The number 7242
7242 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 71. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7242 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7242 is composite. Its prime factorisation is
- 3
The divisors add up to 15552; without 7242 itself that is 8310, so 7242 is abundant (8310 is more than 7242). Euler's totient φ(7242) = 2240 numbers up to 7242 share no factor with it.
- 4
The digits of 7242 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7242 = 2 \times 3 \times 17 \times 71 \]
7242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15552 |
| Euler totient φ(n) | 2240 |
| Square | 52446564 |
| Cube | 379818016488 |
| Square root | 85.099941 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.242 × |
7242 in other forms
| Form | Value |
|---|---|
| In words | seven thousand two hundred and forty-two |
| Binary (base 2) | 1110001001010 |
| Octal (base 8) | 16112 |
| Hexadecimal (base 16) | 1C4A |
| Base 3 | 100221020 |
| As time | 7242 seconds = 2 h 0 min 42 s |
Is 7242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7242 ÷ 2 = 3621) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7242 ÷ 3 = 2414) | 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 (7242 ÷ 6 = 1207) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 4) | 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 7242 a prime number?
No. 7242 = 2 × 3 × 17 × 71, so it is divisible by 2.
What are the factors of 7242?
1, 2, 3, 6, 17, 34, 51, 71, 102, 142, 213, 426, 1207, 2414, 3621, 7242.
What is 7242 in binary?
1110001001010 (hexadecimal 1C4A, octal 16112).
What is the square root of 7242?
About 85.0999.
Is 7242 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7242?
It is a composite number with 16 divisors.