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20,384

20,384 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 Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
48,302
Recamán's sequence
a(86,448) = 20,384
Square (n²)
415,507,456
Cube (n³)
8,469,703,983,104
Divisor count
36
σ(n) — sum of divisors
50,274
φ(n) — Euler's totient
8,064
Sum of prime factors
37

Primality

Prime factorization: 2 5 × 7 2 × 13

Nearest primes: 20,369 (−15) · 20,389 (+5)

Divisors & multiples

All divisors (36)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 26 · 28 · 32 · 49 · 52 · 56 · 91 · 98 · 104 · 112 · 182 · 196 · 208 · 224 · 364 · 392 · 416 · 637 · 728 · 784 · 1274 · 1456 · 1568 · 2548 · 2912 · 5096 · 10192 (half) · 20384
Aliquot sum (sum of proper divisors): 29,890
Factor pairs (a × b = 20,384)
1 × 20384
2 × 10192
4 × 5096
7 × 2912
8 × 2548
13 × 1568
14 × 1456
16 × 1274
26 × 784
28 × 728
32 × 637
49 × 416
52 × 392
56 × 364
91 × 224
98 × 208
104 × 196
112 × 182
First multiples
20,384 · 40,768 (double) · 61,152 · 81,536 · 101,920 · 122,304 · 142,688 · 163,072 · 183,456 · 203,840

Sums & aliquot sequence

As a sum of two squares: 28² + 140²
As consecutive integers: 2,909 + 2,910 + … + 2,915 1,562 + 1,563 + … + 1,574 392 + 393 + … + 440 287 + 288 + … + 350
Aliquot sequence: 20,384 29,890 33,722 20,794 11,354 8,134 6,230 6,730 5,402 3,034 1,754 880 1,352 1,393 207 105 87 — unresolved within range

Representations

In words
twenty thousand three hundred eighty-four
Ordinal
20384th
Binary
100111110100000
Octal
47640
Hexadecimal
0x4FA0
Base64
T6A=
One's complement
45,151 (16-bit)
In other bases
ternary (3) 1000221222
quaternary (4) 10332200
quinary (5) 1123014
senary (6) 234212
septenary (7) 113300
nonary (9) 30858
undecimal (11) 14351
duodecimal (12) b968
tridecimal (13) 9380
tetradecimal (14) 7600
pentadecimal (15) 608e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κτπδʹ
Mayan (base 20)
𝋢·𝋪·𝋳·𝋤
Chinese
二萬零三百八十四
Chinese (financial)
貳萬零參佰捌拾肆
In other modern scripts
Eastern Arabic ٢٠٣٨٤ Devanagari २०३८४ Bengali ২০৩৮৪ Tamil ௨௦௩௮௪ Thai ๒๐๓๘๔ Tibetan ༢༠༣༨༤ Khmer ២០៣៨៤ Lao ໒໐໓໘໔ Burmese ၂၀၃၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,384 = 1
e — Euler's number (e)
Digit 20,384 = 3
φ — Golden ratio (φ)
Digit 20,384 = 0
√2 — Pythagoras's (√2)
Digit 20,384 = 8
ln 2 — Natural log of 2
Digit 20,384 = 5
γ — Euler-Mascheroni (γ)
Digit 20,384 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20384, here are decompositions:

  • 31 + 20353 = 20384
  • 37 + 20347 = 20384
  • 43 + 20341 = 20384
  • 61 + 20323 = 20384
  • 97 + 20287 = 20384
  • 151 + 20233 = 20384
  • 211 + 20173 = 20384
  • 223 + 20161 = 20384

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-4Fa0
U+4FA0
Other letter (Lo)

UTF-8 encoding: E4 BE A0 (3 bytes).

Hex color
#004FA0
RGB(0, 79, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.79.160.

Address
0.0.79.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.79.160

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

Position in π

The digit sequence 20384 first appears in π at position 272,272 of the decimal expansion (the 272,272ordinal-suffix:nd 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.