The number 64042
64042 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 41 × 71. Divisors (16): 1, 2, 11, 22, 41, 71, 82, 142, 451, 781, 902, 1562, 2911, 5822, 32021, 64042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64042 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 64042 itself that is 44822, so 64042 is deficient (44822 is less than 64042). Euler's totient φ(64042) = 28000 numbers up to 64042 share no factor with it.
- 4
The digits of 64042 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64042 = 2 \times 11 \times 41 \times 71 \]
64042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 28000 |
| Square | 4101377764 |
| Cube | 262660434762088 |
| Square root | 253.065209 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.4042 × |
64042 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and forty-two |
| Binary (base 2) | 1111101000101010 |
| Octal (base 8) | 175052 |
| Hexadecimal (base 16) | FA2A |
| Base 3 | 10020211221 |
| As time | 64042 seconds = 17 h 47 min 22 s |
Is 64042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64042 ÷ 2 = 32021) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (64042 ÷ 11 = 5822) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64042 a prime number?
No. 64042 = 2 × 11 × 41 × 71, so it is divisible by 2.
What are the factors of 64042?
1, 2, 11, 22, 41, 71, 82, 142, 451, 781, 902, 1562, 2911, 5822, 32021, 64042.
What is 64042 in binary?
1111101000101010 (hexadecimal FA2A, octal 175052).
What is the square root of 64042?
About 253.0652.
Is 64042 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 64042?
It is a composite number with 16 divisors.