Number

8,221

8,221 is a prime, odd.

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

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 32
Digital root: 4
Palindrome: No
Bit width: 14 bits
Reversed: 1,228
Recamán's sequence: a(10,325) = 8,221
Square (n²): 67,584,841
Cube (n³): 555,614,977,861
Divisor count: 2
σ(n) — sum of divisors: 8,222
φ(n) — Euler's totient: 8,220

Primality

8,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 8221

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 8,221)

1 × 8221

First multiples

8,221 · 16,442 (double) · 24,663 · 32,884 · 41,105 · 49,326 · 57,547 · 65,768 · 73,989 · 82,210

Sums & aliquot sequence

As a sum of two squares: 11² + 90²

As consecutive integers: 4,110 + 4,111

Representations

In words: eight thousand two hundred twenty-one
Ordinal: 8221st
Binary: 10000000011101
Octal: 20035
Hexadecimal: 0x201D
Base64: IB0=
One's complement: 57,314 (16-bit)

In other bases

ternary (3) 102021111

quaternary (4) 2000131

quinary (5) 230341

senary (6) 102021

septenary (7) 32653

nonary (9) 12244

undecimal (11) 61a4

duodecimal (12) 4911

tridecimal (13) 3985

tetradecimal (14) 2dd3

pentadecimal (15) 2681

Historical numeral systems

Babylonian (base 60): 𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵ησκαʹ
Mayan (base 20): 𝋡·𝋠·𝋫·𝋡
Chinese: 八千二百二十一
Chinese (financial): 捌仟貳佰貳拾壹

In other modern scripts

Eastern Arabic ٨٢٢١ Devanagari ८२२१ Bengali ৮২২১ Tamil ௮௨௨௧ Thai ๘๒๒๑ Tibetan ༨༢༢༡ Khmer ៨២២១ Lao ໘໒໒໑ Burmese ၈၂၂၁

Digit at this position in famous constants

π — Pi (π): Digit 8,221 = 4
e — Euler's number (e): Digit 8,221 = 1
φ — Golden ratio (φ): Digit 8,221 = 5
√2 — Pythagoras's (√2): Digit 8,221 = 9
ln 2 — Natural log of 2: Digit 8,221 = 4
γ — Euler-Mascheroni (γ): Digit 8,221 = 0

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 8,219 (gap of 2)
Next prime: 8,231 (gap of 10)

Pair status: twin with 8219.

Unicode codepoint

”

Right Double Quotation Mark

U+201D

Final quote (Pf)

UTF-8 encoding: E2 80 9D (3 bytes).

Lookup U+201D on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#00201D

RGB(0, 32, 29)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.32.29.

Address: 0.0.32.29
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.32.29

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

Position in π

The digit sequence 8221 first appears in π at position 5,149 of the decimal expansion (the 5,149ordinal-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.

Look up 8221 on Pi Search ↗