The number 77093
77093 is the 7576th prime number. Its only divisors are 1 and 77093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77093: the 7576th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77093 is prime, so its only factors are 1 and 77093. It is the 7576th prime; the next prime is 77101 and the one before is 77081.
- 3
The divisors add up to 77094; without 77093 itself that is 1, so 77093 is deficient (1 is less than 77093). Euler's totient φ(77093) = 77092 numbers up to 77093 share no factor with it.
- 4
The digits of 77093 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
77093 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77094 |
| Euler totient φ(n) | 77092 |
| Square | 5943330649 |
| Cube | 458189189723357 |
| Square root | 277.656262 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7093 × |
77093 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and ninety-three |
| Binary (base 2) | 10010110100100101 |
| Octal (base 8) | 226445 |
| Hexadecimal (base 16) | 12D25 |
| Base 3 | 10220202022 |
| As time | 77093 seconds = 21 h 24 min 53 s |
Is 77093 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 3) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 77093 a prime number?
Yes. 77093 is divisible only by 1 and itself.
What are the factors of 77093?
1, 77093.
What is 77093 in binary?
10010110100100101 (hexadecimal 12D25, octal 226445).
What is the square root of 77093?
About 277.6563.
Is 77093 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77093?
77093 is the 7576th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.