The number 87825
87825 is a composite number with 12 divisors. Its prime factorisation is 3 × × 1171. Divisors (12): 1, 3, 5, 15, 25, 75, 1171, 3513, 5855, 17565, 29275, 87825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
87825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87825 is composite. Its prime factorisation is
- 3
The divisors add up to 145328; without 87825 itself that is 57503, so 87825 is deficient (57503 is less than 87825). Euler's totient φ(87825) = 46800 numbers up to 87825 share no factor with it.
- 4
The digits of 87825 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87825 = 3 \times 5^{2} \times 1171 \]87825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 145328 |
| Euler totient φ(n) | 46800 |
| Square | 7713230625 |
| Cube | 677414479640625 |
| Square root | 296.352830 (= 5√3513) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.7825 × |
87825 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand eight hundred and twenty-five |
| Binary (base 2) | 10101011100010001 |
| Octal (base 8) | 253421 |
| Hexadecimal (base 16) | 15711 |
| Base 3 | 11110110210 |
| As time | 87825 seconds = 24 h 23 min 45 s |
Is 87825 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 (87825 ÷ 3 = 29275) | 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 (87825 ÷ 5 = 17565) | 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 3) | 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 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87825 a prime number?
No. 87825 = 3 × × 1171, so it is divisible by 3.
What are the factors of 87825?
1, 3, 5, 15, 25, 75, 1171, 3513, 5855, 17565, 29275, 87825.
What is 87825 in binary?
10101011100010001 (hexadecimal 15711, octal 253421).
What is the square root of 87825?
About 296.3528, exactly 5√3513.
Is 87825 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 87825?
It is a composite number with 12 divisors.