The number 742
742 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 53. Divisors (8): 1, 2, 7, 14, 53, 106, 371, 742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
742 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
742 is composite. Its prime factorisation is
- 3
The divisors add up to 1296; without 742 itself that is 554, so 742 is deficient (554 is less than 742). Euler's totient φ(742) = 312 numbers up to 742 share no factor with it.
- 4
The digits of 742 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 742 = 2 \times 7 \times 53 \]
742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1296 |
| Euler totient φ(n) | 312 |
| Square | 550564 |
| Cube | 408518488 |
| Square root | 27.239677 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 7.42 × |
742 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and forty-two |
| Roman numerals | DCCXLII |
| Binary (base 2) | 1011100110 |
| Octal (base 8) | 1346 |
| Hexadecimal (base 16) | 2E6 |
| Base 3 | 1000111 |
| As time | 742 seconds = 12 min 22 s |
Is 742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (742 ÷ 2 = 371) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (742 ÷ 7 = 106) | 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 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 742 a prime number?
No. 742 = 2 × 7 × 53, so it is divisible by 2.
What are the factors of 742?
1, 2, 7, 14, 53, 106, 371, 742.
What is 742 in binary?
1011100110 (hexadecimal 2E6, octal 1346).
What is the square root of 742?
About 27.2397.
What is 742 in Roman numerals?
DCCXLII.
Is 742 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 742?
It is a composite number with 8 divisors.