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20,804

20,804 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.).

20,804 (twenty thousand eight hundred four) is an even 5-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 743. Its proper divisors sum to 20,860, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x5144.

Abundant Number Arithmetic Number Cube-Free Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
40,802
Recamán's sequence
a(42,231) = 20,804
Square (n²)
432,806,416
Cube (n³)
9,004,104,678,464
Divisor count
12
σ(n) — sum of divisors
41,664
φ(n) — Euler's totient
8,904
Sum of prime factors
754

Primality

Prime factorization: 2 2 × 7 × 743

Nearest primes: 20,789 (−15) · 20,807 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 743 · 1486 · 2972 · 5201 · 10402 (half) · 20804
Aliquot sum (sum of proper divisors): 20,860
Factor pairs (a × b = 20,804)
1 × 20804
2 × 10402
4 × 5201
7 × 2972
14 × 1486
28 × 743
First multiples
20,804 · 41,608 (double) · 62,412 · 83,216 · 104,020 · 124,824 · 145,628 · 166,432 · 187,236 · 208,040

Sums & aliquot sequence

As consecutive integers: 2,969 + 2,970 + … + 2,975 2,597 + 2,598 + … + 2,604 344 + 345 + … + 399
Aliquot sequence: 20,804 20,860 29,540 41,692 41,748 73,164 140,084 140,140 262,052 275,548 318,724 318,780 939,204 1,774,780 2,563,148 2,563,204 2,730,364 — unresolved within range

Continued fraction of √n

√20,804 = [144; (4, 4, 5, 3, 4, 1, 13, 1, 1, 1, 1, 2, 1, 3, 1, 3, 1, 1, 1, 5, 1, 10, 1, 2, …)]

Representations

In words
twenty thousand eight hundred four
Ordinal
20804th
Binary
101000101000100
Octal
50504
Hexadecimal
0x5144
Base64
UUQ=
One's complement
44,731 (16-bit)
Scientific notation
2.0804 × 10⁴
As a duration
20,804 s = 5 hours, 46 minutes, 44 seconds
In other bases
ternary (3) 1001112112
quaternary (4) 11011010
quinary (5) 1131204
senary (6) 240152
septenary (7) 114440
nonary (9) 31475
undecimal (11) 146a3
duodecimal (12) 10058
tridecimal (13) 9614
tetradecimal (14) 7820
pentadecimal (15) 626e

As an angle

20,804° = 57 × 360° + 284°
284° ≈ 4.957 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κωδʹ
Mayan (base 20)
𝋢·𝋬·𝋠·𝋤
Chinese
二萬零八百零四
Chinese (financial)
貳萬零捌佰零肆
In other modern scripts
Eastern Arabic ٢٠٨٠٤ Devanagari २०८०४ Bengali ২০৮০৪ Tamil ௨௦௮௦௪ Thai ๒๐๘๐๔ Tibetan ༢༠༨༠༤ Khmer ២០៨០៤ Lao ໒໐໘໐໔ Burmese ၂၀၈၀၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,804 = 9
e — Euler's number (e)
Digit 20,804 = 1
φ — Golden ratio (φ)
Digit 20,804 = 5
√2 — Pythagoras's (√2)
Digit 20,804 = 3
ln 2 — Natural log of 2
Digit 20,804 = 9
γ — Euler-Mascheroni (γ)
Digit 20,804 = 9

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20804, here are decompositions:

  • 31 + 20773 = 20804
  • 61 + 20743 = 20804
  • 73 + 20731 = 20804
  • 97 + 20707 = 20804
  • 163 + 20641 = 20804
  • 193 + 20611 = 20804
  • 211 + 20593 = 20804
  • 241 + 20563 = 20804

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5144
U+5144
Other letter (Lo)

UTF-8 encoding: E5 85 84 (3 bytes).

Hex color
#005144
RGB(0, 81, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.81.68.

Address
0.0.81.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.81.68

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

Position in π

The digit sequence 20804 first appears in π at position 1,282 of the decimal expansion (the 1,282ordinal-suffix:nd 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.

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.