The number 67996
67996 is a composite number with 12 divisors. Its prime factorisation is × 89 × 191. Divisors (12): 1, 2, 4, 89, 178, 191, 356, 382, 764, 16999, 33998, 67996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67996 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 67996 itself that is 52964, so 67996 is deficient (52964 is less than 67996). Euler's totient φ(67996) = 33440 numbers up to 67996 share no factor with it.
- 4
The digits of 67996 add up to 37, 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
\[ 67996 = 2^{2} \times 89 \times 191 \]67996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 33440 |
| Square | 4623456016 |
| Cube | 314376515263936 |
| Square root | 260.760426 (= 2√16999) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7996 × |
67996 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and ninety-six |
| Binary (base 2) | 10000100110011100 |
| Octal (base 8) | 204634 |
| Hexadecimal (base 16) | 1099C |
| Base 3 | 10110021101 |
| As time | 67996 seconds = 18 h 53 min 16 s |
Is 67996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67996 ÷ 2 = 33998) | 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 (67996 ÷ 4 = 16999) | 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 5) | 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 1) | 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 5) | 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 67996 a prime number?
No. 67996 = × 89 × 191, so it is divisible by 2.
What are the factors of 67996?
1, 2, 4, 89, 178, 191, 356, 382, 764, 16999, 33998, 67996.
What is 67996 in binary?
10000100110011100 (hexadecimal 1099C, octal 204634).
What is the square root of 67996?
About 260.7604, exactly 2√16999.
Is 67996 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 67996?
It is a composite number with 12 divisors.