The number 67436
67436 is a composite number with 12 divisors. Its prime factorisation is × 23 × 733. Divisors (12): 1, 2, 4, 23, 46, 92, 733, 1466, 2932, 16859, 33718, 67436.
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How to work it out
- 1
67436 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67436 is composite. Its prime factorisation is
- 3
The divisors add up to 123312; without 67436 itself that is 55876, so 67436 is deficient (55876 is less than 67436). Euler's totient φ(67436) = 32208 numbers up to 67436 share no factor with it.
- 4
The digits of 67436 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67436 = 2^{2} \times 23 \times 733 \]67436 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123312 |
| Euler totient φ(n) | 32208 |
| Square | 4547614096 |
| Cube | 306672904177856 |
| Square root | 259.684424 (= 2√16859) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7436 × |
67436 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and thirty-six |
| Binary (base 2) | 10000011101101100 |
| Octal (base 8) | 203554 |
| Hexadecimal (base 16) | 1076C |
| Base 3 | 10102111122 |
| As time | 67436 seconds = 18 h 43 min 56 s |
Is 67436 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67436 ÷ 2 = 33718) | 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 (67436 ÷ 4 = 16859) | 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 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 67436 a prime number?
No. 67436 = × 23 × 733, so it is divisible by 2.
What are the factors of 67436?
1, 2, 4, 23, 46, 92, 733, 1466, 2932, 16859, 33718, 67436.
What is 67436 in binary?
10000011101101100 (hexadecimal 1076C, octal 203554).
What is the square root of 67436?
About 259.6844, exactly 2√16859.
Is 67436 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 67436?
It is a composite number with 12 divisors.