Number

3,191

3,191 is a prime, odd.

3,191 (three thousand one hundred ninety-one) 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 MMMCXCI and in binary, 110001110111.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Recamán's Sequence Squarefree

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

3,179 3,180 3,181 3,182 3,183 3,184 3,185 3,186 3,187 3,188 3,189 3,190 3,191 3,192 3,193 3,194 3,195 3,196 3,197 3,198 3,199 3,200 3,201 3,202 3,203

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 14
Digit product: 27
Digital root: 5
Palindrome: No
Bit width: 12 bits
Reversed: 1,913
Recamán's sequence: a(6,966) = 3,191
Square (n²): 10,182,481
Cube (n³): 32,492,296,871
Divisor count: 2
σ(n) — sum of divisors: 3,192
φ(n) — Euler's totient: 3,190

Primality

3,191 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3191

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,191)

1 × 3191

First multiples

3,191 · 6,382 (double) · 9,573 · 12,764 · 15,955 · 19,146 · 22,337 · 25,528 · 28,719 · 31,910

Sums & aliquot sequence

As consecutive integers: 1,595 + 1,596

Continued fraction of √n

√3,191 = [56; (2, 22, 10, 4, 2, 2, 1, 1, 1, 1, 4, 1, 1, 10, 1, 2, 1, 55, 1, 2, 1, 10, 1, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words: three thousand one hundred ninety-one
Ordinal: 3191st
Roman numeral: MMMCXCI
Binary: 110001110111
Octal: 6167
Hexadecimal: 0xC77
Base64: DHc=
One's complement: 62,344 (16-bit)
Scientific notation: 3.191 × 10³
As a duration: 3,191 s = 53 minutes, 11 seconds

In other bases

ternary (3) 11101012

quaternary (4) 301313

quinary (5) 100231

senary (6) 22435

septenary (7) 12206

nonary (9) 4335

undecimal (11) 2441

duodecimal (12) 1a1b

tridecimal (13) 15b6

tetradecimal (14) 123d

pentadecimal (15) e2b

As an angle

3,191° = 8 × 360° + 311°

311° ≈ 5.428 rad

Compass bearing: NW (northwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γρϟαʹ
Mayan (base 20): 𝋧·𝋳·𝋫
Chinese: 三千一百九十一
Chinese (financial): 參仟壹佰玖拾壹

In other modern scripts

Eastern Arabic ٣١٩١ Devanagari ३१९१ Bengali ৩১৯১ Tamil ௩௧௯௧ Thai ๓๑๙๑ Tibetan ༣༡༩༡ Khmer ៣១៩១ Lao ໓໑໙໑ Burmese ၃၁၉၁

Digit at this position in famous constants

π — Pi (π): Digit 3,191 = 9
e — Euler's number (e): Digit 3,191 = 0
φ — Golden ratio (φ): Digit 3,191 = 1
√2 — Pythagoras's (√2): Digit 3,191 = 1
ln 2 — Natural log of 2: Digit 3,191 = 1
γ — Euler-Mascheroni (γ): Digit 3,191 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,187 (gap of 4)
Next prime: 3,203 (gap of 12)

Pair status: cousin with 3187.

Unicode codepoint

౷

Telugu Sign Siddham

U+0C77

Other punctuation (Po)

UTF-8 encoding: E0 B1 B7 (3 bytes).

Lookup U+0C77 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000C77

RGB(0, 12, 119)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.119.

Address: 0.0.12.119
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.119

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

Musical pitch

Heard as a frequency, 3,191 Hz is closest to:

Concert pitch (A4 = 440 Hz): G7 (3136 Hz, +30¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, -32¢)
Baroque pitch (A4 = 415 Hz): G♯7 (3133.7 Hz, +31¢)

Position in π

The digit sequence 3191 first appears in π at position 2,871 of the decimal expansion (the 2,871ordinal-suffix:st 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 3191 on Pi Search ↗