The number 60601
60601 is the 6106th prime number. Its only divisors are 1 and 60601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60601: the 6106th prime number.
- 2
60601 is prime, so its only factors are 1 and 60601. It is the 6106th prime; the next prime is 60607 and the one before is 60589.
- 3
The divisors add up to 60602; without 60601 itself that is 1, so 60601 is deficient (1 is less than 60601). Euler's totient φ(60601) = 60600 numbers up to 60601 share no factor with it.
- 4
The digits of 60601 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
60601 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60602 |
| Euler totient φ(n) | 60600 |
| Square | 3672481201 |
| Cube | 222556033261801 |
| Square root | 246.172704 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 210 |
| Scientific notation | 6.0601 × |
60601 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand six hundred and one |
| Binary (base 2) | 1110110010111001 |
| Octal (base 8) | 166271 |
| Hexadecimal (base 16) | ECB9 |
| Base 3 | 10002010111 |
| As time | 60601 seconds = 16 h 50 min 1 s |
Is 60601 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 2) | 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 2) | 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 60601 a prime number?
Yes. 60601 is divisible only by 1 and itself.
What are the factors of 60601?
1, 60601.
What is 60601 in binary?
1110110010111001 (hexadecimal ECB9, octal 166271).
What is the square root of 60601?
About 246.1727.
Is 60601 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 60601?
60601 is the 6106th prime number.