The number 77201
77201 is the 7584th prime number. Its only divisors are 1 and 77201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77201: the 7584th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77201 is prime, so its only factors are 1 and 77201. It is the 7584th prime; the next prime is 77213 and the one before is 77191.
- 3
The divisors add up to 77202; without 77201 itself that is 1, so 77201 is deficient (1 is less than 77201). Euler's totient φ(77201) = 77200 numbers up to 77201 share no factor with it.
- 4
The digits of 77201 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
77201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77202 |
| Euler totient φ(n) | 77200 |
| Square | 5959994401 |
| Cube | 460117527751601 |
| Square root | 277.850679 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7201 × |
77201 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and one |
| Binary (base 2) | 10010110110010001 |
| Octal (base 8) | 226621 |
| Hexadecimal (base 16) | 12D91 |
| Base 3 | 10220220022 |
| As time | 77201 seconds = 21 h 26 min 41 s |
Is 77201 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 1) | 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 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 77201 a prime number?
Yes. 77201 is divisible only by 1 and itself.
What are the factors of 77201?
1, 77201.
What is 77201 in binary?
10010110110010001 (hexadecimal 12D91, octal 226621).
What is the square root of 77201?
About 277.8507.
Is 77201 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 77201?
77201 is the 7584th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.