The number 77311
77311 is a composite number with 8 divisors. Its prime factorisation is 13 × 19 × 313. Divisors (8): 1, 13, 19, 247, 313, 4069, 5947, 77311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77311: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
77311 is composite. Its prime factorisation is
- 3
The divisors add up to 87920; without 77311 itself that is 10609, so 77311 is deficient (10609 is less than 77311). Euler's totient φ(77311) = 67392 numbers up to 77311 share no factor with it.
- 4
The digits of 77311 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77311 = 13 \times 19 \times 313 \]
77311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 87920 |
| Euler totient φ(n) | 67392 |
| Square | 5976990721 |
| Cube | 462087129631231 |
| Square root | 278.048557 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 213 |
| Scientific notation | 7.7311 × |
77311 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and eleven |
| Binary (base 2) | 10010110111111111 |
| Octal (base 8) | 226777 |
| Hexadecimal (base 16) | 12DFF |
| Base 3 | 10221001101 |
| As time | 77311 seconds = 21 h 28 min 31 s |
Is 77311 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77311 a prime number?
No. 77311 = 13 × 19 × 313, so it is divisible by 13.
What are the factors of 77311?
1, 13, 19, 247, 313, 4069, 5947, 77311.
What is 77311 in binary?
10010110111111111 (hexadecimal 12DFF, octal 226777).
What is the square root of 77311?
About 278.0486.
Is 77311 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 77311?
77311 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.