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13,224

13,224 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 Arithmetic Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
12
Digit product
48
Digital root
3
Palindrome
No
Bit width
14 bits
Reversed
42,231
Recamán's sequence
a(47,827) = 13,224
Square (n²)
174,874,176
Cube (n³)
2,312,536,103,424
Divisor count
32
σ(n) — sum of divisors
36,000
φ(n) — Euler's totient
4,032
Sum of prime factors
57

Primality

Prime factorization: 2 3 × 3 × 19 × 29

Nearest primes: 13,219 (−5) · 13,229 (+5)

Divisors & multiples

All divisors (32)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 19 · 24 · 29 · 38 · 57 · 58 · 76 · 87 · 114 · 116 · 152 · 174 · 228 · 232 · 348 · 456 · 551 · 696 · 1102 · 1653 · 2204 · 3306 · 4408 · 6612 (half) · 13224
Aliquot sum (sum of proper divisors): 22,776
Factor pairs (a × b = 13,224)
1 × 13224
2 × 6612
3 × 4408
4 × 3306
6 × 2204
8 × 1653
12 × 1102
19 × 696
24 × 551
29 × 456
38 × 348
57 × 232
58 × 228
76 × 174
87 × 152
114 × 116
First multiples
13,224 · 26,448 (double) · 39,672 · 52,896 · 66,120 · 79,344 · 92,568 · 105,792 · 119,016 · 132,240

Sums & aliquot sequence

As consecutive integers: 4,407 + 4,408 + 4,409 819 + 820 + … + 834 687 + 688 + … + 705 442 + 443 + … + 470
Aliquot sequence: 13,224 22,776 39,384 67,476 89,996 69,604 52,210 46,286 23,146 12,278 8,794 4,400 7,132 5,356 4,836 7,708 6,404 — unresolved within range

Representations

In words
thirteen thousand two hundred twenty-four
Ordinal
13224th
Binary
11001110101000
Octal
31650
Hexadecimal
0x33A8
Base64
M6g=
One's complement
52,311 (16-bit)
In other bases
ternary (3) 200010210
quaternary (4) 3032220
quinary (5) 410344
senary (6) 141120
septenary (7) 53361
nonary (9) 20123
undecimal (11) 9a32
duodecimal (12) 77a0
tridecimal (13) 6033
tetradecimal (14) 4b68
pentadecimal (15) 3db9

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγσκδʹ
Mayan (base 20)
𝋡·𝋭·𝋡·𝋤
Chinese
一萬三千二百二十四
Chinese (financial)
壹萬參仟貳佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٢٢٤ Devanagari १३२२४ Bengali ১৩২২৪ Tamil ௧௩௨௨௪ Thai ๑๓๒๒๔ Tibetan ༡༣༢༢༤ Khmer ១៣២២៤ Lao ໑໓໒໒໔ Burmese ၁၃၂၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,224 = 5
e — Euler's number (e)
Digit 13,224 = 3
φ — Golden ratio (φ)
Digit 13,224 = 9
√2 — Pythagoras's (√2)
Digit 13,224 = 1
ln 2 — Natural log of 2
Digit 13,224 = 0
γ — Euler-Mascheroni (γ)
Digit 13,224 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13224, here are decompositions:

  • 5 + 13219 = 13224
  • 7 + 13217 = 13224
  • 37 + 13187 = 13224
  • 41 + 13183 = 13224
  • 47 + 13177 = 13224
  • 53 + 13171 = 13224
  • 61 + 13163 = 13224
  • 73 + 13151 = 13224

Showing the first eight; more decompositions exist.

Unicode codepoint
Square M Over S Squared
U+33A8
Other symbol (So)

UTF-8 encoding: E3 8E A8 (3 bytes).

Hex color
#0033A8
RGB(0, 51, 168)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.51.168.

Address
0.0.51.168
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.51.168

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

Position in π

The digit sequence 13224 first appears in π at position 32,779 of the decimal expansion (the 32,779ordinal-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.