The number 77198
77198 is a composite number with 16 divisors. Its prime factorisation is 2 × × 29. Divisors (16): 1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 1331, 2662, 3509, 7018, 38599, 77198.
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How to work it out
- 1
77198 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77198 is composite. Its prime factorisation is
- 3
The divisors add up to 131760; without 77198 itself that is 54562, so 77198 is deficient (54562 is less than 77198). Euler's totient φ(77198) = 33880 numbers up to 77198 share no factor with it.
- 4
The digits of 77198 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77198 = 2 \times 11^{3} \times 29 \]77198 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131760 |
| Euler totient φ(n) | 33880 |
| Square | 5959531204 |
| Cube | 460063889886392 |
| Square root | 277.845281 (= 11√638) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7198 × |
77198 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and ninety-eight |
| Binary (base 2) | 10010110110001110 |
| Octal (base 8) | 226616 |
| Hexadecimal (base 16) | 12D8E |
| Base 3 | 10220220012 |
| As time | 77198 seconds = 21 h 26 min 38 s |
Is 77198 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77198 ÷ 2 = 38599) | 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 | No (remainder 2) | 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 2) | 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 6) | 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 | Yes (77198 ÷ 11 = 7018) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77198 a prime number?
No. 77198 = 2 × × 29, so it is divisible by 2.
What are the factors of 77198?
1, 2, 11, 22, 29, 58, 121, 242, 319, 638, 1331, 2662, 3509, 7018, 38599, 77198.
What is 77198 in binary?
10010110110001110 (hexadecimal 12D8E, octal 226616).
What is the square root of 77198?
About 277.8453, exactly 11√638.
Is 77198 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 77198?
It is a composite number with 16 divisors.