The number 77993
77993 is a composite number with 4 divisors. Its prime factorisation is 23 × 3391. Divisors (4): 1, 23, 3391, 77993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 77993: a semiprime: 23 × 3391, the product of two primes.
- 2
77993 is composite. Its prime factorisation is
- 3
The divisors add up to 81408; without 77993 itself that is 3415, so 77993 is deficient (3415 is less than 77993). Euler's totient φ(77993) = 74580 numbers up to 77993 share no factor with it.
- 4
The digits of 77993 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77993 = 23 \times 3391 \]
77993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 81408 |
| Euler totient φ(n) | 74580 |
| Square | 6082908049 |
| Cube | 474424247465657 |
| Square root | 279.272269 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.7993 × |
77993 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and ninety-three |
| Binary (base 2) | 10011000010101001 |
| Octal (base 8) | 230251 |
| Hexadecimal (base 16) | 130A9 |
| Base 3 | 10221222122 |
| As time | 77993 seconds = 21 h 39 min 53 s |
Is 77993 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77993 a prime number?
No. 77993 = 23 × 3391, so it is divisible by 23.
What are the factors of 77993?
1, 23, 3391, 77993.
What is 77993 in binary?
10011000010101001 (hexadecimal 130A9, octal 230251).
What is the square root of 77993?
About 279.2723.
Is 77993 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 77993?
77993 is a semiprime: 23 × 3391, the product of two primes.