The number 64016
64016 is a composite number with 10 divisors. Its prime factorisation is × 4001. Divisors (10): 1, 2, 4, 8, 16, 4001, 8002, 16004, 32008, 64016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64016 is composite. Its prime factorisation is
- 3
The divisors add up to 124062; without 64016 itself that is 60046, so 64016 is deficient (60046 is less than 64016). Euler's totient φ(64016) = 32000 numbers up to 64016 share no factor with it.
- 4
The digits of 64016 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64016 = 2^{4} \times 4001 \]64016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 124062 |
| Euler totient φ(n) | 32000 |
| Square | 4098048256 |
| Cube | 262340657156096 |
| Square root | 253.013834 (= 4√4001) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 6.4016 × |
64016 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and sixteen |
| Binary (base 2) | 1111101000010000 |
| Octal (base 8) | 175020 |
| Hexadecimal (base 16) | FA10 |
| Base 3 | 10020210222 |
| As time | 64016 seconds = 17 h 46 min 56 s |
Is 64016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64016 ÷ 2 = 32008) | 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 | Yes (64016 ÷ 4 = 16004) | 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 2) | 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 | Yes (64016 ÷ 8 = 8002) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64016 a prime number?
No. 64016 = × 4001, so it is divisible by 2.
What are the factors of 64016?
1, 2, 4, 8, 16, 4001, 8002, 16004, 32008, 64016.
What is 64016 in binary?
1111101000010000 (hexadecimal FA10, octal 175020).
What is the square root of 64016?
About 253.0138, exactly 4√4001.
Is 64016 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 64016?
It is a composite number with 10 divisors.