The number 904
904 is a composite number with 8 divisors. Its prime factorisation is × 113. Divisors (8): 1, 2, 4, 8, 113, 226, 452, 904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 904: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
904 is composite. Its prime factorisation is
- 3
The divisors add up to 1710; without 904 itself that is 806, so 904 is deficient (806 is less than 904). Euler's totient φ(904) = 448 numbers up to 904 share no factor with it.
- 4
The digits of 904 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 15 steps to reach 1.
LaTeX source of the formulas on this page
\[ 904 = 2^{3} \times 113 \]904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1710 |
| Euler totient φ(n) | 448 |
| Square | 817216 |
| Cube | 738763264 |
| Square root | 30.066593 (= 2√226) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 15 |
| Scientific notation | 9.04 × |
904 in other forms
| Form | Value |
|---|---|
| In words | nine hundred and four |
| Roman numerals | CMIV |
| Binary (base 2) | 1110001000 |
| Octal (base 8) | 1610 |
| Hexadecimal (base 16) | 388 |
| Base 3 | 1020111 |
| As time | 904 seconds = 15 min 4 s |
Is 904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (904 ÷ 2 = 452) | 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 | Yes (904 ÷ 4 = 226) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (904 ÷ 8 = 113) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 904 a prime number?
No. 904 = × 113, so it is divisible by 2.
What are the factors of 904?
1, 2, 4, 8, 113, 226, 452, 904.
What is 904 in binary?
1110001000 (hexadecimal 388, octal 1610).
What is the square root of 904?
About 30.0666, exactly 2√226.
What is 904 in Roman numerals?
CMIV.
Is 904 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 904?
904 is a happy number: repeatedly adding the squares of its digits reaches 1.