The number 2742
2742 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 457. Divisors (8): 1, 2, 3, 6, 457, 914, 1371, 2742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2742 is composite. Its prime factorisation is
- 3
The divisors add up to 5496; without 2742 itself that is 2754, so 2742 is abundant (2754 is more than 2742). Euler's totient φ(2742) = 912 numbers up to 2742 share no factor with it.
- 4
The digits of 2742 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2742 = 2 \times 3 \times 457 \]
2742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 5496 |
| Euler totient φ(n) | 912 |
| Square | 7518564 |
| Cube | 20615902488 |
| Square root | 52.364110 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 115 |
| Scientific notation | 2.742 × |
2742 in other forms
| Form | Value |
|---|---|
| In words | two thousand seven hundred and forty-two |
| Roman numerals | MMDCCXLII |
| Binary (base 2) | 101010110110 |
| Octal (base 8) | 5266 |
| Hexadecimal (base 16) | AB6 |
| Base 3 | 10202120 |
| As time | 2742 seconds = 45 min 42 s |
Is 2742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2742 ÷ 2 = 1371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2742 ÷ 3 = 914) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2742 ÷ 6 = 457) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2742 a prime number?
No. 2742 = 2 × 3 × 457, so it is divisible by 2.
What are the factors of 2742?
1, 2, 3, 6, 457, 914, 1371, 2742.
What is 2742 in binary?
101010110110 (hexadecimal AB6, octal 5266).
What is the square root of 2742?
About 52.3641.
What is 2742 in Roman numerals?
MMDCCXLII.
Is 2742 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2742?
It is a composite number with 8 divisors.