The number 87325
87325 is a composite number with 12 divisors. Its prime factorisation is × 7 × 499. Divisors (12): 1, 5, 7, 25, 35, 175, 499, 2495, 3493, 12475, 17465, 87325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87325: a Harshad number: divisible by its digit sum 25.
- 2
87325 is composite. Its prime factorisation is
- 3
The divisors add up to 124000; without 87325 itself that is 36675, so 87325 is deficient (36675 is less than 87325). Euler's totient φ(87325) = 59760 numbers up to 87325 share no factor with it.
- 4
The digits of 87325 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87325 = 5^{2} \times 7 \times 499 \]87325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124000 |
| Euler totient φ(n) | 59760 |
| Square | 7625655625 |
| Cube | 665910377453125 |
| Square root | 295.508037 (= 5√3493) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 76 |
| Scientific notation | 8.7325 × |
87325 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and twenty-five |
| Binary (base 2) | 10101010100011101 |
| Octal (base 8) | 252435 |
| Hexadecimal (base 16) | 1551D |
| Base 3 | 11102210021 |
| As time | 87325 seconds = 24 h 15 min 25 s |
Is 87325 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 (87325 ÷ 5 = 17465) | 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 (87325 ÷ 7 = 12475) | 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 7) | 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 7) | 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 87325 a prime number?
No. 87325 = × 7 × 499, so it is divisible by 5.
What are the factors of 87325?
1, 5, 7, 25, 35, 175, 499, 2495, 3493, 12475, 17465, 87325.
What is 87325 in binary?
10101010100011101 (hexadecimal 1551D, octal 252435).
What is the square root of 87325?
About 295.5080, exactly 5√3493.
Is 87325 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 87325?
87325 is a Harshad number: divisible by its digit sum 25.