The number 7482
7482 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 29 × 43. Divisors (16): 1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7482: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7482 is composite. Its prime factorisation is
- 3
The divisors add up to 15840; without 7482 itself that is 8358, so 7482 is abundant (8358 is more than 7482). Euler's totient φ(7482) = 2352 numbers up to 7482 share no factor with it.
- 4
The digits of 7482 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7482 = 2 \times 3 \times 29 \times 43 \]
7482 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15840 |
| Euler totient φ(n) | 2352 |
| Square | 55980324 |
| Cube | 418844784168 |
| Square root | 86.498555 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.482 × |
7482 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and eighty-two |
| Binary (base 2) | 1110100111010 |
| Octal (base 8) | 16472 |
| Hexadecimal (base 16) | 1D3A |
| Base 3 | 101021010 |
| As time | 7482 seconds = 2 h 4 min 42 s |
Is 7482 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7482 ÷ 2 = 3741) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7482 ÷ 3 = 2494) | 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 (7482 ÷ 6 = 1247) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 2) | 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 7482 a prime number?
No. 7482 = 2 × 3 × 29 × 43, so it is divisible by 2.
What are the factors of 7482?
1, 2, 3, 6, 29, 43, 58, 86, 87, 129, 174, 258, 1247, 2494, 3741, 7482.
What is 7482 in binary?
1110100111010 (hexadecimal 1D3A, octal 16472).
What is the square root of 7482?
About 86.4986.
Is 7482 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7482?
7482 is a happy number: repeatedly adding the squares of its digits reaches 1.