The number 72825
72825 is a composite number with 12 divisors. Its prime factorisation is 3 × × 971. Divisors (12): 1, 3, 5, 15, 25, 75, 971, 2913, 4855, 14565, 24275, 72825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72825 is composite. Its prime factorisation is
- 3
The divisors add up to 120528; without 72825 itself that is 47703, so 72825 is deficient (47703 is less than 72825). Euler's totient φ(72825) = 38800 numbers up to 72825 share no factor with it.
- 4
The digits of 72825 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72825 = 3 \times 5^{2} \times 971 \]72825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 120528 |
| Euler totient φ(n) | 38800 |
| Square | 5303480625 |
| Cube | 386225976515625 |
| Square root | 269.861075 (= 5√2913) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.2825 × |
72825 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand eight hundred and twenty-five |
| Binary (base 2) | 10001110001111001 |
| Octal (base 8) | 216171 |
| Hexadecimal (base 16) | 11C79 |
| Base 3 | 10200220020 |
| As time | 72825 seconds = 20 h 13 min 45 s |
Is 72825 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 (72825 ÷ 3 = 24275) | 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 (72825 ÷ 5 = 14565) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | 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 72825 a prime number?
No. 72825 = 3 × × 971, so it is divisible by 3.
What are the factors of 72825?
1, 3, 5, 15, 25, 75, 971, 2913, 4855, 14565, 24275, 72825.
What is 72825 in binary?
10001110001111001 (hexadecimal 11C79, octal 216171).
What is the square root of 72825?
About 269.8611, exactly 5√2913.
Is 72825 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 72825?
It is a composite number with 12 divisors.