Number

3,271

3,271 is a prime, odd.

3,271 (three thousand two hundred seventy-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 MMMCCLXXI and in binary, 110011000111.

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

Interestingness

★ ★ ★ ★ ☆

7 notable facts · grade B

3,259 3,260 3,261 3,262 3,263 3,264 3,265 3,266 3,267 3,268 3,269 3,270 3,271 3,272 3,273 3,274 3,275 3,276 3,277 3,278 3,279 3,280 3,281 3,282 3,283

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 13
Digit product: 42
Digital root: 4
Palindrome: No
Bit width: 12 bits
Reversed: 1,723
Recamán's sequence: a(6,806) = 3,271
Square (n²): 10,699,441
Cube (n³): 34,997,871,511
Divisor count: 2
σ(n) — sum of divisors: 3,272
φ(n) — Euler's totient: 3,270

Primality

3,271 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3271

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,271)

1 × 3271

First multiples

3,271 · 6,542 (double) · 9,813 · 13,084 · 16,355 · 19,626 · 22,897 · 26,168 · 29,439 · 32,710

Sums & aliquot sequence

As consecutive integers: 1,635 + 1,636

Continued fraction of √n

√3,271 = [57; (5, 5, 4, 22, 1, 1, 1, 3, 3, 1, 1, 5, 1, 3, 1, 2, 1, 2, 18, 1, 2, 3, 7, 1, …)]

Representations

In words: three thousand two hundred seventy-one
Ordinal: 3271st
Roman numeral: MMMCCLXXI
Binary: 110011000111
Octal: 6307
Hexadecimal: 0xCC7
Base64: DMc=
One's complement: 62,264 (16-bit)
Scientific notation: 3.271 × 10³
As a duration: 3,271 s = 54 minutes, 31 seconds

In other bases

ternary (3) 11111011

quaternary (4) 303013

quinary (5) 101041

senary (6) 23051

septenary (7) 12352

nonary (9) 4434

undecimal (11) 2504

duodecimal (12) 1a87

tridecimal (13) 1648

tetradecimal (14) 1299

pentadecimal (15) e81

As an angle

3,271° = 9 × 360° + 31°

31° ≈ 0.541 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γσοαʹ
Mayan (base 20): 𝋨·𝋣·𝋫
Chinese: 三千二百七十一
Chinese (financial): 參仟貳佰柒拾壹

In other modern scripts

Eastern Arabic ٣٢٧١ Devanagari ३२७१ Bengali ৩২৭১ Tamil ௩௨௭௧ Thai ๓๒๗๑ Tibetan ༣༢༧༡ Khmer ៣២៧១ Lao ໓໒໗໑ Burmese ၃၂၇၁

Digit at this position in famous constants

π — Pi (π): Digit 3,271 = 9
e — Euler's number (e): Digit 3,271 = 8
φ — Golden ratio (φ): Digit 3,271 = 7
√2 — Pythagoras's (√2): Digit 3,271 = 8
ln 2 — Natural log of 2: Digit 3,271 = 7
γ — Euler-Mascheroni (γ): Digit 3,271 = 2

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,259 (gap of 12)
Next prime: 3,299 (gap of 28)

Unicode codepoint

ೇ

Kannada Vowel Sign Ee

U+0CC7

Spacing combining mark (Mc)

UTF-8 encoding: E0 B3 87 (3 bytes).

Lookup U+0CC7 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000CC7

RGB(0, 12, 199)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.12.199.

Address: 0.0.12.199
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.12.199

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

Musical pitch

Heard as a frequency, 3,271 Hz is closest to:

Concert pitch (A4 = 440 Hz): G♯7 (3322.4 Hz, -27¢)
Scientific pitch (C4 = 256 Hz): G♯7 (3251 Hz, +11¢)
Baroque pitch (A4 = 415 Hz): A7 (3320 Hz, -26¢)

Position in π

The digit sequence 3271 first appears in π at position 4,739 of the decimal expansion (the 4,739ordinal-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 3271 on Pi Search ↗