Number

3,671

3,671 is a prime, odd.

3,671 (three thousand six 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 MMMDCLXXI and in binary, 111001010111.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Sexy Prime Squarefree Twin Prime

Interestingness

★ ★ ★ ★ ★

8 notable facts · grade A

3,659 3,660 3,661 3,662 3,663 3,664 3,665 3,666 3,667 3,668 3,669 3,670 3,671 3,672 3,673 3,674 3,675 3,676 3,677 3,678 3,679 3,680 3,681 3,682 3,683

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 17
Digit product: 126
Digital root: 8
Palindrome: No
Bit width: 12 bits
Reversed: 1,763
Recamán's sequence: a(29,134) = 3,671
Square (n²): 13,476,241
Cube (n³): 49,471,280,711
Divisor count: 2
σ(n) — sum of divisors: 3,672
φ(n) — Euler's totient: 3,670

Primality

3,671 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3671

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,671)

1 × 3671

First multiples

3,671 · 7,342 (double) · 11,013 · 14,684 · 18,355 · 22,026 · 25,697 · 29,368 · 33,039 · 36,710

Sums & aliquot sequence

As consecutive integers: 1,835 + 1,836

Continued fraction of √n

√3,671 = [60; (1, 1, 2, 3, 6, 11, 1, 23, 3, 6, 1, 3, 1, 59, 1, 3, 1, 6, 3, 23, 1, 11, 6, 3, …)]

Period length 28 — the block in parentheses repeats forever.

Representations

In words: three thousand six hundred seventy-one
Ordinal: 3671st
Roman numeral: MMMDCLXXI
Binary: 111001010111
Octal: 7127
Hexadecimal: 0xE57
Base64: Dlc=
One's complement: 61,864 (16-bit)
Scientific notation: 3.671 × 10³
As a duration: 3,671 s = 1 hour, 1 minute, 11 seconds

In other bases

ternary (3) 12000222

quaternary (4) 321113

quinary (5) 104141

senary (6) 24555

septenary (7) 13463

nonary (9) 5028

undecimal (11) 2838

duodecimal (12) 215b

tridecimal (13) 1895

tetradecimal (14) 14a3

pentadecimal (15) 114b

As an angle

3,671° = 10 × 360° + 71°

71° ≈ 1.239 rad

Compass bearing: ENE (east-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 𒁹 𒌋𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian): ͵γχοαʹ
Mayan (base 20): 𝋩·𝋣·𝋫
Chinese: 三千六百七十一
Chinese (financial): 參仟陸佰柒拾壹

In other modern scripts

Eastern Arabic ٣٦٧١ Devanagari ३६७१ Bengali ৩৬৭১ Tamil ௩௬௭௧ Thai ๓๖๗๑ Tibetan ༣༦༧༡ Khmer ៣៦៧១ Lao ໓໖໗໑ Burmese ၃၆၇၁

Digit at this position in famous constants

π — Pi (π): Digit 3,671 = 9
e — Euler's number (e): Digit 3,671 = 1
φ — Golden ratio (φ): Digit 3,671 = 6
√2 — Pythagoras's (√2): Digit 3,671 = 8
ln 2 — Natural log of 2: Digit 3,671 = 7
γ — Euler-Mascheroni (γ): Digit 3,671 = 5

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,659 (gap of 12)
Next prime: 3,673 (gap of 2)

Pair status: twin with 3673.

Unicode codepoint

๗

Thai Digit Seven

U+0E57

Decimal digit (Nd)

UTF-8 encoding: E0 B9 97 (3 bytes).

Lookup U+0E57 on Compart ↗ Lookup on FileFormat.Info ↗

Hex color

#000E57

RGB(0, 14, 87)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.87.

Address: 0.0.14.87
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.87

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

Musical pitch

Heard as a frequency, 3,671 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -27¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, +10¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -26¢)

Position in π

The digit sequence 3671 first appears in π at position 28,646 of the decimal expansion (the 28,646ordinal-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 3671 on Pi Search ↗