The number 67396
67396 is a composite number with 24 divisors. Its prime factorisation is × 7 × 29 × 83. Divisors (24): 1, 2, 4, 7, 14, 28, 29, 58, 83, 116, 166, 203, 332, 406, 581, 812 … 67396.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67396 is composite. Its prime factorisation is
- 3
The divisors add up to 141120; without 67396 itself that is 73724, so 67396 is abundant (73724 is more than 67396). Euler's totient φ(67396) = 27552 numbers up to 67396 share no factor with it.
- 4
The digits of 67396 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67396 = 2^{2} \times 7 \times 29 \times 83 \]67396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141120 |
| Euler totient φ(n) | 27552 |
| Square | 4542220816 |
| Cube | 306127514115136 |
| Square root | 259.607396 (= 2√16849) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.7396 × |
67396 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and ninety-six |
| Binary (base 2) | 10000011101000100 |
| Octal (base 8) | 203504 |
| Hexadecimal (base 16) | 10744 |
| Base 3 | 10102110011 |
| As time | 67396 seconds = 18 h 43 min 16 s |
Is 67396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67396 ÷ 2 = 33698) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67396 ÷ 4 = 16849) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67396 ÷ 7 = 9628) | 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 4) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67396 a prime number?
No. 67396 = × 7 × 29 × 83, so it is divisible by 2.
What are the factors of 67396?
1, 2, 4, 7, 14, 28, 29, 58, 83, 116, 166, 203, 332, 406, 581, 812, 1162, 2324, 2407, 4814, 9628, 16849, 33698, 67396.
What is 67396 in binary?
10000011101000100 (hexadecimal 10744, octal 203504).
What is the square root of 67396?
About 259.6074, exactly 2√16849.
Is 67396 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 67396?
It is a composite number with 24 divisors.