The number 77193
77193 is a composite number with 10 divisors. Its prime factorisation is × 953. Divisors (10): 1, 3, 9, 27, 81, 953, 2859, 8577, 25731, 77193.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77193: a Harshad number: divisible by its digit sum 27.
- 2
77193 is composite. Its prime factorisation is
- 3
The divisors add up to 115434; without 77193 itself that is 38241, so 77193 is deficient (38241 is less than 77193). Euler's totient φ(77193) = 51408 numbers up to 77193 share no factor with it.
- 4
The digits of 77193 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77193 = 3^{4} \times 953 \]77193 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 115434 |
| Euler totient φ(n) | 51408 |
| Square | 5958759249 |
| Cube | 459974502708057 |
| Square root | 277.836283 (= 9√953) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 213 |
| Scientific notation | 7.7193 × |
77193 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand one hundred and ninety-three |
| Binary (base 2) | 10010110110001001 |
| Octal (base 8) | 226611 |
| Hexadecimal (base 16) | 12D89 |
| Base 3 | 10220220000 |
| As time | 77193 seconds = 21 h 26 min 33 s |
Is 77193 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77193 ÷ 3 = 25731) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77193 ÷ 9 = 8577) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77193 a prime number?
No. 77193 = × 953, so it is divisible by 3.
What are the factors of 77193?
1, 3, 9, 27, 81, 953, 2859, 8577, 25731, 77193.
What is 77193 in binary?
10010110110001001 (hexadecimal 12D89, octal 226611).
What is the square root of 77193?
About 277.8363, exactly 9√953.
Is 77193 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77193?
77193 is a Harshad number: divisible by its digit sum 27.