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Number

21,221

21,221 is a prime, odd.

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

Properties

Parity
Odd
Digit count
5
Digit sum
8
Digit product
8
Digital root
8
Palindrome
No
Bit width
15 bits
Reversed
12,212
Recamán's sequence
a(41,397) = 21,221
Square (n²)
450,330,841
Cube (n³)
9,556,470,776,861
Divisor count
2
σ(n) — sum of divisors
21,222
φ(n) — Euler's totient
21,220

Primality

21,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21221
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,221)
1 × 21221
First multiples
21,221 · 42,442 (double) · 63,663 · 84,884 · 106,105 · 127,326 · 148,547 · 169,768 · 190,989 · 212,210

Sums & aliquot sequence

As a sum of two squares: 14² + 145²
As consecutive integers: 10,610 + 10,611

Representations

In words
twenty-one thousand two hundred twenty-one
Ordinal
21221st
Binary
101001011100101
Octal
51345
Hexadecimal
0x52E5
Base64
UuU=
One's complement
44,314 (16-bit)
In other bases
ternary (3) 1002002222
quaternary (4) 11023211
quinary (5) 1134341
senary (6) 242125
septenary (7) 115604
nonary (9) 32088
undecimal (11) 14a42
duodecimal (12) 10345
tridecimal (13) 9875
tetradecimal (14) 7a3b
pentadecimal (15) 644b

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵κασκαʹ
Mayan (base 20)
𝋢·𝋭·𝋡·𝋡
Chinese
二萬一千二百二十一
Chinese (financial)
貳萬壹仟貳佰貳拾壹
In other modern scripts
Eastern Arabic ٢١٢٢١ Devanagari २१२२१ Bengali ২১২২১ Tamil ௨௧௨௨௧ Thai ๒๑๒๒๑ Tibetan ༢༡༢༢༡ Khmer ២១២២១ Lao ໒໑໒໒໑ Burmese ၂၁၂၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 21,221 = 5
e — Euler's number (e)
Digit 21,221 = 3
φ — Golden ratio (φ)
Digit 21,221 = 5
√2 — Pythagoras's (√2)
Digit 21,221 = 5
ln 2 — Natural log of 2
Digit 21,221 = 1
γ — Euler-Mascheroni (γ)
Digit 21,221 = 1

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,211 (gap of 10)
  • Next prime: 21,227 (gap of 6)

Pair status: sexy with 21227.

Unicode codepoint
CJK Unified Ideograph-52E5
U+52E5
Other letter (Lo)

UTF-8 encoding: E5 8B A5 (3 bytes).

Hex color
#0052E5
RGB(0, 82, 229)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.82.229.

Address
0.0.82.229
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.82.229

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

Position in π

The digit sequence 21221 first appears in π at position 8,730 of the decimal expansion (the 8,730ordinal-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.