The number 67940
67940 is a composite number with 24 divisors. Its prime factorisation is × 5 × 43 × 79. Divisors (24): 1, 2, 4, 5, 10, 20, 43, 79, 86, 158, 172, 215, 316, 395, 430, 790 … 67940.
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How to work it out
- 1
67940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67940 is composite. Its prime factorisation is
- 3
The divisors add up to 147840; without 67940 itself that is 79900, so 67940 is abundant (79900 is more than 67940). Euler's totient φ(67940) = 26208 numbers up to 67940 share no factor with it.
- 4
The digits of 67940 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67940 = 2^{2} \times 5 \times 43 \times 79 \]67940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 147840 |
| Euler totient φ(n) | 26208 |
| Square | 4615843600 |
| Cube | 313600414184000 |
| Square root | 260.653026 (= 2√16985) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.794 × |
67940 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and forty |
| Binary (base 2) | 10000100101100100 |
| Octal (base 8) | 204544 |
| Hexadecimal (base 16) | 10964 |
| Base 3 | 10110012022 |
| As time | 67940 seconds = 18 h 52 min 20 s |
Is 67940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67940 ÷ 2 = 33970) | 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 (67940 ÷ 4 = 16985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67940 ÷ 5 = 13588) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67940 ÷ 10 = 6794) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 67940 a prime number?
No. 67940 = × 5 × 43 × 79, so it is divisible by 2.
What are the factors of 67940?
1, 2, 4, 5, 10, 20, 43, 79, 86, 158, 172, 215, 316, 395, 430, 790, 860, 1580, 3397, 6794, 13588, 16985, 33970, 67940.
What is 67940 in binary?
10000100101100100 (hexadecimal 10964, octal 204544).
What is the square root of 67940?
About 260.6530, exactly 2√16985.
Is 67940 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67940?
It is a composite number with 24 divisors.