The number 67976
67976 is a palindrome: it reads 67976 backwards too. Its prime factorisation is × 29 × 293. Divisors (16): 1, 2, 4, 8, 29, 58, 116, 232, 293, 586, 1172, 2344, 8497, 16994, 33988, 67976.
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How to work it out
- 1
What is special about 67976: a palindrome: it reads 67976 backwards too.
- 2
67976 is composite. Its prime factorisation is
- 3
The divisors add up to 132300; without 67976 itself that is 64324, so 67976 is deficient (64324 is less than 67976). Euler's totient φ(67976) = 32704 numbers up to 67976 share no factor with it.
- 4
The digits of 67976 add up to 35, 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
\[ 67976 = 2^{3} \times 29 \times 293 \]67976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 132300 |
| Euler totient φ(n) | 32704 |
| Square | 4620736576 |
| Cube | 314099189490176 |
| Square root | 260.722074 (= 2√16994) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7976 × |
67976 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and seventy-six |
| Binary (base 2) | 10000100110001000 |
| Octal (base 8) | 204610 |
| Hexadecimal (base 16) | 10988 |
| Base 3 | 10110020122 |
| As time | 67976 seconds = 18 h 52 min 56 s |
Is 67976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67976 ÷ 2 = 33988) | 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 (67976 ÷ 4 = 16994) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (67976 ÷ 8 = 8497) | 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 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67976 a prime number?
No. 67976 = × 29 × 293, so it is divisible by 2.
What are the factors of 67976?
1, 2, 4, 8, 29, 58, 116, 232, 293, 586, 1172, 2344, 8497, 16994, 33988, 67976.
What is 67976 in binary?
10000100110001000 (hexadecimal 10988, octal 204610).
What is the square root of 67976?
About 260.7221, exactly 2√16994.
Is 67976 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 67976?
67976 is a palindrome: it reads 67976 backwards too.