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13,824

13,824 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 Evil Number Happy Number Harshad / Niven Perfect Cube Powerful Number Practical Number Recamán's Sequence Semiperfect Number Zuckerman Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
14 bits
Reversed
42,831
Recamán's sequence
a(21,068) = 13,824
Square (n²)
191,102,976
Cube (n³)
2,641,807,540,224
Cube root (∛n)
24
Divisor count
40
σ(n) — sum of divisors
40,920
φ(n) — Euler's totient
4,608
Sum of prime factors
27

Primality

Prime factorization: 2 9 × 3 3

Nearest primes: 13,807 (−17) · 13,829 (+5)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 32 · 36 · 48 · 54 · 64 · 72 · 96 · 108 · 128 · 144 · 192 · 216 · 256 · 288 · 384 · 432 · 512 · 576 · 768 · 864 · 1152 · 1536 · 1728 · 2304 · 3456 · 4608 · 6912 (half) · 13824
Aliquot sum (sum of proper divisors): 27,096
Factor pairs (a × b = 13,824)
1 × 13824
2 × 6912
3 × 4608
4 × 3456
6 × 2304
8 × 1728
9 × 1536
12 × 1152
16 × 864
18 × 768
24 × 576
27 × 512
32 × 432
36 × 384
48 × 288
54 × 256
64 × 216
72 × 192
96 × 144
108 × 128
First multiples
13,824 · 27,648 (double) · 41,472 · 55,296 · 69,120 · 82,944 · 96,768 · 110,592 · 124,416 · 138,240

Sums & aliquot sequence

As consecutive integers: 4,607 + 4,608 + 4,609 1,532 + 1,533 + … + 1,540 499 + 500 + … + 525
Aliquot sequence: 13,824 27,096 40,704 69,672 104,568 156,912 307,344 530,896 497,746 253,358 180,994 131,486 72,634 41,126 20,566 17,738 13,384 — unresolved within range

Representations

In words
thirteen thousand eight hundred twenty-four
Ordinal
13824th
Binary
11011000000000
Octal
33000
Hexadecimal
0x3600
Base64
NgA=
One's complement
51,711 (16-bit)
In other bases
ternary (3) 200222000
quaternary (4) 3120000
quinary (5) 420244
senary (6) 144000
septenary (7) 55206
nonary (9) 20860
undecimal (11) a428
duodecimal (12) 8000
tridecimal (13) 63a5
tetradecimal (14) 5076
pentadecimal (15) 4169

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ιγωκδʹ
Mayan (base 20)
𝋡·𝋮·𝋫·𝋤
Chinese
一萬三千八百二十四
Chinese (financial)
壹萬參仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٨٢٤ Devanagari १३८२४ Bengali ১৩৮২৪ Tamil ௧௩௮௨௪ Thai ๑๓๘๒๔ Tibetan ༡༣༨༢༤ Khmer ១៣៨២៤ Lao ໑໓໘໒໔ Burmese ၁၃၈၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 13,824 = 7
e — Euler's number (e)
Digit 13,824 = 4
φ — Golden ratio (φ)
Digit 13,824 = 7
√2 — Pythagoras's (√2)
Digit 13,824 = 4
ln 2 — Natural log of 2
Digit 13,824 = 2
γ — Euler-Mascheroni (γ)
Digit 13,824 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 13824, here are decompositions:

  • 17 + 13807 = 13824
  • 43 + 13781 = 13824
  • 61 + 13763 = 13824
  • 67 + 13757 = 13824
  • 73 + 13751 = 13824
  • 101 + 13723 = 13824
  • 103 + 13721 = 13824
  • 113 + 13711 = 13824

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-3600
U+3600
Other letter (Lo)

UTF-8 encoding: E3 98 80 (3 bytes).

Hex color
#003600
RGB(0, 54, 0)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.54.0.

Address
0.0.54.0
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.54.0

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

Position in π

The digit sequence 13824 first appears in π at position 186,286 of the decimal expansion (the 186,286ordinal-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.