The number 60149
60149 is the 6073rd prime number. Its only divisors are 1 and 60149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60149: the 6073rd prime number.
- 2
60149 is prime, so its only factors are 1 and 60149. It is the 6073rd prime; the next prime is 60161 and the one before is 60139.
- 3
The divisors add up to 60150; without 60149 itself that is 1, so 60149 is deficient (1 is less than 60149). Euler's totient φ(60149) = 60148 numbers up to 60149 share no factor with it.
- 4
The digits of 60149 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
60149 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60150 |
| Euler totient φ(n) | 60148 |
| Square | 3617902201 |
| Cube | 217613199487949 |
| Square root | 245.252931 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0149 × |
60149 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and forty-nine |
| Binary (base 2) | 1110101011110101 |
| Octal (base 8) | 165365 |
| Hexadecimal (base 16) | EAF5 |
| Base 3 | 10001111202 |
| As time | 60149 seconds = 16 h 42 min 29 s |
Is 60149 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 4) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 60149 a prime number?
Yes. 60149 is divisible only by 1 and itself.
What are the factors of 60149?
1, 60149.
What is 60149 in binary?
1110101011110101 (hexadecimal EAF5, octal 165365).
What is the square root of 60149?
About 245.2529.
Is 60149 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 60149?
60149 is the 6073rd prime number.