The number 67412
67412 is a composite number with 12 divisors. Its prime factorisation is × 19 × 887. Divisors (12): 1, 2, 4, 19, 38, 76, 887, 1774, 3548, 16853, 33706, 67412.
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How to work it out
- 1
67412 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67412 is composite. Its prime factorisation is
- 3
The divisors add up to 124320; without 67412 itself that is 56908, so 67412 is deficient (56908 is less than 67412). Euler's totient φ(67412) = 31896 numbers up to 67412 share no factor with it.
- 4
The digits of 67412 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67412 = 2^{2} \times 19 \times 887 \]67412 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124320 |
| Euler totient φ(n) | 31896 |
| Square | 4544377744 |
| Cube | 306345592478528 |
| Square root | 259.638210 (= 2√16853) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7412 × |
67412 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and twelve |
| Binary (base 2) | 10000011101010100 |
| Octal (base 8) | 203524 |
| Hexadecimal (base 16) | 10754 |
| Base 3 | 10102110202 |
| As time | 67412 seconds = 18 h 43 min 32 s |
Is 67412 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67412 ÷ 2 = 33706) | 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 (67412 ÷ 4 = 16853) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 67412 a prime number?
No. 67412 = × 19 × 887, so it is divisible by 2.
What are the factors of 67412?
1, 2, 4, 19, 38, 76, 887, 1774, 3548, 16853, 33706, 67412.
What is 67412 in binary?
10000011101010100 (hexadecimal 10754, octal 203524).
What is the square root of 67412?
About 259.6382, exactly 2√16853.
Is 67412 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67412?
It is a composite number with 12 divisors.