The number 67938
67938 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 67. Divisors (24): 1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 169, 201, 338, 402, 507, 871 … 67938.
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How to work it out
- 1
What is special about 67938: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67938 is composite. Its prime factorisation is
- 3
The divisors add up to 149328; without 67938 itself that is 81390, so 67938 is abundant (81390 is more than 67938). Euler's totient φ(67938) = 20592 numbers up to 67938 share no factor with it.
- 4
The digits of 67938 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67938 = 2 \times 3 \times 13^{2} \times 67 \]67938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 149328 |
| Euler totient φ(n) | 20592 |
| Square | 4615571844 |
| Cube | 313572719937672 |
| Square root | 260.649190 (= 13√402) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7938 × |
67938 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and thirty-eight |
| Binary (base 2) | 10000100101100010 |
| Octal (base 8) | 204542 |
| Hexadecimal (base 16) | 10962 |
| Base 3 | 10110012020 |
| As time | 67938 seconds = 18 h 52 min 18 s |
Is 67938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67938 ÷ 2 = 33969) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67938 ÷ 3 = 22646) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67938 ÷ 6 = 11323) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 67938 a prime number?
No. 67938 = 2 × 3 × × 67, so it is divisible by 2.
What are the factors of 67938?
1, 2, 3, 6, 13, 26, 39, 67, 78, 134, 169, 201, 338, 402, 507, 871, 1014, 1742, 2613, 5226, 11323, 22646, 33969, 67938.
What is 67938 in binary?
10000100101100010 (hexadecimal 10962, octal 204542).
What is the square root of 67938?
About 260.6492, exactly 13√402.
Is 67938 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67938?
67938 is a happy number: repeatedly adding the squares of its digits reaches 1.