3,642
3,642 is a composite number, even.
3,642 (three thousand six hundred forty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 607. Its proper divisors sum to 3,654, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMMDCXLII and in binary, 111000111010.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 15
- Digit product
- 144
- Digital root
- 6
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 2,463
- Recamán's sequence
- a(29,192) = 3,642
- Square (n²)
- 13,264,164
- Cube (n³)
- 48,308,085,288
- Divisor count
- 8
- σ(n) — sum of divisors
- 7,296
- φ(n) — Euler's totient
- 1,212
- Sum of prime factors
- 612
Primality
Prime factorization: 2 × 3 × 607
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√3,642 = [60; (2, 1, 6, 2, 3, 5, 5, 17, 20, 17, 5, 5, 3, 2, 6, 1, 2, 120)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- three thousand six hundred forty-two
- Ordinal
- 3642nd
- Roman numeral
- MMMDCXLII
- Binary
- 111000111010
- Octal
- 7072
- Hexadecimal
- 0xE3A
- Base64
- Djo=
- One's complement
- 61,893 (16-bit)
- Scientific notation
- 3.642 × 10³
- As a duration
- 3,642 s = 1 hour, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 · 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵γχμβʹ
- Mayan (base 20)
- 𝋩·𝋢·𝋢
- Chinese
- 三千六百四十二
- Chinese (financial)
- 參仟陸佰肆拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 3,642 = 7
- e — Euler's number (e)
- Digit 3,642 = 5
- φ — Golden ratio (φ)
- Digit 3,642 = 2
- √2 — Pythagoras's (√2)
- Digit 3,642 = 3
- ln 2 — Natural log of 2
- Digit 3,642 = 1
- γ — Euler-Mascheroni (γ)
- Digit 3,642 = 7
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 3642, here are decompositions:
- 5 + 3637 = 3642
- 11 + 3631 = 3642
- 19 + 3623 = 3642
- 29 + 3613 = 3642
- 59 + 3583 = 3642
- 61 + 3581 = 3642
- 71 + 3571 = 3642
- 83 + 3559 = 3642
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 B8 BA (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.14.58.
- Address
- 0.0.14.58
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.14.58
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 3,642 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, -40¢)
The digit sequence 3642 first appears in π at position 4,849 of the decimal expansion (the 4,849ordinal-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.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.