The number 76311
76311 is a composite number with 12 divisors. Its prime factorisation is × 61 × 139. Divisors (12): 1, 3, 9, 61, 139, 183, 417, 549, 1251, 8479, 25437, 76311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76311 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76311 is composite. Its prime factorisation is
- 3
The divisors add up to 112840; without 76311 itself that is 36529, so 76311 is deficient (36529 is less than 76311). Euler's totient φ(76311) = 49680 numbers up to 76311 share no factor with it.
- 4
The digits of 76311 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76311 = 3^{2} \times 61 \times 139 \]76311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112840 |
| Euler totient φ(n) | 49680 |
| Square | 5823368721 |
| Cube | 444387090468231 |
| Square root | 276.244457 (= 3√8479) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6311 × |
76311 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand three hundred and eleven |
| Binary (base 2) | 10010101000010111 |
| Octal (base 8) | 225027 |
| Hexadecimal (base 16) | 12A17 |
| Base 3 | 10212200100 |
| As time | 76311 seconds = 21 h 11 min 51 s |
Is 76311 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 (76311 ÷ 3 = 25437) | 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 4) | 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 (76311 ÷ 9 = 8479) | 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 4) | 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 76311 a prime number?
No. 76311 = × 61 × 139, so it is divisible by 3.
What are the factors of 76311?
1, 3, 9, 61, 139, 183, 417, 549, 1251, 8479, 25437, 76311.
What is 76311 in binary?
10010101000010111 (hexadecimal 12A17, octal 225027).
What is the square root of 76311?
About 276.2445, exactly 3√8479.
Is 76311 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 76311?
It is a composite number with 12 divisors.