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21,840

21,840 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 Evil Number Gapful Number Harshad / Niven Practical Number Recamán's Sequence Weird Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
4,812
Recamán's sequence
a(168,083) = 21,840
Square (n²)
476,985,600
Cube (n³)
10,417,365,504,000
Divisor count
80
σ(n) — sum of divisors
83,328
φ(n) — Euler's totient
4,608
Sum of prime factors
36

Primality

Prime factorization: 2 4 × 3 × 5 × 7 × 13

Nearest primes: 21,839 (−1) · 21,841 (+1)

Divisors & multiples

All divisors (80)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 13 · 14 · 15 · 16 · 20 · 21 · 24 · 26 · 28 · 30 · 35 · 39 · 40 · 42 · 48 · 52 · 56 · 60 · 65 · 70 · 78 · 80 · 84 · 91 · 104 · 105 · 112 · 120 · 130 · 140 · 156 · 168 · 182 · 195 · 208 · 210 · 240 · 260 · 273 · 280 · 312 · 336 · 364 · 390 · 420 · 455 · 520 · 546 · 560 · 624 · 728 · 780 · 840 · 910 · 1040 · 1092 · 1365 · 1456 · 1560 · 1680 · 1820 · 2184 · 2730 · 3120 · 3640 · 4368 · 5460 · 7280 · 10920 (half) · 21840
Aliquot sum (sum of proper divisors): 61,488
Factor pairs (a × b = 21,840)
1 × 21840
2 × 10920
3 × 7280
4 × 5460
5 × 4368
6 × 3640
7 × 3120
8 × 2730
10 × 2184
12 × 1820
13 × 1680
14 × 1560
15 × 1456
16 × 1365
20 × 1092
21 × 1040
24 × 910
26 × 840
28 × 780
30 × 728
35 × 624
39 × 560
40 × 546
42 × 520
48 × 455
52 × 420
56 × 390
60 × 364
65 × 336
70 × 312
78 × 280
80 × 273
84 × 260
91 × 240
104 × 210
105 × 208
112 × 195
120 × 182
130 × 168
140 × 156
First multiples
21,840 · 43,680 (double) · 65,520 · 87,360 · 109,200 · 131,040 · 152,880 · 174,720 · 196,560 · 218,400

Sums & aliquot sequence

As consecutive integers: 7,279 + 7,280 + 7,281 4,366 + 4,367 + 4,368 + 4,369 + 4,370 3,117 + 3,118 + … + 3,123 1,674 + 1,675 + … + 1,686
Aliquot sequence: 21,840 61,488 138,400 201,422 131,890 131,450 136,390 120,218 93,286 46,646 24,418 13,562 6,784 6,986 5,014 2,906 1,456 — unresolved within range

Representations

In words
twenty-one thousand eight hundred forty
Ordinal
21840th
Binary
101010101010000
Octal
52520
Hexadecimal
0x5550
Base64
VVA=
One's complement
43,695 (16-bit)
In other bases
ternary (3) 1002221220
quaternary (4) 11111100
quinary (5) 1144330
senary (6) 245040
septenary (7) 120450
nonary (9) 32856
undecimal (11) 15455
duodecimal (12) 10780
tridecimal (13) 9c30
tetradecimal (14) 7d60
pentadecimal (15) 6710

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆
Greek (Milesian)
͵καωμʹ
Mayan (base 20)
𝋢·𝋮·𝋬·𝋠
Chinese
二萬一千八百四十
Chinese (financial)
貳萬壹仟捌佰肆拾
In other modern scripts
Eastern Arabic ٢١٨٤٠ Devanagari २१८४० Bengali ২১৮৪০ Tamil ௨௧௮௪௦ Thai ๒๑๘๔๐ Tibetan ༢༡༨༤༠ Khmer ២១៨៤០ Lao ໒໑໘໔໐ Burmese ၂၁၈၄၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,840 = 0
e — Euler's number (e)
Digit 21,840 = 8
φ — Golden ratio (φ)
Digit 21,840 = 2
√2 — Pythagoras's (√2)
Digit 21,840 = 2
ln 2 — Natural log of 2
Digit 21,840 = 8
γ — Euler-Mascheroni (γ)
Digit 21,840 = 2

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21840, here are decompositions:

  • 19 + 21821 = 21840
  • 23 + 21817 = 21840
  • 37 + 21803 = 21840
  • 41 + 21799 = 21840
  • 53 + 21787 = 21840
  • 67 + 21773 = 21840
  • 73 + 21767 = 21840
  • 83 + 21757 = 21840

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5550
U+5550
Other letter (Lo)

UTF-8 encoding: E5 95 90 (3 bytes).

Hex color
#005550
RGB(0, 85, 80)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.80.

Address
0.0.85.80
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.80

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

Position in π

The digit sequence 21840 first appears in π at position 18,372 of the decimal expansion (the 18,372ordinal-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.