The number 87525
87525 is a composite number with 18 divisors. Its prime factorisation is × × 389. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 225, 389, 1167, 1945, 3501, 5835, 9725, 17505 … 87525.
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How to work it out
- 1
What is special about 87525: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87525 is composite. Its prime factorisation is
- 3
The divisors add up to 157170; without 87525 itself that is 69645, so 87525 is deficient (69645 is less than 87525). Euler's totient φ(87525) = 46560 numbers up to 87525 share no factor with it.
- 4
The digits of 87525 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87525 = 3^{2} \times 5^{2} \times 389 \]87525 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 157170 |
| Euler totient φ(n) | 46560 |
| Square | 7660625625 |
| Cube | 670496257828125 |
| Square root | 295.846244 (= 15√389) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7525 × |
87525 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand five hundred and twenty-five |
| Binary (base 2) | 10101010111100101 |
| Octal (base 8) | 252745 |
| Hexadecimal (base 16) | 155E5 |
| Base 3 | 11110001200 |
| As time | 87525 seconds = 24 h 18 min 45 s |
Is 87525 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 (87525 ÷ 3 = 29175) | 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 (87525 ÷ 5 = 17505) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87525 ÷ 9 = 9725) | 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 9) | 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 87525 a prime number?
No. 87525 = × × 389, so it is divisible by 3.
What are the factors of 87525?
1, 3, 5, 9, 15, 25, 45, 75, 225, 389, 1167, 1945, 3501, 5835, 9725, 17505, 29175, 87525.
What is 87525 in binary?
10101010111100101 (hexadecimal 155E5, octal 252745).
What is the square root of 87525?
About 295.8462, exactly 15√389.
Is 87525 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 87525?
87525 is a happy number: repeatedly adding the squares of its digits reaches 1.