The number 6904
6904 is a composite number with 8 divisors. Its prime factorisation is × 863. Divisors (8): 1, 2, 4, 8, 863, 1726, 3452, 6904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6904: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6904 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 6904 itself that is 6056, so 6904 is deficient (6056 is less than 6904). Euler's totient φ(6904) = 3448 numbers up to 6904 share no factor with it.
- 4
The digits of 6904 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6904 = 2^{3} \times 863 \]6904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 3448 |
| Square | 47665216 |
| Cube | 329080651264 |
| Square root | 83.090312 (= 2√1726) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.904 × |
6904 in other forms
| Form | Value |
|---|---|
| In words | six thousand nine hundred and four |
| Binary (base 2) | 1101011111000 |
| Octal (base 8) | 15370 |
| Hexadecimal (base 16) | 1AF8 |
| Base 3 | 100110201 |
| As time | 6904 seconds = 1 h 55 min 4 s |
Is 6904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6904 ÷ 2 = 3452) | 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 (6904 ÷ 4 = 1726) | 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 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 | Yes (6904 ÷ 8 = 863) | 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 4) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6904 a prime number?
No. 6904 = × 863, so it is divisible by 2.
What are the factors of 6904?
1, 2, 4, 8, 863, 1726, 3452, 6904.
What is 6904 in binary?
1101011111000 (hexadecimal 1AF8, octal 15370).
What is the square root of 6904?
About 83.0903, exactly 2√1726.
Is 6904 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6904?
6904 is a happy number: repeatedly adding the squares of its digits reaches 1.