The number 64002
64002 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 10667. Divisors (8): 1, 2, 3, 6, 10667, 21334, 32001, 64002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64002 is composite. Its prime factorisation is
- 3
The divisors add up to 128016; without 64002 itself that is 64014, so 64002 is abundant (64014 is more than 64002). Euler's totient φ(64002) = 21332 numbers up to 64002 share no factor with it.
- 4
The digits of 64002 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64002 = 2 \times 3 \times 10667 \]
64002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 128016 |
| Euler totient φ(n) | 21332 |
| Square | 4096256004 |
| Cube | 262168576768008 |
| Square root | 252.986166 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.4002 × |
64002 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and two |
| Binary (base 2) | 1111101000000010 |
| Octal (base 8) | 175002 |
| Hexadecimal (base 16) | FA02 |
| Base 3 | 10020210110 |
| As time | 64002 seconds = 17 h 46 min 42 s |
Is 64002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64002 ÷ 2 = 32001) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64002 ÷ 3 = 21334) | 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 | Yes (64002 ÷ 6 = 10667) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64002 a prime number?
No. 64002 = 2 × 3 × 10667, so it is divisible by 2.
What are the factors of 64002?
1, 2, 3, 6, 10667, 21334, 32001, 64002.
What is 64002 in binary?
1111101000000010 (hexadecimal FA02, octal 175002).
What is the square root of 64002?
About 252.9862.
Is 64002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 64002?
It is a composite number with 8 divisors.