The number 59077
59077 is the 5973rd prime number. Its only divisors are 1 and 59077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 59077: the 5973rd prime number.
- 2
59077 is prime, so its only factors are 1 and 59077. It is the 5973rd prime; the next prime is 59083 and the one before is 59069.
- 3
The divisors add up to 59078; without 59077 itself that is 1, so 59077 is deficient (1 is less than 59077). Euler's totient φ(59077) = 59076 numbers up to 59077 share no factor with it.
- 4
The digits of 59077 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
59077 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 59078 |
| Euler totient φ(n) | 59076 |
| Square | 3490091929 |
| Cube | 206184160889533 |
| Square root | 243.057606 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.9077 × |
59077 in other forms
| Form | Value |
|---|---|
| In words | fifty-nine thousand and seventy-seven |
| Binary (base 2) | 1110011011000101 |
| Octal (base 8) | 163305 |
| Hexadecimal (base 16) | E6C5 |
| Base 3 | 10000001001 |
| As time | 59077 seconds = 16 h 24 min 37 s |
Is 59077 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 4) | 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 7) | 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 59077 a prime number?
Yes. 59077 is divisible only by 1 and itself.
What are the factors of 59077?
1, 59077.
What is 59077 in binary?
1110011011000101 (hexadecimal E6C5, octal 163305).
What is the square root of 59077?
About 243.0576.
Is 59077 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 59077?
59077 is the 5973rd prime number.