The number 77360
77360 is a composite number with 20 divisors. Its prime factorisation is × 5 × 967. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 967, 1934, 3868, 4835, 7736, 9670 … 77360.
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How to work it out
- 1
77360 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77360 is composite. Its prime factorisation is
- 3
The divisors add up to 180048; without 77360 itself that is 102688, so 77360 is abundant (102688 is more than 77360). Euler's totient φ(77360) = 30912 numbers up to 77360 share no factor with it.
- 4
The digits of 77360 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 24 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77360 = 2^{4} \times 5 \times 967 \]77360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 180048 |
| Euler totient φ(n) | 30912 |
| Square | 5984569600 |
| Cube | 462966304256000 |
| Square root | 278.136657 (= 4√4835) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 24 |
| Scientific notation | 7.736 × |
77360 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and sixty |
| Binary (base 2) | 10010111000110000 |
| Octal (base 8) | 227060 |
| Hexadecimal (base 16) | 12E30 |
| Base 3 | 10221010012 |
| As time | 77360 seconds = 21 h 29 min 20 s |
Is 77360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77360 ÷ 2 = 38680) | 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 (77360 ÷ 4 = 19340) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (77360 ÷ 5 = 15472) | 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 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 | Yes (77360 ÷ 8 = 9670) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (77360 ÷ 10 = 7736) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77360 a prime number?
No. 77360 = × 5 × 967, so it is divisible by 2.
What are the factors of 77360?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 967, 1934, 3868, 4835, 7736, 9670, 15472, 19340, 38680, 77360.
What is 77360 in binary?
10010111000110000 (hexadecimal 12E30, octal 227060).
What is the square root of 77360?
About 278.1367, exactly 4√4835.
Is 77360 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77360?
It is a composite number with 20 divisors.