The number 60961
60961 is the 6145th prime number. Its only divisors are 1 and 60961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60961: the 6145th prime number.
- 2
60961 is prime, so its only factors are 1 and 60961. It is the 6145th prime; the next prime is 61001 and the one before is 60953.
- 3
The divisors add up to 60962; without 60961 itself that is 1, so 60961 is deficient (1 is less than 60961). Euler's totient φ(60961) = 60960 numbers up to 60961 share no factor with it.
- 4
The digits of 60961 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 179 steps to reach 1.
60961 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60962 |
| Euler totient φ(n) | 60960 |
| Square | 3716243521 |
| Cube | 226545921283681 |
| Square root | 246.902815 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 179 |
| Scientific notation | 6.0961 × |
60961 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand nine hundred and sixty-one |
| Binary (base 2) | 1110111000100001 |
| Octal (base 8) | 167041 |
| Hexadecimal (base 16) | EE21 |
| Base 3 | 10002121211 |
| As time | 60961 seconds = 16 h 56 min 1 s |
Is 60961 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 60961 a prime number?
Yes. 60961 is divisible only by 1 and itself.
What are the factors of 60961?
1, 60961.
What is 60961 in binary?
1110111000100001 (hexadecimal EE21, octal 167041).
What is the square root of 60961?
About 246.9028.
Is 60961 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 60961?
60961 is the 6145th prime number.