The number 42648
42648 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1777. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1777, 3554, 5331, 7108, 10662, 14216, 21324, 42648.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42648: a Harshad number: divisible by its digit sum 24.
- 2
42648 is composite. Its prime factorisation is
- 3
The divisors add up to 106680; without 42648 itself that is 64032, so 42648 is abundant (64032 is more than 42648). Euler's totient φ(42648) = 14208 numbers up to 42648 share no factor with it.
- 4
The digits of 42648 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42648 = 2^{3} \times 3 \times 1777 \]42648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 106680 |
| Euler totient φ(n) | 14208 |
| Square | 1818851904 |
| Cube | 77570396001792 |
| Square root | 206.513922 (= 2√10662) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2648 × |
42648 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and forty-eight |
| Binary (base 2) | 1010011010011000 |
| Octal (base 8) | 123230 |
| Hexadecimal (base 16) | A698 |
| Base 3 | 2011111120 |
| As time | 42648 seconds = 11 h 50 min 48 s |
Is 42648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42648 ÷ 2 = 21324) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42648 ÷ 3 = 14216) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42648 ÷ 4 = 10662) | 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 (42648 ÷ 6 = 7108) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (42648 ÷ 8 = 5331) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42648 ÷ 12 = 3554) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42648 a prime number?
No. 42648 = × 3 × 1777, so it is divisible by 2.
What are the factors of 42648?
1, 2, 3, 4, 6, 8, 12, 24, 1777, 3554, 5331, 7108, 10662, 14216, 21324, 42648.
What is 42648 in binary?
1010011010011000 (hexadecimal A698, octal 123230).
What is the square root of 42648?
About 206.5139, exactly 2√10662.
Is 42648 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42648?
42648 is a Harshad number: divisible by its digit sum 24.