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21,408

21,408 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 Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
80,412
Recamán's sequence
a(41,023) = 21,408
Square (n²)
458,302,464
Cube (n³)
9,811,339,149,312
Divisor count
24
σ(n) — sum of divisors
56,448
φ(n) — Euler's totient
7,104
Sum of prime factors
236

Primality

Prime factorization: 2 5 × 3 × 223

Nearest primes: 21,407 (−1) · 21,419 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 223 · 446 · 669 · 892 · 1338 · 1784 · 2676 · 3568 · 5352 · 7136 · 10704 (half) · 21408
Aliquot sum (sum of proper divisors): 35,040
Factor pairs (a × b = 21,408)
1 × 21408
2 × 10704
3 × 7136
4 × 5352
6 × 3568
8 × 2676
12 × 1784
16 × 1338
24 × 892
32 × 669
48 × 446
96 × 223
First multiples
21,408 · 42,816 (double) · 64,224 · 85,632 · 107,040 · 128,448 · 149,856 · 171,264 · 192,672 · 214,080

Sums & aliquot sequence

As consecutive integers: 7,135 + 7,136 + 7,137 303 + 304 + … + 366 16 + 17 + … + 207
Aliquot sequence: 21,408 35,040 76,848 121,800 324,600 683,520 1,526,160 3,205,680 7,565,952 15,200,448 27,392,304 47,535,936 97,939,008 184,560,300 441,024,660 922,020,660 2,171,309,580 — unresolved within range

Representations

In words
twenty-one thousand four hundred eight
Ordinal
21408th
Binary
101001110100000
Octal
51640
Hexadecimal
0x53A0
Base64
U6A=
One's complement
44,127 (16-bit)
In other bases
ternary (3) 1002100220
quaternary (4) 11032200
quinary (5) 1141113
senary (6) 243040
septenary (7) 116262
nonary (9) 32326
undecimal (11) 150a2
duodecimal (12) 10480
tridecimal (13) 998a
tetradecimal (14) 7b32
pentadecimal (15) 6523

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καυηʹ
Mayan (base 20)
𝋢·𝋭·𝋪·𝋨
Chinese
二萬一千四百零八
Chinese (financial)
貳萬壹仟肆佰零捌
In other modern scripts
Eastern Arabic ٢١٤٠٨ Devanagari २१४०८ Bengali ২১৪০৮ Tamil ௨௧௪௦௮ Thai ๒๑๔๐๘ Tibetan ༢༡༤༠༨ Khmer ២១៤០៨ Lao ໒໑໔໐໘ Burmese ၂၁၄၀၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,408 = 5
e — Euler's number (e)
Digit 21,408 = 4
φ — Golden ratio (φ)
Digit 21,408 = 9
√2 — Pythagoras's (√2)
Digit 21,408 = 4
ln 2 — Natural log of 2
Digit 21,408 = 4
γ — Euler-Mascheroni (γ)
Digit 21,408 = 6

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21408, here are decompositions:

  • 7 + 21401 = 21408
  • 11 + 21397 = 21408
  • 17 + 21391 = 21408
  • 29 + 21379 = 21408
  • 31 + 21377 = 21408
  • 61 + 21347 = 21408
  • 67 + 21341 = 21408
  • 89 + 21319 = 21408

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-53A0
U+53A0
Other letter (Lo)

UTF-8 encoding: E5 8E A0 (3 bytes).

Hex color
#0053A0
RGB(0, 83, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.83.160.

Address
0.0.83.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.83.160

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

Position in π

The digit sequence 21408 first appears in π at position 8,433 of the decimal expansion (the 8,433ordinal-suffix:rd 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.