The number 77316
77316 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 379. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 379, 758, 1137, 1516 … 77316.
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How to work it out
- 1
77316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77316 is composite. Its prime factorisation is
- 3
The divisors add up to 191520; without 77316 itself that is 114204, so 77316 is abundant (114204 is more than 77316). Euler's totient φ(77316) = 24192 numbers up to 77316 share no factor with it.
- 4
The digits of 77316 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77316 = 2^{2} \times 3 \times 17 \times 379 \]77316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 191520 |
| Euler totient φ(n) | 24192 |
| Square | 5977763856 |
| Cube | 462176790290496 |
| Square root | 278.057548 (= 2√19329) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7316 × |
77316 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and sixteen |
| Binary (base 2) | 10010111000000100 |
| Octal (base 8) | 227004 |
| Hexadecimal (base 16) | 12E04 |
| Base 3 | 10221001120 |
| As time | 77316 seconds = 21 h 28 min 36 s |
Is 77316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77316 ÷ 2 = 38658) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77316 ÷ 3 = 25772) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77316 ÷ 4 = 19329) | 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 | Yes (77316 ÷ 6 = 12886) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77316 ÷ 12 = 6443) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77316 a prime number?
No. 77316 = × 3 × 17 × 379, so it is divisible by 2.
What are the factors of 77316?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 379, 758, 1137, 1516, 2274, 4548, 6443, 12886, 19329, 25772, 38658, 77316.
What is 77316 in binary?
10010111000000100 (hexadecimal 12E04, octal 227004).
What is the square root of 77316?
About 278.0575, exactly 2√19329.
Is 77316 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 77316?
It is a composite number with 24 divisors.