The number 9625
9625 is a composite number with 16 divisors. Its prime factorisation is × 7 × 11. Divisors (16): 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9625 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9625 is composite. Its prime factorisation is
- 3
The divisors add up to 14976; without 9625 itself that is 5351, so 9625 is deficient (5351 is less than 9625). Euler's totient φ(9625) = 6000 numbers up to 9625 share no factor with it.
- 4
The digits of 9625 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9625 = 5^{3} \times 7 \times 11 \]9625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 14976 |
| Euler totient φ(n) | 6000 |
| Square | 92640625 |
| Cube | 891666015625 |
| Square root | 98.107084 (= 5√385) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.625 × |
9625 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and twenty-five |
| Binary (base 2) | 10010110011001 |
| Octal (base 8) | 22631 |
| Hexadecimal (base 16) | 2599 |
| Base 3 | 111012111 |
| As time | 9625 seconds = 2 h 40 min 25 s |
Is 9625 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 (9625 ÷ 5 = 1925) | 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 (9625 ÷ 7 = 1375) | 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 4) | 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 | Yes (9625 ÷ 11 = 875) | 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 9625 a prime number?
No. 9625 = × 7 × 11, so it is divisible by 5.
What are the factors of 9625?
1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 875, 1375, 1925, 9625.
What is 9625 in binary?
10010110011001 (hexadecimal 2599, octal 22631).
What is the square root of 9625?
About 98.1071, exactly 5√385.
Is 9625 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9625?
It is a composite number with 16 divisors.