The number 77031
77031 is a composite number with 12 divisors. Its prime factorisation is × 317. Divisors (12): 1, 3, 9, 27, 81, 243, 317, 951, 2853, 8559, 25677, 77031.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77031 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77031 is composite. Its prime factorisation is
- 3
The divisors add up to 115752; without 77031 itself that is 38721, so 77031 is deficient (38721 is less than 77031). Euler's totient φ(77031) = 51192 numbers up to 77031 share no factor with it.
- 4
The digits of 77031 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 350 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77031 = 3^{5} \times 317 \]77031 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 115752 |
| Euler totient φ(n) | 51192 |
| Square | 5933774961 |
| Cube | 457084619020791 |
| Square root | 277.544591 (= 9√951) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 350 |
| Scientific notation | 7.7031 × |
77031 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and thirty-one |
| Binary (base 2) | 10010110011100111 |
| Octal (base 8) | 226347 |
| Hexadecimal (base 16) | 12CE7 |
| Base 3 | 10220200000 |
| As time | 77031 seconds = 21 h 23 min 51 s |
Is 77031 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 | Yes (77031 ÷ 3 = 25677) | 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 3) | 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 | Yes (77031 ÷ 9 = 8559) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77031 a prime number?
No. 77031 = × 317, so it is divisible by 3.
What are the factors of 77031?
1, 3, 9, 27, 81, 243, 317, 951, 2853, 8559, 25677, 77031.
What is 77031 in binary?
10010110011100111 (hexadecimal 12CE7, octal 226347).
What is the square root of 77031?
About 277.5446, exactly 9√951.
Is 77031 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 77031?
It is a composite number with 12 divisors.