Number

3,221

3,221 is a prime, odd.

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

Properties

Parity: Odd
Digit count: 4
Digit sum: 8
Digit product: 12
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,223
Recamán's sequence: a(6,906) = 3,221
Square (n²): 10,374,841
Cube (n³): 33,417,362,861
Divisor count: 2
σ(n) — sum of divisors: 3,222
φ(n) — Euler's totient: 3,220

Primality

3,221 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3221

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,221)

1 × 3221

First multiples

3,221 · 6,442 (double) · 9,663 · 12,884 · 16,105 · 19,326 · 22,547 · 25,768 · 28,989 · 32,210

Sums & aliquot sequence

As a sum of two squares: 14² + 55²

As consecutive integers: 1,610 + 1,611

Representations

In words: three thousand two hundred twenty-one
Ordinal: 3221st
Roman numeral: MMMCCXXI
Binary: 110010010101
Octal: 6225
Hexadecimal: 0xC95
Base64: DJU=
One's complement: 62,314 (16-bit)

In other bases

ternary (3) 11102022

quaternary (4) 302111

quinary (5) 100341

senary (6) 22525

septenary (7) 12251

nonary (9) 4368

undecimal (11) 2469

duodecimal (12) 1a45

tridecimal (13) 160a

tetradecimal (14) 1261

pentadecimal (15) e4b

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓏺
Greek (Milesian): ͵γσκαʹ
Mayan (base 20): 𝋨·𝋡·𝋡
Chinese: 三千二百二十一
Chinese (financial): 參仟貳佰貳拾壹

In other modern scripts

Eastern Arabic ٣٢٢١ Devanagari ३२२१ Bengali ৩২২১ Tamil ௩௨௨௧ Thai ๓๒๒๑ Tibetan ༣༢༢༡ Khmer ៣២២១ Lao ໓໒໒໑ Burmese ၃၂၂၁

Digit at this position in famous constants

π — Pi (π): Digit 3,221 = 1
e — Euler's number (e): Digit 3,221 = 5
φ — Golden ratio (φ): Digit 3,221 = 8
√2 — Pythagoras's (√2): Digit 3,221 = 4
ln 2 — Natural log of 2: Digit 3,221 = 1
γ — Euler-Mascheroni (γ): Digit 3,221 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,217 (gap of 4)
Next prime: 3,229 (gap of 8)

Pair status: cousin with 3217.

Unicode codepoint

ಕ

Kannada Letter Ka

U+0C95

Other letter (Lo)

UTF-8 encoding: E0 B2 95 (3 bytes).

Lookup U+0C95 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000C95

RGB(0, 12, 149)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.149.

Address: 0.0.12.149
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.149

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

Position in π

The digit sequence 3221 first appears in π at position 12,811 of the decimal expansion (the 12,811ordinal-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 3221 on Pi Search ↗