The number 64008
64008 is a composite number with 48 divisors. Its prime factorisation is × × 7 × 127. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42 … 64008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64008: a Harshad number: divisible by its digit sum 18.
- 2
64008 is composite. Its prime factorisation is
- 3
The divisors add up to 199680; without 64008 itself that is 135672, so 64008 is abundant (135672 is more than 64008). Euler's totient φ(64008) = 18144 numbers up to 64008 share no factor with it.
- 4
The digits of 64008 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64008 = 2^{3} \times 3^{2} \times 7 \times 127 \]64008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 199680 |
| Euler totient φ(n) | 18144 |
| Square | 4097024064 |
| Cube | 262242316288512 |
| Square root | 252.998024 (= 6√1778) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.4008 × |
64008 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and eight |
| Binary (base 2) | 1111101000001000 |
| Octal (base 8) | 175010 |
| Hexadecimal (base 16) | FA08 |
| Base 3 | 10020210200 |
| As time | 64008 seconds = 17 h 46 min 48 s |
Is 64008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64008 ÷ 2 = 32004) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64008 ÷ 3 = 21336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64008 ÷ 4 = 16002) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (64008 ÷ 6 = 10668) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (64008 ÷ 7 = 9144) | 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 (64008 ÷ 8 = 8001) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (64008 ÷ 9 = 7112) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (64008 ÷ 12 = 5334) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64008 a prime number?
No. 64008 = × × 7 × 127, so it is divisible by 2.
What are the factors of 64008?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 127, 168, 252, 254, 381, 504, 508, 762, 889, 1016, 1143, 1524, 1778, 2286, 2667, 3048, 3556, 4572, 5334, 7112, 8001, 9144, 10668, 16002, 21336, 32004, 64008.
What is 64008 in binary?
1111101000001000 (hexadecimal FA08, octal 175010).
What is the square root of 64008?
About 252.9980, exactly 6√1778.
Is 64008 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 64008?
64008 is a Harshad number: divisible by its digit sum 18.