Number

3,163

3,163 is a prime, odd.

3,163 (three thousand one hundred sixty-three) is an odd 4-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in Roman numerals it is MMMCLXIII and in binary, 110001011011.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

3,151 3,152 3,153 3,154 3,155 3,156 3,157 3,158 3,159 3,160 3,161 3,162 3,163 3,164 3,165 3,166 3,167 3,168 3,169 3,170 3,171 3,172 3,173 3,174 3,175

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 54
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 3,613
Recamán's sequence: a(7,022) = 3,163
Square (n²): 10,004,569
Cube (n³): 31,644,451,747
Divisor count: 2
σ(n) — sum of divisors: 3,164
φ(n) — Euler's totient: 3,162

Primality

3,163 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3163

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,163)

1 × 3163

First multiples

3,163 · 6,326 (double) · 9,489 · 12,652 · 15,815 · 18,978 · 22,141 · 25,304 · 28,467 · 31,630

Sums & aliquot sequence

As consecutive integers: 1,581 + 1,582

Continued fraction of √n

√3,163 = [56; (4, 6, 2, 1, 2, 1, 1, 1, 1, 1, 55, 1, 1, 1, 1, 1, 2, 1, 2, 6, 4, 112)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words: three thousand one hundred sixty-three
Ordinal: 3163rd
Roman numeral: MMMCLXIII
Binary: 110001011011
Octal: 6133
Hexadecimal: 0xC5B
Base64: DFs=
One's complement: 62,372 (16-bit)
Scientific notation: 3.163 × 10³
As a duration: 3,163 s = 52 minutes, 43 seconds

In other bases

ternary (3) 11100011

quaternary (4) 301123

quinary (5) 100123

senary (6) 22351

septenary (7) 12136

nonary (9) 4304

undecimal (11) 2416

duodecimal (12) 19b7

tridecimal (13) 1594

tetradecimal (14) 121d

pentadecimal (15) e0d

As an angle

3,163° = 8 × 360° + 283°

283° ≈ 4.939 rad

Compass bearing: WNW (west-northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵γρξγʹ
Mayan (base 20): 𝋧·𝋲·𝋣
Chinese: 三千一百六十三
Chinese (financial): 參仟壹佰陸拾參

In other modern scripts

Eastern Arabic ٣١٦٣ Devanagari ३१६३ Bengali ৩১৬৩ Tamil ௩௧௬௩ Thai ๓๑๖๓ Tibetan ༣༡༦༣ Khmer ៣១៦៣ Lao ໓໑໖໓ Burmese ၃၁၆၃

Digit at this position in famous constants

π — Pi (π): Digit 3,163 = 4
e — Euler's number (e): Digit 3,163 = 8
φ — Golden ratio (φ): Digit 3,163 = 1
√2 — Pythagoras's (√2): Digit 3,163 = 7
ln 2 — Natural log of 2: Digit 3,163 = 0
γ — Euler-Mascheroni (γ): Digit 3,163 = 4

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,137 (gap of 26)
Next prime: 3,167 (gap of 4)

Pair status: cousin with 3167.

Hex color

#000C5B

RGB(0, 12, 91)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.91.

Address: 0.0.12.91
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.91

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

Musical pitch

Heard as a frequency, 3,163 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +15¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -48¢ — about midway to G7)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +16¢)

Position in π

The digit sequence 3163 first appears in π at position 3,584 of the decimal expansion (the 3,584ordinal-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 3163 on Pi Search ↗