The number 67876
67876 is a palindrome: it reads 67876 backwards too. Its prime factorisation is × 71 × 239. Divisors (12): 1, 2, 4, 71, 142, 239, 284, 478, 956, 16969, 33938, 67876.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67876: a palindrome: it reads 67876 backwards too.
- 2
67876 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 67876 itself that is 53084, so 67876 is deficient (53084 is less than 67876). Euler's totient φ(67876) = 33320 numbers up to 67876 share no factor with it.
- 4
The digits of 67876 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67876 = 2^{2} \times 71 \times 239 \]67876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 33320 |
| Square | 4607151376 |
| Cube | 312715006797376 |
| Square root | 260.530229 (= 2√16969) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7876 × |
67876 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand eight hundred and seventy-six |
| Binary (base 2) | 10000100100100100 |
| Octal (base 8) | 204444 |
| Hexadecimal (base 16) | 10924 |
| Base 3 | 10110002221 |
| As time | 67876 seconds = 18 h 51 min 16 s |
Is 67876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67876 ÷ 2 = 33938) | 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 (67876 ÷ 4 = 16969) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 67876 a prime number?
No. 67876 = × 71 × 239, so it is divisible by 2.
What are the factors of 67876?
1, 2, 4, 71, 142, 239, 284, 478, 956, 16969, 33938, 67876.
What is 67876 in binary?
10000100100100100 (hexadecimal 10924, octal 204444).
What is the square root of 67876?
About 260.5302, exactly 2√16969.
Is 67876 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 67876?
67876 is a palindrome: it reads 67876 backwards too.