The number 77213
77213 is the 7585th prime number. Its only divisors are 1 and 77213.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77213: the 7585th prime number.
- 2
77213 is prime, so its only factors are 1 and 77213. It is the 7585th prime; the next prime is 77237 and the one before is 77201.
- 3
The divisors add up to 77214; without 77213 itself that is 1, so 77213 is deficient (1 is less than 77213). Euler's totient φ(77213) = 77212 numbers up to 77213 share no factor with it.
- 4
The digits of 77213 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
77213 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77214 |
| Euler totient φ(n) | 77212 |
| Square | 5961847369 |
| Cube | 460332120902597 |
| Square root | 277.872273 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7213 × |
77213 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and thirteen |
| Binary (base 2) | 10010110110011101 |
| Octal (base 8) | 226635 |
| Hexadecimal (base 16) | 12D9D |
| Base 3 | 10220220202 |
| As time | 77213 seconds = 21 h 26 min 53 s |
Is 77213 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 3) | 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 2) | 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 4) | 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 77213 a prime number?
Yes. 77213 is divisible only by 1 and itself.
What are the factors of 77213?
1, 77213.
What is 77213 in binary?
10010110110011101 (hexadecimal 12D9D, octal 226635).
What is the square root of 77213?
About 277.8723.
Is 77213 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 77213?
77213 is the 7585th prime number.