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Number

20,921

20,921 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
12,902
Recamán's sequence
a(41,997) = 20,921
Square (n²)
437,688,241
Cube (n³)
9,156,875,689,961
Divisor count
2
σ(n) — sum of divisors
20,922
φ(n) — Euler's totient
20,920

Primality

20,921 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 20921
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 20,921)
1 × 20921
First multiples
20,921 · 41,842 (double) · 62,763 · 83,684 · 104,605 · 125,526 · 146,447 · 167,368 · 188,289 · 209,210

Sums & aliquot sequence

As a sum of two squares: 40² + 139²
As consecutive integers: 10,460 + 10,461

Representations

In words
twenty thousand nine hundred twenty-one
Ordinal
20921st
Binary
101000110111001
Octal
50671
Hexadecimal
0x51B9
Base64
Ubk=
One's complement
44,614 (16-bit)
In other bases
ternary (3) 1001200212
quaternary (4) 11012321
quinary (5) 1132141
senary (6) 240505
septenary (7) 114665
nonary (9) 31625
undecimal (11) 1479a
duodecimal (12) 10135
tridecimal (13) 96a4
tetradecimal (14) 78a5
pentadecimal (15) 62eb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵κϡκαʹ
Mayan (base 20)
𝋢·𝋬·𝋦·𝋡
Chinese
二萬零九百二十一
Chinese (financial)
貳萬零玖佰貳拾壹
In other modern scripts
Eastern Arabic ٢٠٩٢١ Devanagari २०९२१ Bengali ২০৯২১ Tamil ௨௦௯௨௧ Thai ๒๐๙๒๑ Tibetan ༢༠༩༢༡ Khmer ២០៩២១ Lao ໒໐໙໒໑ Burmese ၂၀၉၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 20,921 = 5
e — Euler's number (e)
Digit 20,921 = 7
φ — Golden ratio (φ)
Digit 20,921 = 2
√2 — Pythagoras's (√2)
Digit 20,921 = 7
ln 2 — Natural log of 2
Digit 20,921 = 6
γ — Euler-Mascheroni (γ)
Digit 20,921 = 5

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 20,903 (gap of 18)
  • Next prime: 20,929 (gap of 8)
Unicode codepoint
CJK Unified Ideograph-51B9
U+51B9
Other letter (Lo)

UTF-8 encoding: E5 86 B9 (3 bytes).

Hex color
#0051B9
RGB(0, 81, 185)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.81.185.

Address
0.0.81.185
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.81.185

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

Position in π

The digit sequence 20921 first appears in π at position 49,087 of the decimal expansion (the 49,087ordinal-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.