The number 60077
60077 is the 6063rd prime number. Its only divisors are 1 and 60077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60077: the 6063rd prime number.
- 2
60077 is prime, so its only factors are 1 and 60077. It is the 6063rd prime; the next prime is 60083 and the one before is 60041.
- 3
The divisors add up to 60078; without 60077 itself that is 1, so 60077 is deficient (1 is less than 60077). Euler's totient φ(60077) = 60076 numbers up to 60077 share no factor with it.
- 4
The digits of 60077 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 135 steps to reach 1.
60077 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60078 |
| Euler totient φ(n) | 60076 |
| Square | 3609245929 |
| Cube | 216832667676533 |
| Square root | 245.106099 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.0077 × |
60077 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and seventy-seven |
| Binary (base 2) | 1110101010101101 |
| Octal (base 8) | 165255 |
| Hexadecimal (base 16) | EAAD |
| Base 3 | 10001102002 |
| As time | 60077 seconds = 16 h 41 min 17 s |
Is 60077 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 2) | 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 60077 a prime number?
Yes. 60077 is divisible only by 1 and itself.
What are the factors of 60077?
1, 60077.
What is 60077 in binary?
1110101010101101 (hexadecimal EAAD, octal 165255).
What is the square root of 60077?
About 245.1061.
Is 60077 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 60077?
60077 is the 6063rd prime number.