The number 7542
7542 is a composite number with 12 divisors. Its prime factorisation is 2 × × 419. Divisors (12): 1, 2, 3, 6, 9, 18, 419, 838, 1257, 2514, 3771, 7542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7542: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
7542 is composite. Its prime factorisation is
- 3
The divisors add up to 16380; without 7542 itself that is 8838, so 7542 is abundant (8838 is more than 7542). Euler's totient φ(7542) = 2508 numbers up to 7542 share no factor with it.
- 4
The digits of 7542 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7542 = 2 \times 3^{2} \times 419 \]7542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16380 |
| Euler totient φ(n) | 2508 |
| Square | 56881764 |
| Cube | 429002264088 |
| Square root | 86.844689 (= 3√838) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 7.542 × |
7542 in other forms
| Form | Value |
|---|---|
| In words | seven thousand five hundred and forty-two |
| Binary (base 2) | 1110101110110 |
| Octal (base 8) | 16566 |
| Hexadecimal (base 16) | 1D76 |
| Base 3 | 101100100 |
| As time | 7542 seconds = 2 h 5 min 42 s |
Is 7542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7542 ÷ 2 = 3771) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7542 ÷ 3 = 2514) | 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 (7542 ÷ 6 = 1257) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (7542 ÷ 9 = 838) | 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 7) | 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 7542 a prime number?
No. 7542 = 2 × × 419, so it is divisible by 2.
What are the factors of 7542?
1, 2, 3, 6, 9, 18, 419, 838, 1257, 2514, 3771, 7542.
What is 7542 in binary?
1110101110110 (hexadecimal 1D76, octal 16566).
What is the square root of 7542?
About 86.8447, exactly 3√838.
Is 7542 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7542?
7542 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.