The number 77264
77264 is a composite number with 20 divisors. Its prime factorisation is × 11 × 439. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 439, 878, 1756, 3512, 4829, 7024 … 77264.
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How to work it out
- 1
77264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77264 is composite. Its prime factorisation is
- 3
The divisors add up to 163680; without 77264 itself that is 86416, so 77264 is abundant (86416 is more than 77264). Euler's totient φ(77264) = 35040 numbers up to 77264 share no factor with it.
- 4
The digits of 77264 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77264 = 2^{4} \times 11 \times 439 \]77264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 163680 |
| Euler totient φ(n) | 35040 |
| Square | 5969725696 |
| Cube | 461244886175744 |
| Square root | 277.964026 (= 4√4829) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7264 × |
77264 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand two hundred and sixty-four |
| Binary (base 2) | 10010110111010000 |
| Octal (base 8) | 226720 |
| Hexadecimal (base 16) | 12DD0 |
| Base 3 | 10220222122 |
| As time | 77264 seconds = 21 h 27 min 44 s |
Is 77264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77264 ÷ 2 = 38632) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77264 ÷ 4 = 19316) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (77264 ÷ 8 = 9658) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77264 ÷ 11 = 7024) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77264 a prime number?
No. 77264 = × 11 × 439, so it is divisible by 2.
What are the factors of 77264?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 439, 878, 1756, 3512, 4829, 7024, 9658, 19316, 38632, 77264.
What is 77264 in binary?
10010110111010000 (hexadecimal 12DD0, octal 226720).
What is the square root of 77264?
About 277.9640, exactly 4√4829.
Is 77264 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 77264?
It is a composite number with 20 divisors.