number.wiki
Live analysis

21,984

21,984 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 Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
24
Digit product
576
Digital root
6
Palindrome
No
Bit width
15 bits
Reversed
48,912
Recamán's sequence
a(167,795) = 21,984
Square (n²)
483,296,256
Cube (n³)
10,624,784,891,904
Divisor count
24
σ(n) — sum of divisors
57,960
φ(n) — Euler's totient
7,296
Sum of prime factors
242

Primality

Prime factorization: 2 5 × 3 × 229

Nearest primes: 21,977 (−7) · 21,991 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 24 · 32 · 48 · 96 · 229 · 458 · 687 · 916 · 1374 · 1832 · 2748 · 3664 · 5496 · 7328 · 10992 (half) · 21984
Aliquot sum (sum of proper divisors): 35,976
Factor pairs (a × b = 21,984)
1 × 21984
2 × 10992
3 × 7328
4 × 5496
6 × 3664
8 × 2748
12 × 1832
16 × 1374
24 × 916
32 × 687
48 × 458
96 × 229
First multiples
21,984 · 43,968 (double) · 65,952 · 87,936 · 109,920 · 131,904 · 153,888 · 175,872 · 197,856 · 219,840

Sums & aliquot sequence

As consecutive integers: 7,327 + 7,328 + 7,329 312 + 313 + … + 375 19 + 20 + … + 210
Aliquot sequence: 21,984 35,976 54,024 81,096 130,104 252,096 473,328 929,112 1,393,728 3,141,696 5,171,216 4,848,046 3,750,194 2,886,862 1,837,130 1,469,722 745,178 — unresolved within range

Representations

In words
twenty-one thousand nine hundred eighty-four
Ordinal
21984th
Binary
101010111100000
Octal
52740
Hexadecimal
0x55E0
Base64
VeA=
One's complement
43,551 (16-bit)
In other bases
ternary (3) 1010011020
quaternary (4) 11113200
quinary (5) 1200414
senary (6) 245440
septenary (7) 121044
nonary (9) 33136
undecimal (11) 15576
duodecimal (12) 10880
tridecimal (13) a011
tetradecimal (14) 8024
pentadecimal (15) 67a9

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καϡπδʹ
Mayan (base 20)
𝋢·𝋮·𝋳·𝋤
Chinese
二萬一千九百八十四
Chinese (financial)
貳萬壹仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ٢١٩٨٤ Devanagari २१९८४ Bengali ২১৯৮৪ Tamil ௨௧௯௮௪ Thai ๒๑๙๘๔ Tibetan ༢༡༩༨༤ Khmer ២១៩៨៤ Lao ໒໑໙໘໔ Burmese ၂၁၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 21,984 = 3
e — Euler's number (e)
Digit 21,984 = 4
φ — Golden ratio (φ)
Digit 21,984 = 8
√2 — Pythagoras's (√2)
Digit 21,984 = 3
ln 2 — Natural log of 2
Digit 21,984 = 9
γ — Euler-Mascheroni (γ)
Digit 21,984 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21984, here are decompositions:

  • 7 + 21977 = 21984
  • 23 + 21961 = 21984
  • 41 + 21943 = 21984
  • 47 + 21937 = 21984
  • 73 + 21911 = 21984
  • 103 + 21881 = 21984
  • 113 + 21871 = 21984
  • 163 + 21821 = 21984

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-55E0
U+55E0
Other letter (Lo)

UTF-8 encoding: E5 97 A0 (3 bytes).

Hex color
#0055E0
RGB(0, 85, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.224.

Address
0.0.85.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.224

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

Position in π

The digit sequence 21984 first appears in π at position 27,591 of the decimal expansion (the 27,591ordinal-suffix:st 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.