The number 798
798 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 19. Divisors (16): 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
798 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
798 is composite. Its prime factorisation is
- 3
The divisors add up to 1920; without 798 itself that is 1122, so 798 is abundant (1122 is more than 798). Euler's totient φ(798) = 216 numbers up to 798 share no factor with it.
- 4
The digits of 798 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 798 = 2 \times 3 \times 7 \times 19 \]
798 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 1920 |
| Euler totient φ(n) | 216 |
| Square | 636804 |
| Cube | 508169592 |
| Square root | 28.248894 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 121 |
| Scientific notation | 7.98 × |
798 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and ninety-eight |
| Roman numerals | DCCXCVIII |
| Binary (base 2) | 1100011110 |
| Octal (base 8) | 1436 |
| Hexadecimal (base 16) | 31E |
| Base 3 | 1002120 |
| As time | 798 seconds = 13 min 18 s |
Is 798 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (798 ÷ 2 = 399) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (798 ÷ 3 = 266) | 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 | Yes (798 ÷ 6 = 133) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (798 ÷ 7 = 114) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 798 a prime number?
No. 798 = 2 × 3 × 7 × 19, so it is divisible by 2.
What are the factors of 798?
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798.
What is 798 in binary?
1100011110 (hexadecimal 31E, octal 1436).
What is the square root of 798?
About 28.2489.
What is 798 in Roman numerals?
DCCXCVIII.
Is 798 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 798?
It is a composite number with 16 divisors.