The number 77029
77029 is the 7571st prime number. Its only divisors are 1 and 77029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77029: the 7571st prime number.
- 2
77029 is prime, so its only factors are 1 and 77029. It is the 7571st prime; the next prime is 77041 and the one before is 77023.
- 3
The divisors add up to 77030; without 77029 itself that is 1, so 77029 is deficient (1 is less than 77029). Euler's totient φ(77029) = 77028 numbers up to 77029 share no factor with it.
- 4
The digits of 77029 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
77029 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77030 |
| Euler totient φ(n) | 77028 |
| Square | 5933466841 |
| Cube | 457049017295389 |
| Square root | 277.540988 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7029 × |
77029 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and twenty-nine |
| Binary (base 2) | 10010110011100101 |
| Octal (base 8) | 226345 |
| Hexadecimal (base 16) | 12CE5 |
| Base 3 | 10220122221 |
| As time | 77029 seconds = 21 h 23 min 49 s |
Is 77029 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 4) | 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 1) | 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 7) | 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 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 77029 a prime number?
Yes. 77029 is divisible only by 1 and itself.
What are the factors of 77029?
1, 77029.
What is 77029 in binary?
10010110011100101 (hexadecimal 12CE5, octal 226345).
What is the square root of 77029?
About 277.5410.
Is 77029 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77029?
77029 is the 7571st prime number.