The number 68448
68448 is a composite number with 48 divisors. Its prime factorisation is × 3 × 23 × 31. Divisors (48): 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 32, 46, 48, 62, 69 … 68448.
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How to work it out
- 1
68448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
68448 is composite. Its prime factorisation is
- 3
The divisors add up to 193536; without 68448 itself that is 125088, so 68448 is abundant (125088 is more than 68448). Euler's totient φ(68448) = 21120 numbers up to 68448 share no factor with it.
- 4
The digits of 68448 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 68448 = 2^{5} \times 3 \times 23 \times 31 \]68448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 193536 |
| Euler totient φ(n) | 21120 |
| Square | 4685128704 |
| Cube | 320687689531392 |
| Square root | 261.625687 (= 4√4278) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 81 |
| Scientific notation | 6.8448 × |
68448 in other forms
| Form | Value |
|---|---|
| In words | sixty-eight thousand four hundred and forty-eight |
| Binary (base 2) | 10000101101100000 |
| Octal (base 8) | 205540 |
| Hexadecimal (base 16) | 10B60 |
| Base 3 | 10110220010 |
| As time | 68448 seconds = 19 h 0 min 48 s |
Is 68448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (68448 ÷ 2 = 34224) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (68448 ÷ 3 = 22816) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (68448 ÷ 4 = 17112) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (68448 ÷ 6 = 11408) | 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 (68448 ÷ 8 = 8556) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (68448 ÷ 12 = 5704) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 68448 a prime number?
No. 68448 = × 3 × 23 × 31, so it is divisible by 2.
What are the factors of 68448?
1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 31, 32, 46, 48, 62, 69, 92, 93, 96, 124, 138, 184, 186, 248, 276, 368, 372, 496, 552, 713, 736, 744, 992, 1104, 1426, 1488, 2139, 2208, 2852, 2976, 4278, 5704, 8556, 11408, 17112, 22816, 34224, 68448.
What is 68448 in binary?
10000101101100000 (hexadecimal 10B60, octal 205540).
What is the square root of 68448?
About 261.6257, exactly 4√4278.
Is 68448 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 68448?
It is a composite number with 48 divisors.