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Number

21,089

21,089 is a prime, odd.

Arithmetic Number Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Self Number Sophie Germain Prime Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
15 bits
Reversed
98,012
Recamán's sequence
a(41,661) = 21,089
Square (n²)
444,745,921
Cube (n³)
9,379,246,727,969
Divisor count
2
σ(n) — sum of divisors
21,090
φ(n) — Euler's totient
21,088

Primality

21,089 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21089
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,089)
1 × 21089
First multiples
21,089 · 42,178 (double) · 63,267 · 84,356 · 105,445 · 126,534 · 147,623 · 168,712 · 189,801 · 210,890

Sums & aliquot sequence

As a sum of two squares: 8² + 145²
As consecutive integers: 10,544 + 10,545

Representations

In words
twenty-one thousand eighty-nine
Ordinal
21089th
Binary
101001001100001
Octal
51141
Hexadecimal
0x5261
Base64
UmE=
One's complement
44,446 (16-bit)
In other bases
ternary (3) 1001221002
quaternary (4) 11021201
quinary (5) 1133324
senary (6) 241345
septenary (7) 115325
nonary (9) 31832
undecimal (11) 14932
duodecimal (12) 10255
tridecimal (13) 97a3
tetradecimal (14) 7985
pentadecimal (15) 63ae

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵καπθʹ
Mayan (base 20)
𝋢·𝋬·𝋮·𝋩
Chinese
二萬一千零八十九
Chinese (financial)
貳萬壹仟零捌拾玖
In other modern scripts
Eastern Arabic ٢١٠٨٩ Devanagari २१०८९ Bengali ২১০৮৯ Tamil ௨௧௦௮௯ Thai ๒๑๐๘๙ Tibetan ༢༡༠༨༩ Khmer ២១០៨៩ Lao ໒໑໐໘໙ Burmese ၂၁၀၈၉

Digit at this position in famous constants

π — Pi (π)
Digit 21,089 = 6
e — Euler's number (e)
Digit 21,089 = 9
φ — Golden ratio (φ)
Digit 21,089 = 0
√2 — Pythagoras's (√2)
Digit 21,089 = 2
ln 2 — Natural log of 2
Digit 21,089 = 6
γ — Euler-Mascheroni (γ)
Digit 21,089 = 0

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,067 (gap of 22)
  • Next prime: 21,101 (gap of 12)
Unicode codepoint
CJK Unified Ideograph-5261
U+5261
Other letter (Lo)

UTF-8 encoding: E5 89 A1 (3 bytes).

Hex color
#005261
RGB(0, 82, 97)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.97.

Address
0.0.82.97
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.97

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
000021089
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.

Position in π

The digit sequence 21089 first appears in π at position 92,825 of the decimal expansion (the 92,825ordinal-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.