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20,984

20,984 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.).
Deficient Number Evil Number Recamán's Sequence

Properties

Parity
Even
Digit count
5
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
48,902
Recamán's sequence
a(41,871) = 20,984
Square (n²)
440,328,256
Cube (n³)
9,239,848,123,904
Divisor count
16
σ(n) — sum of divisors
40,920
φ(n) — Euler's totient
10,080
Sum of prime factors
110

Primality

Prime factorization: 2 3 × 43 × 61

Nearest primes: 20,983 (−1) · 21,001 (+17)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 43 · 61 · 86 · 122 · 172 · 244 · 344 · 488 · 2623 · 5246 · 10492 (half) · 20984
Aliquot sum (sum of proper divisors): 19,936
Factor pairs (a × b = 20,984)
1 × 20984
2 × 10492
4 × 5246
8 × 2623
43 × 488
61 × 344
86 × 244
122 × 172
First multiples
20,984 · 41,968 (double) · 62,952 · 83,936 · 104,920 · 125,904 · 146,888 · 167,872 · 188,856 · 209,840

Sums & aliquot sequence

As consecutive integers: 1,304 + 1,305 + … + 1,319 467 + 468 + … + 509 314 + 315 + … + 374
Aliquot sequence: 20,984 19,936 25,424 31,120 41,420 50,980 56,120 77,800 103,550 101,050 95,366 51,298 31,610 27,790 29,522 16,378 9,542 — unresolved within range

Representations

In words
twenty thousand nine hundred eighty-four
Ordinal
20984th
Binary
101000111111000
Octal
50770
Hexadecimal
0x51F8
Base64
Ufg=
One's complement
44,551 (16-bit)
In other bases
ternary (3) 1001210012
quaternary (4) 11013320
quinary (5) 1132414
senary (6) 241052
septenary (7) 115115
nonary (9) 31705
undecimal (11) 14847
duodecimal (12) 10188
tridecimal (13) 9722
tetradecimal (14) 790c
pentadecimal (15) 633e

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κϡπδʹ
Mayan (base 20)
𝋢·𝋬·𝋩·𝋤
Chinese
二萬零九百八十四
Chinese (financial)
貳萬零玖佰捌拾肆
In other modern scripts
Eastern Arabic ٢٠٩٨٤ Devanagari २०९८४ Bengali ২০৯৮৪ Tamil ௨௦௯௮௪ Thai ๒๐๙๘๔ Tibetan ༢༠༩༨༤ Khmer ២០៩៨៤ Lao ໒໐໙໘໔ Burmese ၂၀၉၈၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,984 = 5
e — Euler's number (e)
Digit 20,984 = 0
φ — Golden ratio (φ)
Digit 20,984 = 5
√2 — Pythagoras's (√2)
Digit 20,984 = 2
ln 2 — Natural log of 2
Digit 20,984 = 3
γ — Euler-Mascheroni (γ)
Digit 20,984 = 4

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20984, here are decompositions:

  • 3 + 20981 = 20984
  • 37 + 20947 = 20984
  • 97 + 20887 = 20984
  • 127 + 20857 = 20984
  • 211 + 20773 = 20984
  • 241 + 20743 = 20984
  • 277 + 20707 = 20984
  • 373 + 20611 = 20984

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-51F8
U+51F8
Other letter (Lo)

UTF-8 encoding: E5 87 B8 (3 bytes).

Hex color
#0051F8
RGB(0, 81, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.81.248.

Address
0.0.81.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.81.248

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

Position in π

The digit sequence 20984 first appears in π at position 82,153 of the decimal expansion (the 82,153ordinal-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.