The number 42924
42924 is a palindrome: it reads 42924 backwards too. Its prime factorisation is × 3 × × 73. Divisors (36): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 73, 84, 98, 146 … 42924.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42924: a palindrome: it reads 42924 backwards too; a Harshad number: divisible by its digit sum 21.
- 2
42924 is composite. Its prime factorisation is
- 3
The divisors add up to 118104; without 42924 itself that is 75180, so 42924 is abundant (75180 is more than 42924). Euler's totient φ(42924) = 12096 numbers up to 42924 share no factor with it.
- 4
The digits of 42924 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42924 = 2^{2} \times 3 \times 7^{2} \times 73 \]42924 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 118104 |
| Euler totient φ(n) | 12096 |
| Square | 1842469776 |
| Cube | 79086172665024 |
| Square root | 207.181080 (= 14√219) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2924 × |
42924 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and twenty-four |
| Binary (base 2) | 1010011110101100 |
| Octal (base 8) | 123654 |
| Hexadecimal (base 16) | A7AC |
| Base 3 | 2011212210 |
| As time | 42924 seconds = 11 h 55 min 24 s |
Is 42924 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42924 ÷ 2 = 21462) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42924 ÷ 3 = 14308) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42924 ÷ 4 = 10731) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42924 ÷ 6 = 7154) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42924 ÷ 7 = 6132) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42924 ÷ 12 = 3577) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42924 a prime number?
No. 42924 = × 3 × × 73, so it is divisible by 2.
What are the factors of 42924?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 73, 84, 98, 146, 147, 196, 219, 292, 294, 438, 511, 588, 876, 1022, 1533, 2044, 3066, 3577, 6132, 7154, 10731, 14308, 21462, 42924.
What is 42924 in binary?
1010011110101100 (hexadecimal A7AC, octal 123654).
What is the square root of 42924?
About 207.1811, exactly 14√219.
Is 42924 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42924?
42924 is a palindrome: it reads 42924 backwards too; a Harshad number: divisible by its digit sum 21.