The number 77108
77108 is a composite number with 12 divisors. Its prime factorisation is × 37 × 521. Divisors (12): 1, 2, 4, 37, 74, 148, 521, 1042, 2084, 19277, 38554, 77108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77108 is composite. Its prime factorisation is
- 3
The divisors add up to 138852; without 77108 itself that is 61744, so 77108 is deficient (61744 is less than 77108). Euler's totient φ(77108) = 37440 numbers up to 77108 share no factor with it.
- 4
The digits of 77108 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77108 = 2^{2} \times 37 \times 521 \]77108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 138852 |
| Euler totient φ(n) | 37440 |
| Square | 5945643664 |
| Cube | 458456691643712 |
| Square root | 277.683273 (= 2√19277) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.7108 × |
77108 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and eight |
| Binary (base 2) | 10010110100110100 |
| Octal (base 8) | 226464 |
| Hexadecimal (base 16) | 12D34 |
| Base 3 | 10220202212 |
| As time | 77108 seconds = 21 h 25 min 8 s |
Is 77108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77108 ÷ 2 = 38554) | 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 (77108 ÷ 4 = 19277) | 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 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 | No (remainder 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 77108 a prime number?
No. 77108 = × 37 × 521, so it is divisible by 2.
What are the factors of 77108?
1, 2, 4, 37, 74, 148, 521, 1042, 2084, 19277, 38554, 77108.
What is 77108 in binary?
10010110100110100 (hexadecimal 12D34, octal 226464).
What is the square root of 77108?
About 277.6833, exactly 2√19277.
Is 77108 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 77108?
It is a composite number with 12 divisors.