6,744
6,744 is a composite number, even.
6,744 (six thousand seven hundred forty-four) is an even 4-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 281. Its proper divisors sum to 10,176, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1A58.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 21
- Digit product
- 672
- Digital root
- 3
- Palindrome
- No
- Bit width
- 13 bits
- Reversed
- 4,476
- Recamán's sequence
- a(26,856) = 6,744
- Square (n²)
- 45,481,536
- Cube (n³)
- 306,727,478,784
- Divisor count
- 16
- σ(n) — sum of divisors
- 16,920
- φ(n) — Euler's totient
- 2,240
- Sum of prime factors
- 290
Primality
Prime factorization: 2 3 × 3 × 281
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√6,744 = [82; (8, 4, 1, 5, 1, 3, 3, 1, 19, 1, 3, 3, 1, 5, 1, 4, 8, 164)]
Period length 18 — the block in parentheses repeats forever.
Representations
- In words
- six thousand seven hundred forty-four
- Ordinal
- 6744th
- Binary
- 1101001011000
- Octal
- 15130
- Hexadecimal
- 0x1A58
- Base64
- Glg=
- One's complement
- 58,791 (16-bit)
- Scientific notation
- 6.744 × 10³
- As a duration
- 6,744 s = 1 hour, 52 minutes, 24 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
- Greek (Milesian)
- ͵ϛψμδʹ
- Mayan (base 20)
- 𝋰·𝋱·𝋤
- Chinese
- 六千七百四十四
- Chinese (financial)
- 陸仟柒佰肆拾肆
Digit at this position in famous constants
- π — Pi (π)
- Digit 6,744 = 2
- e — Euler's number (e)
- Digit 6,744 = 0
- φ — Golden ratio (φ)
- Digit 6,744 = 0
- √2 — Pythagoras's (√2)
- Digit 6,744 = 8
- ln 2 — Natural log of 2
- Digit 6,744 = 7
- γ — Euler-Mascheroni (γ)
- Digit 6,744 = 6
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 6744, here are decompositions:
- 7 + 6737 = 6744
- 11 + 6733 = 6744
- 41 + 6703 = 6744
- 43 + 6701 = 6744
- 53 + 6691 = 6744
- 71 + 6673 = 6744
- 83 + 6661 = 6744
- 107 + 6637 = 6744
Showing the first eight; more decompositions exist.
UTF-8 encoding: E1 A9 98 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.26.88.
- Address
- 0.0.26.88
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.26.88
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 6,744 Hz is closest to:
- Concert pitch (A4 = 440 Hz): G♯8 (6644.9 Hz, +26¢)
- Scientific pitch (C4 = 256 Hz): A8 (6888.6 Hz, -37¢)
- Baroque pitch (A4 = 415 Hz): A8 (6640 Hz, +27¢)
The digit sequence 6744 first appears in π at position 1,902 of the decimal expansion (the 1,902ordinal-suffix:nd 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°.