The number 67834
67834 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2609. Divisors (8): 1, 2, 13, 26, 2609, 5218, 33917, 67834.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67834 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67834 is composite. Its prime factorisation is
- 3
The divisors add up to 109620; without 67834 itself that is 41786, so 67834 is deficient (41786 is less than 67834). Euler's totient φ(67834) = 31296 numbers up to 67834 share no factor with it.
- 4
The digits of 67834 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67834 = 2 \times 13 \times 2609 \]
67834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109620 |
| Euler totient φ(n) | 31296 |
| Square | 4601451556 |
| Cube | 312134864849704 |
| Square root | 260.449611 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7834 × |
67834 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and thirty-four |
| Binary (base 2) | 10000100011111010 |
| Octal (base 8) | 204372 |
| Hexadecimal (base 16) | 108FA |
| Base 3 | 10110001101 |
| As time | 67834 seconds = 18 h 50 min 34 s |
Is 67834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67834 ÷ 2 = 33917) | 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 | No (remainder 2) | 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 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67834 a prime number?
No. 67834 = 2 × 13 × 2609, so it is divisible by 2.
What are the factors of 67834?
1, 2, 13, 26, 2609, 5218, 33917, 67834.
What is 67834 in binary?
10000100011111010 (hexadecimal 108FA, octal 204372).
What is the square root of 67834?
About 260.4496.
Is 67834 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 67834?
It is a composite number with 8 divisors.