The number 42912
42912 is a composite number with 36 divisors. Its prime factorisation is × × 149. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 42912.
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How to work it out
- 1
What is special about 42912: a Harshad number: divisible by its digit sum 18.
- 2
42912 is composite. Its prime factorisation is
- 3
The divisors add up to 122850; without 42912 itself that is 79938, so 42912 is abundant (79938 is more than 42912). Euler's totient φ(42912) = 14208 numbers up to 42912 share no factor with it.
- 4
The digits of 42912 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42912 = 2^{5} \times 3^{2} \times 149 \]42912 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 122850 |
| Euler totient φ(n) | 14208 |
| Square | 1841439744 |
| Cube | 79019862294528 |
| Square root | 207.152118 (= 12√298) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2912 × |
42912 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and twelve |
| Binary (base 2) | 1010011110100000 |
| Octal (base 8) | 123640 |
| Hexadecimal (base 16) | A7A0 |
| Base 3 | 2011212100 |
| As time | 42912 seconds = 11 h 55 min 12 s |
Is 42912 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42912 ÷ 2 = 21456) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42912 ÷ 3 = 14304) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42912 ÷ 4 = 10728) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42912 ÷ 6 = 7152) | 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 (42912 ÷ 8 = 5364) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42912 ÷ 9 = 4768) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 (42912 ÷ 12 = 3576) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42912 a prime number?
No. 42912 = × × 149, so it is divisible by 2.
What are the factors of 42912?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 149, 288, 298, 447, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 4768, 5364, 7152, 10728, 14304, 21456, 42912.
What is 42912 in binary?
1010011110100000 (hexadecimal A7A0, octal 123640).
What is the square root of 42912?
About 207.1521, exactly 12√298.
Is 42912 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42912?
42912 is a Harshad number: divisible by its digit sum 18.