The number 60101
60101 is a twin prime (60101 and 60103 are both prime) and the 6067th prime number. Its only divisors are 1 and 60101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60101: a twin prime (60101 and 60103 are both prime); the 6067th prime number.
- 2
60101 is prime, so its only factors are 1 and 60101. It is the 6067th prime; the next prime is 60103 and the one before is 60091.
- 3
The divisors add up to 60102; without 60101 itself that is 1, so 60101 is deficient (1 is less than 60101). Euler's totient φ(60101) = 60100 numbers up to 60101 share no factor with it.
- 4
The digits of 60101 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
60101 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60102 |
| Euler totient φ(n) | 60100 |
| Square | 3612130201 |
| Cube | 217092637210301 |
| Square root | 245.155053 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0101 × |
60101 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and one |
| Binary (base 2) | 1110101011000101 |
| Octal (base 8) | 165305 |
| Hexadecimal (base 16) | EAC5 |
| Base 3 | 10001102222 |
| As time | 60101 seconds = 16 h 41 min 41 s |
Is 60101 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 2) | 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 5) | 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 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60101 a prime number?
Yes. 60101 is divisible only by 1 and itself.
What are the factors of 60101?
1, 60101.
What is 60101 in binary?
1110101011000101 (hexadecimal EAC5, octal 165305).
What is the square root of 60101?
About 245.1551.
Is 60101 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 60101?
60101 is a twin prime (60101 and 60103 are both prime); the 6067th prime number.