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21,000

21,000 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 Evil Number Gapful Number Harshad / Niven Octagonal Practical Number Recamán's Sequence Semiperfect Number

Properties

Parity
Even
Digit count
5
Digit sum
3
Digit product
0
Digital root
3
Palindrome
No
Bit width
15 bits
Reversed
12
Recamán's sequence
a(41,839) = 21,000
Square (n²)
441,000,000
Cube (n³)
9,261,000,000,000
Divisor count
64
σ(n) — sum of divisors
74,880
φ(n) — Euler's totient
4,800
Sum of prime factors
31

Primality

Prime factorization: 2 3 × 3 × 5 3 × 7

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

Divisors & multiples

All divisors (64)
1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 10 · 12 · 14 · 15 · 20 · 21 · 24 · 25 · 28 · 30 · 35 · 40 · 42 · 50 · 56 · 60 · 70 · 75 · 84 · 100 · 105 · 120 · 125 · 140 · 150 · 168 · 175 · 200 · 210 · 250 · 280 · 300 · 350 · 375 · 420 · 500 · 525 · 600 · 700 · 750 · 840 · 875 · 1000 · 1050 · 1400 · 1500 · 1750 · 2100 · 2625 · 3000 · 3500 · 4200 · 5250 · 7000 · 10500 (half) · 21000
Aliquot sum (sum of proper divisors): 53,880
Factor pairs (a × b = 21,000)
1 × 21000
2 × 10500
3 × 7000
4 × 5250
5 × 4200
6 × 3500
7 × 3000
8 × 2625
10 × 2100
12 × 1750
14 × 1500
15 × 1400
20 × 1050
21 × 1000
24 × 875
25 × 840
28 × 750
30 × 700
35 × 600
40 × 525
42 × 500
50 × 420
56 × 375
60 × 350
70 × 300
75 × 280
84 × 250
100 × 210
105 × 200
120 × 175
125 × 168
140 × 150
First multiples
21,000 · 42,000 (double) · 63,000 · 84,000 · 105,000 · 126,000 · 147,000 · 168,000 · 189,000 · 210,000

Sums & aliquot sequence

As consecutive integers: 6,999 + 7,000 + 7,001 4,198 + 4,199 + 4,200 + 4,201 + 4,202 2,997 + 2,998 + … + 3,003 1,393 + 1,394 + … + 1,407
Aliquot sequence: 21,000 53,880 108,120 241,800 591,480 1,430,280 3,413,520 9,121,392 20,055,808 20,313,192 30,469,848 54,409,512 83,340,888 127,869,912 219,423,528 374,848,722 506,762,118 — unresolved within range

Representations

In words
twenty-one thousand
Ordinal
21000th
Binary
101001000001000
Octal
51010
Hexadecimal
0x5208
Base64
Ugg=
One's complement
44,535 (16-bit)
In other bases
ternary (3) 1001210210
quaternary (4) 11020020
quinary (5) 1133000
senary (6) 241120
septenary (7) 115140
nonary (9) 31723
undecimal (11) 14861
duodecimal (12) 101a0
tridecimal (13) 9735
tetradecimal (14) 7920
pentadecimal (15) 6350

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓂍𓂍𓆼
Greek (Milesian)
͵κα
Mayan (base 20)
𝋢·𝋬·𝋪·𝋠
Chinese
二萬一千
Chinese (financial)
貳萬壹仟
In other modern scripts
Eastern Arabic ٢١٠٠٠ Devanagari २१००० Bengali ২১০০০ Tamil ௨௧௦௦௦ Thai ๒๑๐๐๐ Tibetan ༢༡༠༠༠ Khmer ២១០០០ Lao ໒໑໐໐໐ Burmese ၂၁၀၀၀

Digit at this position in famous constants

π — Pi (π)
Digit 21,000 = 1
e — Euler's number (e)
Digit 21,000 = 0
φ — Golden ratio (φ)
Digit 21,000 = 6
√2 — Pythagoras's (√2)
Digit 21,000 = 4
ln 2 — Natural log of 2
Digit 21,000 = 0
γ — Euler-Mascheroni (γ)
Digit 21,000 = 0

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 21000, here are decompositions:

  • 17 + 20983 = 21000
  • 19 + 20981 = 21000
  • 37 + 20963 = 21000
  • 41 + 20959 = 21000
  • 53 + 20947 = 21000
  • 61 + 20939 = 21000
  • 71 + 20929 = 21000
  • 79 + 20921 = 21000

Showing the first eight; more decompositions exist.

Unicode codepoint
CJK Unified Ideograph-5208
U+5208
Other letter (Lo)

UTF-8 encoding: E5 88 88 (3 bytes).

Hex color
#005208
RGB(0, 82, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.8.

Address
0.0.82.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.8

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

Position in π

The digit sequence 21000 first appears in π at position 158,074 of the decimal expansion (the 158,074ordinal-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.