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21,684

21,684 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 Self Number Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
21
Digit product
384
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
48,612
Recamán's sequence
a(40,471) = 21,684
Square (n²)
470,195,856
Cube (n³)
10,195,726,941,504
Divisor count
24
σ(n) — sum of divisors
54,880
φ(n) — Euler's totient
6,624
Sum of prime factors
159

Primality

Prime factorization: 2 2 × 3 × 13 × 139

Nearest primes: 21,683 (−1) · 21,701 (+17)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 12 · 13 · 26 · 39 · 52 · 78 · 139 · 156 · 278 · 417 · 556 · 834 · 1668 · 1807 · 3614 · 5421 · 7228 · 10842 (half) · 21684
Aliquot sum (sum of proper divisors): 33,196
Factor pairs (a × b = 21,684)
1 × 21684
2 × 10842
3 × 7228
4 × 5421
6 × 3614
12 × 1807
13 × 1668
26 × 834
39 × 556
52 × 417
78 × 278
139 × 156
First multiples
21,684 · 43,368 (double) · 65,052 · 86,736 · 108,420 · 130,104 · 151,788 · 173,472 · 195,156 · 216,840

Sums & aliquot sequence

As consecutive integers: 7,227 + 7,228 + 7,229 2,707 + 2,708 + … + 2,714 1,662 + 1,663 + … + 1,674 892 + 893 + … + 915
Aliquot sequence: 21,684 33,196 26,556 35,436 47,276 37,396 28,054 18,062 11,530 9,242 4,624 4,893 2,595 1,581 723 245 97 — unresolved within range

Representations

In words
twenty-one thousand six hundred eighty-four
Ordinal
21684th
Binary
101010010110100
Octal
52264
Hexadecimal
0x54B4
Base64
VLQ=
One's complement
43,851 (16-bit)
In other bases
ternary (3) 1002202010
quaternary (4) 11102310
quinary (5) 1143214
senary (6) 244220
septenary (7) 120135
nonary (9) 32663
undecimal (11) 15323
duodecimal (12) 10670
tridecimal (13) 9b40
tetradecimal (14) 7c8c
pentadecimal (15) 6659

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καχπδʹ
Mayan (base 20)
𝋢·𝋮·𝋤·𝋤
Chinese
二萬一千六百八十四
Chinese (financial)
貳萬壹仟陸佰捌拾肆
In other modern scripts
Eastern Arabic ٢١٦٨٤ Devanagari २१६८४ Bengali ২১৬৮৪ Tamil ௨௧௬௮௪ Thai ๒๑๖๘๔ Tibetan ༢༡༦༨༤ Khmer ២១៦៨៤ Lao ໒໑໖໘໔ Burmese ၂၁၆၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,684 = 3
e — Euler's number (e)
Digit 21,684 = 9
φ — Golden ratio (φ)
Digit 21,684 = 4
√2 — Pythagoras's (√2)
Digit 21,684 = 6
ln 2 — Natural log of 2
Digit 21,684 = 5
γ — Euler-Mascheroni (γ)
Digit 21,684 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21684, here are decompositions:

  • 11 + 21673 = 21684
  • 23 + 21661 = 21684
  • 37 + 21647 = 21684
  • 67 + 21617 = 21684
  • 71 + 21613 = 21684
  • 73 + 21611 = 21684
  • 83 + 21601 = 21684
  • 97 + 21587 = 21684

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54B4
U+54B4
Other letter (Lo)

UTF-8 encoding: E5 92 B4 (3 bytes).

Hex color
#0054B4
RGB(0, 84, 180)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.180.

Address
0.0.84.180
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.180

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

Position in π

The digit sequence 21684 first appears in π at position 368,840 of the decimal expansion (the 368,840ordinal-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.