ১০৮২৪ Tamil ௧௦௮௨௪ Thai ๑๐๘๒๔ Tibetan ༡༠༨༢༤ Khmer ១០៨២៤ Lao ໑໐໘໒໔ Burmese ၁၀၈၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,824 = 8
e — Euler's number (e)
Digit 10,824 = 6
φ — Golden ratio (φ)
Digit 10,824 = 4
√2 — Pythagoras's (√2)
Digit 10,824 = 5
ln 2 — Natural log of 2
Digit 10,824 = 5
γ — Euler-Mascheroni (γ)
Digit 10,824 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10824, here are decompositions:

  • 43 + 10781 = 10824
  • 53 + 10771 = 10824
  • 71 + 10753 = 10824
  • 101 + 10723 = 10824
  • 113 + 10711 = 10824
  • 137 + 10687 = 10824
  • 157 + 10667 = 10824
  • 167 + 10657 = 10824

Showing the first eight; more decompositions exist.

Unicode codepoint
Union Above Bar Above Intersection
U+2A48
Math symbol (Sm)

UTF-8 encoding: E2 A9 88 (3 bytes).

Hex color
#002A48
RGB(0, 42, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.42.72.

Address
0.0.42.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.42.72

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Position in π

The digit sequence 10824 first appears in π at position 29,994 of the decimal expansion (the 29,994ordinal-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.