2,742
2,742 is a composite number, even.
2,742 (two thousand seven hundred forty-two) is an even 4-digit number. It is a composite number with 8 divisors, and factors as 2 × 3 × 457. Its proper divisors sum to 2,754, more than the number itself, making it an abundant number. Written other ways, in Roman numerals it is MMDCCXLII and in binary, 101010110110.
Interestingness
Properties
- Parity
- Even
- Digit count
- 4
- Digit sum
- 15
- Digit product
- 112
- Digital root
- 6
- Palindrome
- No
- Bit width
- 12 bits
- Reversed
- 2,472
- Recamán's sequence
- a(2,771) = 2,742
- Square (n²)
- 7,518,564
- Cube (n³)
- 20,615,902,488
- Divisor count
- 8
- σ(n) — sum of divisors
- 5,496
- φ(n) — Euler's totient
- 912
- Sum of prime factors
- 462
Primality
Prime factorization: 2 × 3 × 457
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√2,742 = [52; (2, 1, 2, 1, 16, 1, 2, 1, 2, 104)]
Period length 10 — the block in parentheses repeats forever.
Representations
- In words
- two thousand seven hundred forty-two
- Ordinal
- 2742nd
- Roman numeral
- MMDCCXLII
- Binary
- 101010110110
- Octal
- 5266
- Hexadecimal
- 0xAB6
- Base64
- CrY=
- One's complement
- 62,793 (16-bit)
- Scientific notation
- 2.742 × 10³
- As a duration
- 2,742 s = 45 minutes, 42 seconds
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
- Egyptian hieroglyphic
- 𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
- Greek (Milesian)
- ͵βψμβʹ
- Mayan (base 20)
- 𝋦·𝋱·𝋢
- Chinese
- 二千七百四十二
- Chinese (financial)
- 貳仟柒佰肆拾貳
Digit at this position in famous constants
- π — Pi (π)
- Digit 2,742 = 1
- e — Euler's number (e)
- Digit 2,742 = 2
- φ — Golden ratio (φ)
- Digit 2,742 = 9
- √2 — Pythagoras's (√2)
- Digit 2,742 = 7
- ln 2 — Natural log of 2
- Digit 2,742 = 5
- γ — Euler-Mascheroni (γ)
- Digit 2,742 = 1
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 2742, here are decompositions:
- 11 + 2731 = 2742
- 13 + 2729 = 2742
- 23 + 2719 = 2742
- 29 + 2713 = 2742
- 31 + 2711 = 2742
- 43 + 2699 = 2742
- 53 + 2689 = 2742
- 59 + 2683 = 2742
Showing the first eight; more decompositions exist.
UTF-8 encoding: E0 AA B6 (3 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.0.10.182.
- Address
- 0.0.10.182
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.0.10.182
Unspecified address (0.0.0.0/8) — "this network" placeholder.
Heard as a frequency, 2,742 Hz is closest to:
- Concert pitch (A4 = 440 Hz): F7 (2793.8 Hz, -32¢)
- Scientific pitch (C4 = 256 Hz): F7 (2733.8 Hz, +5¢)
- Baroque pitch (A4 = 415 Hz): F♯7 (2791.8 Hz, -31¢)
The digit sequence 2742 first appears in π at position 5,951 of the decimal expansion (the 5,951ordinal-suffix:st 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°.