The number 42264
42264 is a composite number with 24 divisors. Its prime factorisation is × × 587. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 587, 1174, 1761, 2348 … 42264.
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How to work it out
- 1
What is special about 42264: a Harshad number: divisible by its digit sum 18.
- 2
42264 is composite. Its prime factorisation is
- 3
The divisors add up to 114660; without 42264 itself that is 72396, so 42264 is abundant (72396 is more than 42264). Euler's totient φ(42264) = 14064 numbers up to 42264 share no factor with it.
- 4
The digits of 42264 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42264 = 2^{3} \times 3^{2} \times 587 \]42264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114660 |
| Euler totient φ(n) | 14064 |
| Square | 1786245696 |
| Cube | 75493888095744 |
| Square root | 205.582100 (= 6√1174) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2264 × |
42264 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and sixty-four |
| Binary (base 2) | 1010010100011000 |
| Octal (base 8) | 122430 |
| Hexadecimal (base 16) | A518 |
| Base 3 | 2010222100 |
| As time | 42264 seconds = 11 h 44 min 24 s |
Is 42264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42264 ÷ 2 = 21132) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42264 ÷ 3 = 14088) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42264 ÷ 4 = 10566) | 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 (42264 ÷ 6 = 7044) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (42264 ÷ 8 = 5283) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42264 ÷ 9 = 4696) | 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 (42264 ÷ 12 = 3522) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42264 a prime number?
No. 42264 = × × 587, so it is divisible by 2.
What are the factors of 42264?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 587, 1174, 1761, 2348, 3522, 4696, 5283, 7044, 10566, 14088, 21132, 42264.
What is 42264 in binary?
1010010100011000 (hexadecimal A518, octal 122430).
What is the square root of 42264?
About 205.5821, exactly 6√1174.
Is 42264 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42264?
42264 is a Harshad number: divisible by its digit sum 18.