The number 67950
67950 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 151. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150 … 67950.
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How to work it out
- 1
67950 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67950 is composite. Its prime factorisation is
- 3
The divisors add up to 183768; without 67950 itself that is 115818, so 67950 is abundant (115818 is more than 67950). Euler's totient φ(67950) = 18000 numbers up to 67950 share no factor with it.
- 4
The digits of 67950 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67950 = 2 \times 3^{2} \times 5^{2} \times 151 \]67950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 183768 |
| Euler totient φ(n) | 18000 |
| Square | 4617202500 |
| Cube | 313738909875000 |
| Square root | 260.672208 (= 15√302) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.795 × |
67950 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and fifty |
| Binary (base 2) | 10000100101101110 |
| Octal (base 8) | 204556 |
| Hexadecimal (base 16) | 1096E |
| Base 3 | 10110012200 |
| As time | 67950 seconds = 18 h 52 min 30 s |
Is 67950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67950 ÷ 2 = 33975) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67950 ÷ 3 = 22650) | 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 | Yes (67950 ÷ 5 = 13590) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67950 ÷ 6 = 11325) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67950 ÷ 9 = 7550) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67950 ÷ 10 = 6795) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67950 a prime number?
No. 67950 = 2 × × × 151, so it is divisible by 2.
What are the factors of 67950?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 151, 225, 302, 450, 453, 755, 906, 1359, 1510, 2265, 2718, 3775, 4530, 6795, 7550, 11325, 13590, 22650, 33975, 67950.
What is 67950 in binary?
10000100101101110 (hexadecimal 1096E, octal 204556).
What is the square root of 67950?
About 260.6722, exactly 15√302.
Is 67950 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67950?
It is a composite number with 36 divisors.