The number 7525
7525 is a composite number with 12 divisors. Its prime factorisation is × 7 × 43. Divisors (12): 1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7525: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7525 is composite. Its prime factorisation is
- 3
The divisors add up to 10912; without 7525 itself that is 3387, so 7525 is deficient (3387 is less than 7525). Euler's totient φ(7525) = 5040 numbers up to 7525 share no factor with it.
- 4
The digits of 7525 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7525 = 5^{2} \times 7 \times 43 \]7525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10912 |
| Euler totient φ(n) | 5040 |
| Square | 56625625 |
| Cube | 426107828125 |
| Square root | 86.746758 (= 5√301) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 7.525 × |
7525 in other forms
| Form | Value |
|---|---|
| In words | seven thousand five hundred and twenty-five |
| Binary (base 2) | 1110101100101 |
| Octal (base 8) | 16545 |
| Hexadecimal (base 16) | 1D65 |
| Base 3 | 101022201 |
| As time | 7525 seconds = 2 h 5 min 25 s |
Is 7525 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 | No (remainder 1) | 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 (7525 ÷ 5 = 1505) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7525 ÷ 7 = 1075) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7525 a prime number?
No. 7525 = × 7 × 43, so it is divisible by 5.
What are the factors of 7525?
1, 5, 7, 25, 35, 43, 175, 215, 301, 1075, 1505, 7525.
What is 7525 in binary?
1110101100101 (hexadecimal 1D65, octal 16545).
What is the square root of 7525?
About 86.7468, exactly 5√301.
Is 7525 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7525?
7525 is a happy number: repeatedly adding the squares of its digits reaches 1.