Number

3,643

3,643 is a prime, odd.

3,643 (three thousand six hundred forty-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 MMMDCXLIII and in binary, 111000111011.

Arithmetic Number Cube-Free Deficient Number Emirp Evil Number Happy Number Left-Truncatable Prime Prime Recamán's Sequence Sexy Prime Squarefree

Interestingness

★ ★ ★ ★ ★

9 notable facts · grade A

3,631 3,632 3,633 3,634 3,635 3,636 3,637 3,638 3,639 3,640 3,641 3,642 3,643 3,644 3,645 3,646 3,647 3,648 3,649 3,650 3,651 3,652 3,653 3,654 3,655

less more

Properties

Parity: Odd
Digit count: 4
Digit sum: 16
Digit product: 216
Digital root: 7
Palindrome: No
Bit width: 12 bits
Reversed: 3,463
Recamán's sequence: a(29,190) = 3,643
Square (n²): 13,271,449
Cube (n³): 48,347,888,707
Divisor count: 2
σ(n) — sum of divisors: 3,644
φ(n) — Euler's totient: 3,642

Primality

3,643 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)

1 · 3643

Aliquot sum (sum of proper divisors): 1

Factor pairs (a × b = 3,643)

1 × 3643

First multiples

3,643 · 7,286 (double) · 10,929 · 14,572 · 18,215 · 21,858 · 25,501 · 29,144 · 32,787 · 36,430

Sums & aliquot sequence

As consecutive integers: 1,821 + 1,822

Continued fraction of √n

√3,643 = [60; (2, 1, 3, 1, 39, 2, 4, 1, 3, 13, 6, 1, 1, 1, 2, 2, 4, 19, 1, 8, 2, 1, 59, 1, …)]

Period length 46 — the block in parentheses repeats forever.

Representations

In words: three thousand six hundred forty-three
Ordinal: 3643rd
Roman numeral: MMMDCXLIII
Binary: 111000111011
Octal: 7073
Hexadecimal: 0xE3B
Base64: Djs=
One's complement: 61,892 (16-bit)
Scientific notation: 3.643 × 10³
As a duration: 3,643 s = 1 hour, 43 seconds

In other bases

ternary (3) 11222221

quaternary (4) 320323

quinary (5) 104033

senary (6) 24511

septenary (7) 13423

nonary (9) 4887

undecimal (11) 2812

duodecimal (12) 2137

tridecimal (13) 1873

tetradecimal (14) 1483

pentadecimal (15) 112d

As an angle

3,643° = 10 × 360° + 43°

43° ≈ 0.75 rad

Compass bearing: NE (northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺
Greek (Milesian): ͵γχμγʹ
Mayan (base 20): 𝋩·𝋢·𝋣
Chinese: 三千六百四十三
Chinese (financial): 參仟陸佰肆拾參

In other modern scripts

Eastern Arabic ٣٦٤٣ Devanagari ३६४३ Bengali ৩৬৪৩ Tamil ௩௬௪௩ Thai ๓๖๔๓ Tibetan ༣༦༤༣ Khmer ៣៦៤៣ Lao ໓໖໔໓ Burmese ၃၆၄၃

Digit at this position in famous constants

π — Pi (π): Digit 3,643 = 0
e — Euler's number (e): Digit 3,643 = 1
φ — Golden ratio (φ): Digit 3,643 = 3
√2 — Pythagoras's (√2): Digit 3,643 = 0
ln 2 — Natural log of 2: Digit 3,643 = 4
γ — Euler-Mascheroni (γ): Digit 3,643 = 1

Also seen as

Prime neighborhood

Adjacent primes:

Previous prime: 3,637 (gap of 6)
Next prime: 3,659 (gap of 16)

Pair status: sexy with 3637.

Hex color

#000E3B

RGB(0, 14, 59)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.59.

Address: 0.0.14.59
Class: reserved
IPv4-mapped IPv6: ::ffff:0.0.14.59

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

Musical pitch

Heard as a frequency, 3,643 Hz is closest to:

Concert pitch (A4 = 440 Hz): A♯7 (3729.3 Hz, -41¢)
Scientific pitch (C4 = 256 Hz): A♯7 (3649.1 Hz, -3¢)
Baroque pitch (A4 = 415 Hz): B7 (3726.6 Hz, -39¢)

Position in π

The digit sequence 3643 first appears in π at position 346 of the decimal expansion (the 346ordinal-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 3643 on Pi Search ↗