The number 16064
16064 is a composite number with 14 divisors. Its prime factorisation is × 251. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 251, 502, 1004, 2008, 4016, 8032, 16064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16064 is composite. Its prime factorisation is
- 3
The divisors add up to 32004; without 16064 itself that is 15940, so 16064 is deficient (15940 is less than 16064). Euler's totient φ(16064) = 8000 numbers up to 16064 share no factor with it.
- 4
The digits of 16064 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16064 = 2^{6} \times 251 \]16064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 32004 |
| Euler totient φ(n) | 8000 |
| Square | 258052096 |
| Cube | 4145348870144 |
| Square root | 126.743836 (= 8√251) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 71 |
| Scientific notation | 1.6064 × |
16064 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and sixty-four |
| Binary (base 2) | 11111011000000 |
| Octal (base 8) | 37300 |
| Hexadecimal (base 16) | 3EC0 |
| Base 3 | 211000222 |
| As time | 16064 seconds = 4 h 27 min 44 s |
Is 16064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16064 ÷ 2 = 8032) | 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 (16064 ÷ 4 = 4016) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (16064 ÷ 8 = 2008) | 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 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16064 a prime number?
No. 16064 = × 251, so it is divisible by 2.
What are the factors of 16064?
1, 2, 4, 8, 16, 32, 64, 251, 502, 1004, 2008, 4016, 8032, 16064.
What is 16064 in binary?
11111011000000 (hexadecimal 3EC0, octal 37300).
What is the square root of 16064?
About 126.7438, exactly 8√251.
Is 16064 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16064?
It is a composite number with 14 divisors.