The number 77364
77364 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 307. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84 … 77364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77364 is composite. Its prime factorisation is
- 3
The divisors add up to 224224; without 77364 itself that is 146860, so 77364 is abundant (146860 is more than 77364). Euler's totient φ(77364) = 22032 numbers up to 77364 share no factor with it.
- 4
The digits of 77364 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77364 = 2^{2} \times 3^{2} \times 7 \times 307 \]77364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 224224 |
| Euler totient φ(n) | 22032 |
| Square | 5985188496 |
| Cube | 463038122804544 |
| Square root | 278.143848 (= 6√2149) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 24 |
| Scientific notation | 7.7364 × |
77364 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and sixty-four |
| Binary (base 2) | 10010111000110100 |
| Octal (base 8) | 227064 |
| Hexadecimal (base 16) | 12E34 |
| Base 3 | 10221010100 |
| As time | 77364 seconds = 21 h 29 min 24 s |
Is 77364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77364 ÷ 2 = 38682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77364 ÷ 3 = 25788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77364 ÷ 4 = 19341) | 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 | Yes (77364 ÷ 6 = 12894) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77364 ÷ 7 = 11052) | 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 | Yes (77364 ÷ 9 = 8596) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (77364 ÷ 12 = 6447) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77364 a prime number?
No. 77364 = × × 7 × 307, so it is divisible by 2.
What are the factors of 77364?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252, 307, 614, 921, 1228, 1842, 2149, 2763, 3684, 4298, 5526, 6447, 8596, 11052, 12894, 19341, 25788, 38682, 77364.
What is 77364 in binary?
10010111000110100 (hexadecimal 12E34, octal 227064).
What is the square root of 77364?
About 278.1438, exactly 6√2149.
Is 77364 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77364?
It is a composite number with 36 divisors.