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Number

21,821

21,821 is a prime, odd.

Arithmetic Number Chen Prime Cousin Prime Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Properties

Parity
Odd
Digit count
5
Digit sum
14
Digit product
32
Digital root
5
Palindrome
No
Bit width
15 bits
Reversed
12,812
Recamán's sequence
a(168,121) = 21,821
Square (n²)
476,156,041
Cube (n³)
10,390,200,970,661
Divisor count
2
σ(n) — sum of divisors
21,822
φ(n) — Euler's totient
21,820

Primality

21,821 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 21821
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 21,821)
1 × 21821
First multiples
21,821 · 43,642 (double) · 65,463 · 87,284 · 109,105 · 130,926 · 152,747 · 174,568 · 196,389 · 218,210

Sums & aliquot sequence

As a sum of two squares: 50² + 139²
As consecutive integers: 10,910 + 10,911

Representations

In words
twenty-one thousand eight hundred twenty-one
Ordinal
21821st
Binary
101010100111101
Octal
52475
Hexadecimal
0x553D
Base64
VT0=
One's complement
43,714 (16-bit)
In other bases
ternary (3) 1002221012
quaternary (4) 11110331
quinary (5) 1144241
senary (6) 245005
septenary (7) 120422
nonary (9) 32835
undecimal (11) 15438
duodecimal (12) 10765
tridecimal (13) 9c17
tetradecimal (14) 7d49
pentadecimal (15) 66eb

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓂍𓂍𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵καωκαʹ
Mayan (base 20)
𝋢·𝋮·𝋫·𝋡
Chinese
二萬一千八百二十一
Chinese (financial)
貳萬壹仟捌佰貳拾壹
In other modern scripts
Eastern Arabic ٢١٨٢١ Devanagari २१८२१ Bengali ২১৮২১ Tamil ௨௧௮௨௧ Thai ๒๑๘๒๑ Tibetan ༢༡༨༢༡ Khmer ២១៨២១ Lao ໒໑໘໒໑ Burmese ၂၁၈၂၁

Digit at this position in famous constants

π — Pi (π)
Digit 21,821 = 0
e — Euler's number (e)
Digit 21,821 = 4
φ — Golden ratio (φ)
Digit 21,821 = 4
√2 — Pythagoras's (√2)
Digit 21,821 = 3
ln 2 — Natural log of 2
Digit 21,821 = 4
γ — Euler-Mascheroni (γ)
Digit 21,821 = 3

Also seen as

Prime neighborhood

Adjacent primes:

  • Previous prime: 21,817 (gap of 4)
  • Next prime: 21,839 (gap of 18)

Pair status: cousin with 21817.

Unicode codepoint
CJK Unified Ideograph-553D
U+553D
Other letter (Lo)

UTF-8 encoding: E5 94 BD (3 bytes).

Hex color
#00553D
RGB(0, 85, 61)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.85.61.

Address
0.0.85.61
Class
reserved
IPv4-mapped IPv6
::ffff:0.0.85.61

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

Position in π

The digit sequence 21821 first appears in π at position 8,430 of the decimal expansion (the 8,430ordinal-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.