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21,084

21,084 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 Odious Number Pernicious 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
48,012
Recamán's sequence
a(41,671) = 21,084
Square (n²)
444,535,056
Cube (n³)
9,372,577,120,704
Divisor count
24
σ(n) — sum of divisors
56,448
φ(n) — Euler's totient
6,000
Sum of prime factors
265

Primality

Prime factorization: 2 2 × 3 × 7 × 251

Nearest primes: 21,067 (−17) · 21,089 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 7 · 12 · 14 · 21 · 28 · 42 · 84 · 251 · 502 · 753 · 1004 · 1506 · 1757 · 3012 · 3514 · 5271 · 7028 · 10542 (half) · 21084
Aliquot sum (sum of proper divisors): 35,364
Factor pairs (a × b = 21,084)
1 × 21084
2 × 10542
3 × 7028
4 × 5271
6 × 3514
7 × 3012
12 × 1757
14 × 1506
21 × 1004
28 × 753
42 × 502
84 × 251
First multiples
21,084 · 42,168 (double) · 63,252 · 84,336 · 105,420 · 126,504 · 147,588 · 168,672 · 189,756 · 210,840

Sums & aliquot sequence

As consecutive integers: 7,027 + 7,028 + 7,029 3,009 + 3,010 + … + 3,015 2,632 + 2,633 + … + 2,639 994 + 995 + … + 1,014
Aliquot sequence: 21,084 35,364 59,164 59,220 150,444 297,556 297,612 562,884 938,364 1,564,164 3,072,636 5,969,124 11,275,740 31,194,660 75,258,204 131,911,332 227,916,444 — unresolved within range

Representations

In words
twenty-one thousand eighty-four
Ordinal
21084th
Binary
101001001011100
Octal
51134
Hexadecimal
0x525C
Base64
Ulw=
One's complement
44,451 (16-bit)
In other bases
ternary (3) 1001220220
quaternary (4) 11021130
quinary (5) 1133314
senary (6) 241340
septenary (7) 115320
nonary (9) 31826
undecimal (11) 14928
duodecimal (12) 10250
tridecimal (13) 979b
tetradecimal (14) 7980
pentadecimal (15) 63a9

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καπδʹ
Mayan (base 20)
𝋢·𝋬·𝋮·𝋤
Chinese
二萬一千零八十四
Chinese (financial)
貳萬壹仟零捌拾肆
In other modern scripts
Eastern Arabic ٢١٠٨٤ Devanagari २१०८४ Bengali ২১০৮৪ Tamil ௨௧௦௮௪ Thai ๒๑๐๘๔ Tibetan ༢༡༠༨༤ Khmer ២១០៨៤ Lao ໒໑໐໘໔ Burmese ၂၁၀၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,084 = 4
e — Euler's number (e)
Digit 21,084 = 1
φ — Golden ratio (φ)
Digit 21,084 = 1
√2 — Pythagoras's (√2)
Digit 21,084 = 9
ln 2 — Natural log of 2
Digit 21,084 = 6
γ — Euler-Mascheroni (γ)
Digit 21,084 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21084, here are decompositions:

  • 17 + 21067 = 21084
  • 23 + 21061 = 21084
  • 53 + 21031 = 21084
  • 61 + 21023 = 21084
  • 67 + 21017 = 21084
  • 71 + 21013 = 21084
  • 73 + 21011 = 21084
  • 83 + 21001 = 21084

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-525C
U+525C
Other letter (Lo)

UTF-8 encoding: E5 89 9C (3 bytes).

Hex color
#00525C
RGB(0, 82, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.92.

Address
0.0.82.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.92

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

Position in π

The digit sequence 21084 first appears in π at position 15,926 of the decimal expansion (the 15,926ordinal-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.