The number 77249
77249 is the 7589th prime number. Its only divisors are 1 and 77249.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77249: the 7589th prime number.
- 2
77249 is prime, so its only factors are 1 and 77249. It is the 7589th prime; the next prime is 77261 and the one before is 77243.
- 3
The divisors add up to 77250; without 77249 itself that is 1, so 77249 is deficient (1 is less than 77249). Euler's totient φ(77249) = 77248 numbers up to 77249 share no factor with it.
- 4
The digits of 77249 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
77249 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77250 |
| Euler totient φ(n) | 77248 |
| Square | 5967408001 |
| Cube | 460976300669249 |
| Square root | 277.937043 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.7249 × |
77249 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and forty-nine |
| Binary (base 2) | 10010110111000001 |
| Octal (base 8) | 226701 |
| Hexadecimal (base 16) | 12DC1 |
| Base 3 | 10220222002 |
| As time | 77249 seconds = 21 h 27 min 29 s |
Is 77249 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 4) | 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 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 1) | 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 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77249 a prime number?
Yes. 77249 is divisible only by 1 and itself.
What are the factors of 77249?
1, 77249.
What is 77249 in binary?
10010110111000001 (hexadecimal 12DC1, octal 226701).
What is the square root of 77249?
About 277.9370.
Is 77249 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 77249?
77249 is the 7589th prime number.