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10,224

10,224 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 Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
42,201
Recamán's sequence
a(5,707) = 10,224
Square (n²)
104,530,176
Cube (n³)
1,068,716,519,424
Divisor count
30
σ(n) — sum of divisors
29,016
φ(n) — Euler's totient
3,360
Sum of prime factors
85

Primality

Prime factorization: 2 4 × 3 2 × 71

Nearest primes: 10,223 (−1) · 10,243 (+19)

Divisors & multiples

All divisors (30)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 36 · 48 · 71 · 72 · 142 · 144 · 213 · 284 · 426 · 568 · 639 · 852 · 1136 · 1278 · 1704 · 2556 · 3408 · 5112 (half) · 10224
Aliquot sum (sum of proper divisors): 18,792
Factor pairs (a × b = 10,224)
1 × 10224
2 × 5112
3 × 3408
4 × 2556
6 × 1704
8 × 1278
9 × 1136
12 × 852
16 × 639
18 × 568
24 × 426
36 × 284
48 × 213
71 × 144
72 × 142
First multiples
10,224 · 20,448 (double) · 30,672 · 40,896 · 51,120 · 61,344 · 71,568 · 81,792 · 92,016 · 102,240

Sums & aliquot sequence

As consecutive integers: 3,407 + 3,408 + 3,409 1,132 + 1,133 + … + 1,140 304 + 305 + … + 335 109 + 110 + … + 179
Aliquot sequence: 10,224 18,792 35,658 52,950 78,738 93,198 124,314 124,326 145,086 145,098 177,462 207,078 207,090 397,710 673,866 823,734 961,062 — unresolved within range

Representations

In words
ten thousand two hundred twenty-four
Ordinal
10224th
Binary
10011111110000
Octal
23760
Hexadecimal
0x27F0
Base64
J/A=
One's complement
55,311 (16-bit)
In other bases
ternary (3) 112000200
quaternary (4) 2133300
quinary (5) 311344
senary (6) 115200
septenary (7) 41544
nonary (9) 15020
undecimal (11) 7755
duodecimal (12) 5b00
tridecimal (13) 4866
tetradecimal (14) 3a24
pentadecimal (15) 3069

Historical numeral systems

Babylonian (base 60)
𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ισκδʹ
Mayan (base 20)
𝋡·𝋥·𝋫·𝋤
Chinese
一萬零二百二十四
Chinese (financial)
壹萬零貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٠٢٢٤ Devanagari १०२२४ Bengali ১০২২৪ Tamil ௧௦௨௨௪ Thai ๑๐๒๒๔ Tibetan ༡༠༢༢༤ Khmer ១០២២៤ Lao ໑໐໒໒໔ Burmese ၁၀၂၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 10,224 = 3
e — Euler's number (e)
Digit 10,224 = 9
φ — Golden ratio (φ)
Digit 10,224 = 5
√2 — Pythagoras's (√2)
Digit 10,224 = 1
ln 2 — Natural log of 2
Digit 10,224 = 9
γ — Euler-Mascheroni (γ)
Digit 10,224 = 7

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 10224, here are decompositions:

  • 13 + 10211 = 10224
  • 31 + 10193 = 10224
  • 43 + 10181 = 10224
  • 47 + 10177 = 10224
  • 61 + 10163 = 10224
  • 73 + 10151 = 10224
  • 83 + 10141 = 10224
  • 113 + 10111 = 10224

Showing the first eight; more decompositions exist.

Unicode codepoint
Upwards Quadruple Arrow
U+27F0
Math symbol (Sm)

UTF-8 encoding: E2 9F B0 (3 bytes).

Hex color
#0027F0
RGB(0, 39, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.39.240.

Address
0.0.39.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.39.240

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

Position in π

The digit sequence 10224 first appears in π at position 97,621 of the decimal expansion (the 97,621ordinal-suffix:st 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.