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21,384

21,384 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 Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
18
Digit product
192
Digital root
9
Palindrome
No
Bit width
15 bits
Reversed
48,312
Recamán's sequence
a(41,071) = 21,384
Square (n²)
457,275,456
Cube (n³)
9,778,378,351,104
Divisor count
48
σ(n) — sum of divisors
65,520
φ(n) — Euler's totient
6,480
Sum of prime factors
32

Primality

Prime factorization: 2 3 × 3 5 × 11

Nearest primes: 21,383 (−1) · 21,391 (+7)

Divisors & multiples

All divisors (48)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 11 · 12 · 18 · 22 · 24 · 27 · 33 · 36 · 44 · 54 · 66 · 72 · 81 · 88 · 99 · 108 · 132 · 162 · 198 · 216 · 243 · 264 · 297 · 324 · 396 · 486 · 594 · 648 · 792 · 891 · 972 · 1188 · 1782 · 1944 · 2376 · 2673 · 3564 · 5346 · 7128 · 10692 (half) · 21384
Aliquot sum (sum of proper divisors): 44,136
Factor pairs (a × b = 21,384)
1 × 21384
2 × 10692
3 × 7128
4 × 5346
6 × 3564
8 × 2673
9 × 2376
11 × 1944
12 × 1782
18 × 1188
22 × 972
24 × 891
27 × 792
33 × 648
36 × 594
44 × 486
54 × 396
66 × 324
72 × 297
81 × 264
88 × 243
99 × 216
108 × 198
132 × 162
First multiples
21,384 · 42,768 (double) · 64,152 · 85,536 · 106,920 · 128,304 · 149,688 · 171,072 · 192,456 · 213,840

Sums & aliquot sequence

As consecutive integers: 7,127 + 7,128 + 7,129 2,372 + 2,373 + … + 2,380 1,939 + 1,940 + … + 1,949 1,329 + 1,330 + … + 1,344
Aliquot sequence: 21,384 44,136 75,594 79,638 92,058 95,622 95,634 180,846 246,834 381,006 460,458 562,902 612,138 612,150 1,316,298 1,350,582 1,509,690 — unresolved within range

Representations

In words
twenty-one thousand three hundred eighty-four
Ordinal
21384th
Binary
101001110001000
Octal
51610
Hexadecimal
0x5388
Base64
U4g=
One's complement
44,151 (16-bit)
In other bases
ternary (3) 1002100000
quaternary (4) 11032020
quinary (5) 1141014
senary (6) 243000
septenary (7) 116226
nonary (9) 32300
undecimal (11) 15080
duodecimal (12) 10460
tridecimal (13) 996c
tetradecimal (14) 7b16
pentadecimal (15) 6509

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κατπδʹ
Mayan (base 20)
𝋢·𝋭·𝋩·𝋤
Chinese
二萬一千三百八十四
Chinese (financial)
貳萬壹仟參佰捌拾肆
In other modern scripts
Eastern Arabic ٢١٣٨٤ Devanagari २१३८४ Bengali ২১৩৮৪ Tamil ௨௧௩௮௪ Thai ๒๑๓๘๔ Tibetan ༢༡༣༨༤ Khmer ២១៣៨៤ Lao ໒໑໓໘໔ Burmese ၂၁၃၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,384 = 8
e — Euler's number (e)
Digit 21,384 = 3
φ — Golden ratio (φ)
Digit 21,384 = 9
√2 — Pythagoras's (√2)
Digit 21,384 = 2
ln 2 — Natural log of 2
Digit 21,384 = 5
γ — Euler-Mascheroni (γ)
Digit 21,384 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21384, here are decompositions:

  • 5 + 21379 = 21384
  • 7 + 21377 = 21384
  • 37 + 21347 = 21384
  • 43 + 21341 = 21384
  • 61 + 21323 = 21384
  • 67 + 21317 = 21384
  • 71 + 21313 = 21384
  • 101 + 21283 = 21384

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5388
U+5388
Other letter (Lo)

UTF-8 encoding: E5 8E 88 (3 bytes).

Hex color
#005388
RGB(0, 83, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.136.

Address
0.0.83.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.136

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

Position in π

The digit sequence 21384 first appears in π at position 380 of the decimal expansion (the 380ordinal-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.