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21,728

21,728 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 Practical Number Recamán's Sequence Semiperfect Number Zuckerman Number

Properties

Parity
Even
Digit count
5
Digit sum
20
Digit product
224
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
82,712
Recamán's sequence
a(40,383) = 21,728
Square (n²)
472,105,984
Cube (n³)
10,257,918,820,352
Divisor count
24
σ(n) — sum of divisors
49,392
φ(n) — Euler's totient
9,216
Sum of prime factors
114

Primality

Prime factorization: 2 5 × 7 × 97

Nearest primes: 21,727 (−1) · 21,737 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 32 · 56 · 97 · 112 · 194 · 224 · 388 · 679 · 776 · 1358 · 1552 · 2716 · 3104 · 5432 · 10864 (half) · 21728
Aliquot sum (sum of proper divisors): 27,664
Factor pairs (a × b = 21,728)
1 × 21728
2 × 10864
4 × 5432
7 × 3104
8 × 2716
14 × 1552
16 × 1358
28 × 776
32 × 679
56 × 388
97 × 224
112 × 194
First multiples
21,728 · 43,456 (double) · 65,184 · 86,912 · 108,640 · 130,368 · 152,096 · 173,824 · 195,552 · 217,280

Sums & aliquot sequence

As consecutive integers: 3,101 + 3,102 + … + 3,107 308 + 309 + … + 371 176 + 177 + … + 272
Aliquot sequence: 21,728 27,664 41,776 50,976 100,224 205,776 370,514 194,554 100,826 64,198 32,102 22,954 13,046 8,338 5,342 2,674 1,934 — unresolved within range

Representations

In words
twenty-one thousand seven hundred twenty-eight
Ordinal
21728th
Binary
101010011100000
Octal
52340
Hexadecimal
0x54E0
Base64
VOA=
One's complement
43,807 (16-bit)
In other bases
ternary (3) 1002210202
quaternary (4) 11103200
quinary (5) 1143403
senary (6) 244332
septenary (7) 120230
nonary (9) 32722
undecimal (11) 15363
duodecimal (12) 106a8
tridecimal (13) 9b75
tetradecimal (14) 7cc0
pentadecimal (15) 6688

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καψκηʹ
Mayan (base 20)
𝋢·𝋮·𝋦·𝋨
Chinese
二萬一千七百二十八
Chinese (financial)
貳萬壹仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ٢١٧٢٨ Devanagari २१७२८ Bengali ২১৭২৮ Tamil ௨௧௭௨௮ Thai ๒๑๗๒๘ Tibetan ༢༡༧༢༨ Khmer ២១៧២៨ Lao ໒໑໗໒໘ Burmese ၂၁၇၂၈

Digit at this position in famous constants

π — Pi (π)
Digit 21,728 = 7
e — Euler's number (e)
Digit 21,728 = 4
φ — Golden ratio (φ)
Digit 21,728 = 5
√2 — Pythagoras's (√2)
Digit 21,728 = 6
ln 2 — Natural log of 2
Digit 21,728 = 5
γ — Euler-Mascheroni (γ)
Digit 21,728 = 3

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21728, here are decompositions:

  • 67 + 21661 = 21728
  • 79 + 21649 = 21728
  • 127 + 21601 = 21728
  • 139 + 21589 = 21728
  • 151 + 21577 = 21728
  • 199 + 21529 = 21728
  • 211 + 21517 = 21728
  • 229 + 21499 = 21728

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-54E0
U+54E0
Other letter (Lo)

UTF-8 encoding: E5 93 A0 (3 bytes).

Hex color
#0054E0
RGB(0, 84, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.84.224.

Address
0.0.84.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.84.224

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

Position in π

The digit sequence 21728 first appears in π at position 346,086 of the decimal expansion (the 346,086ordinal-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.