The number 77908
77908 is a composite number with 6 divisors. Its prime factorisation is × 19477. Divisors (6): 1, 2, 4, 19477, 38954, 77908.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77908 is composite. Its prime factorisation is
- 3
The divisors add up to 136346; without 77908 itself that is 58438, so 77908 is deficient (58438 is less than 77908). Euler's totient φ(77908) = 38952 numbers up to 77908 share no factor with it.
- 4
The digits of 77908 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77908 = 2^{2} \times 19477 \]77908 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 136346 |
| Euler totient φ(n) | 38952 |
| Square | 6069656464 |
| Cube | 472874795797312 |
| Square root | 279.120046 (= 2√19477) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7908 × |
77908 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and eight |
| Binary (base 2) | 10011000001010100 |
| Octal (base 8) | 230124 |
| Hexadecimal (base 16) | 13054 |
| Base 3 | 10221212111 |
| As time | 77908 seconds = 21 h 38 min 28 s |
Is 77908 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77908 ÷ 2 = 38954) | 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 (77908 ÷ 4 = 19477) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 6) | 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 77908 a prime number?
No. 77908 = × 19477, so it is divisible by 2.
What are the factors of 77908?
1, 2, 4, 19477, 38954, 77908.
What is 77908 in binary?
10011000001010100 (hexadecimal 13054, octal 230124).
What is the square root of 77908?
About 279.1200, exactly 2√19477.
Is 77908 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 77908?
It is a composite number with 6 divisors.