The number 42064
42064 is a composite number with 20 divisors. Its prime factorisation is × 11 × 239. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 239, 478, 956, 1912, 2629, 3824 … 42064.
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How to work it out
- 1
What is special about 42064: a Harshad number: divisible by its digit sum 16.
- 2
42064 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 42064 itself that is 47216, so 42064 is abundant (47216 is more than 42064). Euler's totient φ(42064) = 19040 numbers up to 42064 share no factor with it.
- 4
The digits of 42064 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42064 = 2^{4} \times 11 \times 239 \]42064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 19040 |
| Square | 1769380096 |
| Cube | 74427204358144 |
| Square root | 205.095100 (= 4√2629) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2064 × |
42064 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and sixty-four |
| Binary (base 2) | 1010010001010000 |
| Octal (base 8) | 122120 |
| Hexadecimal (base 16) | A450 |
| Base 3 | 2010200221 |
| As time | 42064 seconds = 11 h 41 min 4 s |
Is 42064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42064 ÷ 2 = 21032) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42064 ÷ 4 = 10516) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (42064 ÷ 8 = 5258) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (42064 ÷ 11 = 3824) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42064 a prime number?
No. 42064 = × 11 × 239, so it is divisible by 2.
What are the factors of 42064?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 239, 478, 956, 1912, 2629, 3824, 5258, 10516, 21032, 42064.
What is 42064 in binary?
1010010001010000 (hexadecimal A450, octal 122120).
What is the square root of 42064?
About 205.0951, exactly 4√2629.
Is 42064 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42064?
42064 is a Harshad number: divisible by its digit sum 16.