The number 788
788 is a composite number with 6 divisors. Its prime factorisation is × 197. Divisors (6): 1, 2, 4, 197, 394, 788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
788 is composite. Its prime factorisation is
- 3
The divisors add up to 1386; without 788 itself that is 598, so 788 is deficient (598 is less than 788). Euler's totient φ(788) = 392 numbers up to 788 share no factor with it.
- 4
The digits of 788 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 788 = 2^{2} \times 197 \]788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 1386 |
| Euler totient φ(n) | 392 |
| Square | 620944 |
| Cube | 489303872 |
| Square root | 28.071338 (= 2√197) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 28 |
| Scientific notation | 7.88 × |
788 in other forms
| Form | Value |
|---|---|
| In words | seven hundred and eighty-eight |
| Roman numerals | DCCLXXXVIII |
| Binary (base 2) | 1100010100 |
| Octal (base 8) | 1424 |
| Hexadecimal (base 16) | 314 |
| Base 3 | 1002012 |
| As time | 788 seconds = 13 min 8 s |
Is 788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (788 ÷ 2 = 394) | 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 | Yes (788 ÷ 4 = 197) | 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 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 4) | 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 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 788 a prime number?
No. 788 = × 197, so it is divisible by 2.
What are the factors of 788?
1, 2, 4, 197, 394, 788.
What is 788 in binary?
1100010100 (hexadecimal 314, octal 1424).
What is the square root of 788?
About 28.0713, exactly 2√197.
What is 788 in Roman numerals?
DCCLXXXVIII.
Is 788 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 788?
It is a composite number with 6 divisors.