The number 67904
67904 is a composite number with 14 divisors. Its prime factorisation is × 1061. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1061, 2122, 4244, 8488, 16976, 33952, 67904.
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How to work it out
- 1
67904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67904 is composite. Its prime factorisation is
- 3
The divisors add up to 134874; without 67904 itself that is 66970, so 67904 is deficient (66970 is less than 67904). Euler's totient φ(67904) = 33920 numbers up to 67904 share no factor with it.
- 4
The digits of 67904 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67904 = 2^{6} \times 1061 \]67904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 134874 |
| Euler totient φ(n) | 33920 |
| Square | 4610953216 |
| Cube | 313102167179264 |
| Square root | 260.583960 (= 8√1061) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7904 × |
67904 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and four |
| Binary (base 2) | 10000100101000000 |
| Octal (base 8) | 204500 |
| Hexadecimal (base 16) | 10940 |
| Base 3 | 10110010222 |
| As time | 67904 seconds = 18 h 51 min 44 s |
Is 67904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67904 ÷ 2 = 33952) | 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 (67904 ÷ 4 = 16976) | 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 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 | Yes (67904 ÷ 8 = 8488) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 67904 a prime number?
No. 67904 = × 1061, so it is divisible by 2.
What are the factors of 67904?
1, 2, 4, 8, 16, 32, 64, 1061, 2122, 4244, 8488, 16976, 33952, 67904.
What is 67904 in binary?
10000100101000000 (hexadecimal 10940, octal 204500).
What is the square root of 67904?
About 260.5840, exactly 8√1061.
Is 67904 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67904?
It is a composite number with 14 divisors.