The number 5077
5077 is the 678th prime number. Its only divisors are 1 and 5077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5077: the 678th prime number.
- 2
5077 is prime, so its only factors are 1 and 5077. It is the 678th prime; the next prime is 5081 and the one before is 5059.
- 3
The divisors add up to 5078; without 5077 itself that is 1, so 5077 is deficient (1 is less than 5077). Euler's totient φ(5077) = 5076 numbers up to 5077 share no factor with it.
- 4
The digits of 5077 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
5077 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5078 |
| Euler totient φ(n) | 5076 |
| Square | 25775929 |
| Cube | 130864391533 |
| Square root | 71.253070 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.077 × |
5077 in other forms
| Form | Value |
|---|---|
| In words | five thousand and seventy-seven |
| Binary (base 2) | 1001111010101 |
| Octal (base 8) | 11725 |
| Hexadecimal (base 16) | 13D5 |
| Base 3 | 20222001 |
| As time | 5077 seconds = 1 h 24 min 37 s |
Is 5077 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 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5077 a prime number?
Yes. 5077 is divisible only by 1 and itself.
What are the factors of 5077?
1, 5077.
What is 5077 in binary?
1001111010101 (hexadecimal 13D5, octal 11725).
What is the square root of 5077?
About 71.2531.
Is 5077 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5077?
5077 is the 678th prime number.