The number 42224
42224 is a palindrome: it reads 42224 backwards too. Its prime factorisation is × 7 × 13 × 29. Divisors (40): 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 29, 52, 56, 58, 91, 104 … 42224.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42224: a palindrome: it reads 42224 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
42224 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 42224 itself that is 61936, so 42224 is abundant (61936 is more than 42224). Euler's totient φ(42224) = 16128 numbers up to 42224 share no factor with it.
- 4
The digits of 42224 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42224 = 2^{4} \times 7 \times 13 \times 29 \]42224 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 16128 |
| Square | 1782866176 |
| Cube | 75279741415424 |
| Square root | 205.484793 (= 4√2639) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2224 × |
42224 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twenty-four |
| Binary (base 2) | 1010010011110000 |
| Octal (base 8) | 122360 |
| Hexadecimal (base 16) | A4F0 |
| Base 3 | 2010220212 |
| As time | 42224 seconds = 11 h 43 min 44 s |
Is 42224 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42224 ÷ 2 = 21112) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42224 ÷ 4 = 10556) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42224 ÷ 7 = 6032) | 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 (42224 ÷ 8 = 5278) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42224 a prime number?
No. 42224 = × 7 × 13 × 29, so it is divisible by 2.
What are the factors of 42224?
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 29, 52, 56, 58, 91, 104, 112, 116, 182, 203, 208, 232, 364, 377, 406, 464, 728, 754, 812, 1456, 1508, 1624, 2639, 3016, 3248, 5278, 6032, 10556, 21112, 42224.
What is 42224 in binary?
1010010011110000 (hexadecimal A4F0, octal 122360).
What is the square root of 42224?
About 205.4848, exactly 4√2639.
Is 42224 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42224?
42224 is a palindrome: it reads 42224 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.