The number 77101
77101 is the 7577th prime number. Its only divisors are 1 and 77101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77101: the 7577th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
77101 is prime, so its only factors are 1 and 77101. It is the 7577th prime; the next prime is 77137 and the one before is 77093.
- 3
The divisors add up to 77102; without 77101 itself that is 1, so 77101 is deficient (1 is less than 77101). Euler's totient φ(77101) = 77100 numbers up to 77101 share no factor with it.
- 4
The digits of 77101 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
77101 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 77102 |
| Euler totient φ(n) | 77100 |
| Square | 5944564201 |
| Cube | 458331844461301 |
| Square root | 277.670668 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7101 × |
77101 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and one |
| Binary (base 2) | 10010110100101101 |
| Octal (base 8) | 226455 |
| Hexadecimal (base 16) | 12D2D |
| Base 3 | 10220202121 |
| As time | 77101 seconds = 21 h 25 min 1 s |
Is 77101 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 1) | 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 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 7) | 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 2) | 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 77101 a prime number?
Yes. 77101 is divisible only by 1 and itself.
What are the factors of 77101?
1, 77101.
What is 77101 in binary?
10010110100101101 (hexadecimal 12D2D, octal 226455).
What is the square root of 77101?
About 277.6707.
Is 77101 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 77101?
77101 is the 7577th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.