The number 77308
77308 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 251. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 251, 308, 502, 1004, 1757 … 77308.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77308 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77308 is composite. Its prime factorisation is
- 3
The divisors add up to 169344; without 77308 itself that is 92036, so 77308 is abundant (92036 is more than 77308). Euler's totient φ(77308) = 30000 numbers up to 77308 share no factor with it.
- 4
The digits of 77308 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77308 = 2^{2} \times 7 \times 11 \times 251 \]77308 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 169344 |
| Euler totient φ(n) | 30000 |
| Square | 5976526864 |
| Cube | 462033338802112 |
| Square root | 278.043162 (= 2√19327) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.7308 × |
77308 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand three hundred and eight |
| Binary (base 2) | 10010110111111100 |
| Octal (base 8) | 226774 |
| Hexadecimal (base 16) | 12DFC |
| Base 3 | 10221001021 |
| As time | 77308 seconds = 21 h 28 min 28 s |
Is 77308 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77308 ÷ 2 = 38654) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (77308 ÷ 4 = 19327) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77308 ÷ 7 = 11044) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (77308 ÷ 11 = 7028) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77308 a prime number?
No. 77308 = × 7 × 11 × 251, so it is divisible by 2.
What are the factors of 77308?
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 251, 308, 502, 1004, 1757, 2761, 3514, 5522, 7028, 11044, 19327, 38654, 77308.
What is 77308 in binary?
10010110111111100 (hexadecimal 12DFC, octal 226774).
What is the square root of 77308?
About 278.0432, exactly 2√19327.
Is 77308 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 77308?
It is a composite number with 24 divisors.