The number 9925
9925 is a composite number with 6 divisors. Its prime factorisation is Ć 397. Divisors (6): 1, 5, 25, 397, 1985, 9925.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9925: a Harshad number: divisible by its digit sum 25.
- 2
9925 is composite. Its prime factorisation is
- 3
The divisors add up to 12338; without 9925 itself that is 2413, so 9925 is deficient (2413 is less than 9925). Euler's totient Ļ(9925) = 7920 numbers up to 9925 share no factor with it.
- 4
The digits of 9925 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9925 = 5^{2} \times 397 \]9925 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 12338 |
| Euler totient Ļ(n) | 7920 |
| Square | 98505625 |
| Cube | 977668328125 |
| Square root | 99.624294 (= 5ā397) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 9.925 Ć |
9925 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and twenty-five |
| Binary (base 2) | 10011011000101 |
| Octal (base 8) | 23305 |
| Hexadecimal (base 16) | 26C5 |
| Base 3 | 111121121 |
| As time | 9925 seconds = 2 h 45 min 25 s |
Is 9925 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 (9925 Ć· 5 = 1985) | 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 | No (remainder 6) | 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 3) | 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 9925 a prime number?
No. 9925 = Ć 397, so it is divisible by 5.
What are the factors of 9925?
1, 5, 25, 397, 1985, 9925.
What is 9925 in binary?
10011011000101 (hexadecimal 26C5, octal 23305).
What is the square root of 9925?
About 99.6243, exactly 5ā397.
Is 9925 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9925?
9925 is a Harshad number: divisible by its digit sum 25.