The number 67488
67488 is a composite number with 48 divisors. Its prime factorisation is × 3 × 19 × 37. Divisors (48): 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 37, 38, 48, 57, 74 … 67488.
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How to work it out
- 1
67488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67488 is composite. Its prime factorisation is
- 3
The divisors add up to 191520; without 67488 itself that is 124032, so 67488 is abundant (124032 is more than 67488). Euler's totient φ(67488) = 20736 numbers up to 67488 share no factor with it.
- 4
The digits of 67488 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67488 = 2^{5} \times 3 \times 19 \times 37 \]67488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 191520 |
| Euler totient φ(n) | 20736 |
| Square | 4554630144 |
| Cube | 307382879158272 |
| Square root | 259.784526 (= 4√4218) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7488 × |
67488 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and eighty-eight |
| Binary (base 2) | 10000011110100000 |
| Octal (base 8) | 203640 |
| Hexadecimal (base 16) | 107A0 |
| Base 3 | 10102120120 |
| As time | 67488 seconds = 18 h 44 min 48 s |
Is 67488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67488 ÷ 2 = 33744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67488 ÷ 3 = 22496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67488 ÷ 4 = 16872) | 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 (67488 ÷ 6 = 11248) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (67488 ÷ 8 = 8436) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67488 ÷ 12 = 5624) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67488 a prime number?
No. 67488 = × 3 × 19 × 37, so it is divisible by 2.
What are the factors of 67488?
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 32, 37, 38, 48, 57, 74, 76, 96, 111, 114, 148, 152, 222, 228, 296, 304, 444, 456, 592, 608, 703, 888, 912, 1184, 1406, 1776, 1824, 2109, 2812, 3552, 4218, 5624, 8436, 11248, 16872, 22496, 33744, 67488.
What is 67488 in binary?
10000011110100000 (hexadecimal 107A0, octal 203640).
What is the square root of 67488?
About 259.7845, exactly 4√4218.
Is 67488 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 67488?
It is a composite number with 48 divisors.