The number 64001
64001 is a composite number with 8 divisors. Its prime factorisation is 7 × 41 × 223. Divisors (8): 1, 7, 41, 223, 287, 1561, 9143, 64001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64001 is composite. Its prime factorisation is
- 3
The divisors add up to 75264; without 64001 itself that is 11263, so 64001 is deficient (11263 is less than 64001). Euler's totient φ(64001) = 53280 numbers up to 64001 share no factor with it.
- 4
The digits of 64001 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 223 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64001 = 7 \times 41 \times 223 \]
64001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75264 |
| Euler totient φ(n) | 53280 |
| Square | 4096128001 |
| Cube | 262156288192001 |
| Square root | 252.984189 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 223 |
| Scientific notation | 6.4001 × |
64001 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and one |
| Binary (base 2) | 1111101000000001 |
| Octal (base 8) | 175001 |
| Hexadecimal (base 16) | FA01 |
| Base 3 | 10020210102 |
| As time | 64001 seconds = 17 h 46 min 41 s |
Is 64001 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (64001 ÷ 7 = 9143) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64001 a prime number?
No. 64001 = 7 × 41 × 223, so it is divisible by 7.
What are the factors of 64001?
1, 7, 41, 223, 287, 1561, 9143, 64001.
What is 64001 in binary?
1111101000000001 (hexadecimal FA01, octal 175001).
What is the square root of 64001?
About 252.9842.
Is 64001 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 64001?
It is a composite number with 8 divisors.