The number 64024
64024 is a composite number with 16 divisors. Its prime factorisation is × 53 × 151. Divisors (16): 1, 2, 4, 8, 53, 106, 151, 212, 302, 424, 604, 1208, 8003, 16006, 32012, 64024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64024 is composite. Its prime factorisation is
- 3
The divisors add up to 123120; without 64024 itself that is 59096, so 64024 is deficient (59096 is less than 64024). Euler's totient φ(64024) = 31200 numbers up to 64024 share no factor with it.
- 4
The digits of 64024 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64024 = 2^{3} \times 53 \times 151 \]64024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123120 |
| Euler totient φ(n) | 31200 |
| Square | 4099072576 |
| Cube | 262439022605824 |
| Square root | 253.029643 (= 2√16006) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 47 |
| Scientific notation | 6.4024 × |
64024 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and twenty-four |
| Binary (base 2) | 1111101000011000 |
| Octal (base 8) | 175030 |
| Hexadecimal (base 16) | FA18 |
| Base 3 | 10020211021 |
| As time | 64024 seconds = 17 h 47 min 4 s |
Is 64024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64024 ÷ 2 = 32012) | 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 (64024 ÷ 4 = 16006) | 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 2) | 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 (64024 ÷ 8 = 8003) | 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 | No (remainder 4) | 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 64024 a prime number?
No. 64024 = × 53 × 151, so it is divisible by 2.
What are the factors of 64024?
1, 2, 4, 8, 53, 106, 151, 212, 302, 424, 604, 1208, 8003, 16006, 32012, 64024.
What is 64024 in binary?
1111101000011000 (hexadecimal FA18, octal 175030).
What is the square root of 64024?
About 253.0296, exactly 2√16006.
Is 64024 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 64024?
It is a composite number with 16 divisors.