The number 7425
7425 is a composite number with 24 divisors. Its prime factorisation is × × 11. Divisors (24): 1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225 … 7425.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7425: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7425 is composite. Its prime factorisation is
- 3
The divisors add up to 14880; without 7425 itself that is 7455, so 7425 is abundant (7455 is more than 7425). Euler's totient φ(7425) = 3600 numbers up to 7425 share no factor with it.
- 4
The digits of 7425 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7425 = 3^{3} \times 5^{2} \times 11 \]7425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 14880 |
| Euler totient φ(n) | 3600 |
| Square | 55130625 |
| Cube | 409344890625 |
| Square root | 86.168440 (= 15√33) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.425 × |
7425 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and twenty-five |
| Binary (base 2) | 1110100000001 |
| Octal (base 8) | 16401 |
| Hexadecimal (base 16) | 1D01 |
| Base 3 | 101012000 |
| As time | 7425 seconds = 2 h 3 min 45 s |
Is 7425 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7425 ÷ 3 = 2475) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7425 ÷ 5 = 1485) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7425 ÷ 9 = 825) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7425 ÷ 11 = 675) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7425 a prime number?
No. 7425 = × × 11, so it is divisible by 3.
What are the factors of 7425?
1, 3, 5, 9, 11, 15, 25, 27, 33, 45, 55, 75, 99, 135, 165, 225, 275, 297, 495, 675, 825, 1485, 2475, 7425.
What is 7425 in binary?
1110100000001 (hexadecimal 1D01, octal 16401).
What is the square root of 7425?
About 86.1684, exactly 15√33.
Is 7425 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 7425?
7425 is a happy number: repeatedly adding the squares of its digits reaches 1.