The number 793
793 is a composite number with 4 divisors. Its prime factorisation is 13 × 61. Divisors (4): 1, 13, 61, 793.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 793: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 61, the product of two primes.
- 2
793 is composite. Its prime factorisation is
- 3
The divisors add up to 868; without 793 itself that is 75, so 793 is deficient (75 is less than 793). Euler's totient φ(793) = 720 numbers up to 793 share no factor with it.
- 4
The digits of 793 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 793 = 13 \times 61 \]
793 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 868 |
| Euler totient φ(n) | 720 |
| Square | 628849 |
| Cube | 498677257 |
| Square root | 28.160256 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 77 |
| Scientific notation | 7.93 × |
793 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and ninety-three |
| Roman numerals | DCCXCIII |
| Binary (base 2) | 1100011001 |
| Octal (base 8) | 1431 |
| Hexadecimal (base 16) | 319 |
| Base 3 | 1002101 |
| As time | 793 seconds = 13 min 13 s |
Is 793 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 1) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 793 a prime number?
No. 793 = 13 × 61, so it is divisible by 13.
What are the factors of 793?
1, 13, 61, 793.
What is 793 in binary?
1100011001 (hexadecimal 319, octal 1431).
What is the square root of 793?
About 28.1603.
What is 793 in Roman numerals?
DCCXCIII.
Is 793 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 793?
793 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 61, the product of two primes.