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20,824

20,824 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
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
15 bits
Reversed
42,802
Recamán's sequence
a(42,191) = 20,824
Square (n²)
433,638,976
Cube (n³)
9,030,098,036,224
Divisor count
16
σ(n) — sum of divisors
41,400
φ(n) — Euler's totient
9,792
Sum of prime factors
162

Primality

Prime factorization: 2 3 × 19 × 137

Nearest primes: 20,809 (−15) · 20,849 (+25)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 19 · 38 · 76 · 137 · 152 · 274 · 548 · 1096 · 2603 · 5206 · 10412 (half) · 20824
Aliquot sum (sum of proper divisors): 20,576
Factor pairs (a × b = 20,824)
1 × 20824
2 × 10412
4 × 5206
8 × 2603
19 × 1096
38 × 548
76 × 274
137 × 152
First multiples
20,824 · 41,648 (double) · 62,472 · 83,296 · 104,120 · 124,944 · 145,768 · 166,592 · 187,416 · 208,240

Sums & aliquot sequence

As consecutive integers: 1,294 + 1,295 + … + 1,309 1,087 + 1,088 + … + 1,105 84 + 85 + … + 220
Aliquot sequence: 20,824 20,576 19,996 15,004 14,788 11,098 6,182 3,970 3,194 1,600 2,337 1,023 513 287 49 8 7 — unresolved within range

Representations

In words
twenty thousand eight hundred twenty-four
Ordinal
20824th
Binary
101000101011000
Octal
50530
Hexadecimal
0x5158
Base64
UVg=
One's complement
44,711 (16-bit)
In other bases
ternary (3) 1001120021
quaternary (4) 11011120
quinary (5) 1131244
senary (6) 240224
septenary (7) 114466
nonary (9) 31507
undecimal (11) 14711
duodecimal (12) 10074
tridecimal (13) 962b
tetradecimal (14) 7836
pentadecimal (15) 6284

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵κωκδʹ
Mayan (base 20)
𝋢·𝋬·𝋡·𝋤
Chinese
二萬零八百二十四
Chinese (financial)
貳萬零捌佰貳拾肆
In other modern scripts
Eastern Arabic ٢٠٨٢٤ Devanagari २०८२४ Bengali ২০৮২৪ Tamil ௨௦௮௨௪ Thai ๒๐๘๒๔ Tibetan ༢༠༨༢༤ Khmer ២០៨២៤ Lao ໒໐໘໒໔ Burmese ၂၀၈၂၄

Digit at this position in famous constants

π — Pi (π)
Digit 20,824 = 2
e — Euler's number (e)
Digit 20,824 = 4
φ — Golden ratio (φ)
Digit 20,824 = 6
√2 — Pythagoras's (√2)
Digit 20,824 = 5
ln 2 — Natural log of 2
Digit 20,824 = 9
γ — Euler-Mascheroni (γ)
Digit 20,824 = 1

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 20824, here are decompositions:

  • 17 + 20807 = 20824
  • 53 + 20771 = 20824
  • 71 + 20753 = 20824
  • 107 + 20717 = 20824
  • 131 + 20693 = 20824
  • 197 + 20627 = 20824
  • 281 + 20543 = 20824
  • 317 + 20507 = 20824

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5158
U+5158
Other letter (Lo)

UTF-8 encoding: E5 85 98 (3 bytes).

Hex color
#005158
RGB(0, 81, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.81.88.

Address
0.0.81.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.81.88

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

Position in π

The digit sequence 20824 first appears in π at position 46,714 of the decimal expansion (the 46,714ordinal-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.