The number 67496
67496 is a composite number with 32 divisors. Its prime factorisation is × 11 × 13 × 59. Divisors (32): 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 59, 88, 104, 118, 143, 236 … 67496.
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How to work it out
- 1
67496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67496 is composite. Its prime factorisation is
- 3
The divisors add up to 151200; without 67496 itself that is 83704, so 67496 is abundant (83704 is more than 67496). Euler's totient φ(67496) = 27840 numbers up to 67496 share no factor with it.
- 4
The digits of 67496 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67496 = 2^{3} \times 11 \times 13 \times 59 \]67496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 151200 |
| Euler totient φ(n) | 27840 |
| Square | 4555710016 |
| Cube | 307492203239936 |
| Square root | 259.799923 (= 2√16874) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7496 × |
67496 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and ninety-six |
| Binary (base 2) | 10000011110101000 |
| Octal (base 8) | 203650 |
| Hexadecimal (base 16) | 107A8 |
| Base 3 | 10102120212 |
| As time | 67496 seconds = 18 h 44 min 56 s |
Is 67496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67496 ÷ 2 = 33748) | 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 (67496 ÷ 4 = 16874) | 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 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 | Yes (67496 ÷ 8 = 8437) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (67496 ÷ 11 = 6136) | 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 67496 a prime number?
No. 67496 = × 11 × 13 × 59, so it is divisible by 2.
What are the factors of 67496?
1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 59, 88, 104, 118, 143, 236, 286, 472, 572, 649, 767, 1144, 1298, 1534, 2596, 3068, 5192, 6136, 8437, 16874, 33748, 67496.
What is 67496 in binary?
10000011110101000 (hexadecimal 107A8, octal 203650).
What is the square root of 67496?
About 259.7999, exactly 2√16874.
Is 67496 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 67496?
It is a composite number with 32 divisors.