The number 9601
9601 is the 1185th prime number. Its only divisors are 1 and 9601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9601: the 1185th prime number.
- 2
9601 is prime, so its only factors are 1 and 9601. It is the 1185th prime; the next prime is 9613 and the one before is 9587.
- 3
The divisors add up to 9602; without 9601 itself that is 1, so 9601 is deficient (1 is less than 9601). Euler's totient φ(9601) = 9600 numbers up to 9601 share no factor with it.
- 4
The digits of 9601 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
9601 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9602 |
| Euler totient φ(n) | 9600 |
| Square | 92179201 |
| Cube | 885012508801 |
| Square root | 97.984693 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.601 × |
9601 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and one |
| Binary (base 2) | 10010110000001 |
| Octal (base 8) | 22601 |
| Hexadecimal (base 16) | 2581 |
| Base 3 | 111011121 |
| As time | 9601 seconds = 2 h 40 min 1 s |
Is 9601 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 | No (remainder 1) | 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 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 9601 a prime number?
Yes. 9601 is divisible only by 1 and itself.
What are the factors of 9601?
1, 9601.
What is 9601 in binary?
10010110000001 (hexadecimal 2581, octal 22601).
What is the square root of 9601?
About 97.9847.
Is 9601 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9601?
9601 is the 1185th prime number.