The number 67248
67248 is a composite number with 30 divisors. Its prime factorisation is × × 467. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 467 … 67248.
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How to work it out
- 1
67248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67248 is composite. Its prime factorisation is
- 3
The divisors add up to 188604; without 67248 itself that is 121356, so 67248 is abundant (121356 is more than 67248). Euler's totient φ(67248) = 22368 numbers up to 67248 share no factor with it.
- 4
The digits of 67248 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67248 = 2^{4} \times 3^{2} \times 467 \]67248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 188604 |
| Euler totient φ(n) | 22368 |
| Square | 4522293504 |
| Cube | 304115193556992 |
| Square root | 259.322193 (= 12√467) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7248 × |
67248 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and forty-eight |
| Binary (base 2) | 10000011010110000 |
| Octal (base 8) | 203260 |
| Hexadecimal (base 16) | 106B0 |
| Base 3 | 10102020200 |
| As time | 67248 seconds = 18 h 40 min 48 s |
Is 67248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67248 ÷ 2 = 33624) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67248 ÷ 3 = 22416) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67248 ÷ 4 = 16812) | 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 (67248 ÷ 6 = 11208) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (67248 ÷ 8 = 8406) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67248 ÷ 9 = 7472) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67248 ÷ 12 = 5604) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67248 a prime number?
No. 67248 = × × 467, so it is divisible by 2.
What are the factors of 67248?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 467, 934, 1401, 1868, 2802, 3736, 4203, 5604, 7472, 8406, 11208, 16812, 22416, 33624, 67248.
What is 67248 in binary?
10000011010110000 (hexadecimal 106B0, octal 203260).
What is the square root of 67248?
About 259.3222, exactly 12√467.
Is 67248 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67248?
It is a composite number with 30 divisors.