The number 64064
64064 is a composite number with 56 divisors. Its prime factorisation is × 7 × 11 × 13. Divisors (56): 1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 32, 44, 52, 56 … 64064.
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How to work it out
- 1
64064 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64064 is composite. Its prime factorisation is
- 3
The divisors add up to 170688; without 64064 itself that is 106624, so 64064 is abundant (106624 is more than 64064). Euler's totient φ(64064) = 23040 numbers up to 64064 share no factor with it.
- 4
The digits of 64064 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64064 = 2^{6} \times 7 \times 11 \times 13 \]64064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 170688 |
| Euler totient φ(n) | 23040 |
| Square | 4104196096 |
| Cube | 262931218694144 |
| Square root | 253.108672 (= 8√1001) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 148 |
| Scientific notation | 6.4064 × |
64064 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and sixty-four |
| Binary (base 2) | 1111101001000000 |
| Octal (base 8) | 175100 |
| Hexadecimal (base 16) | FA40 |
| Base 3 | 10020212202 |
| As time | 64064 seconds = 17 h 47 min 44 s |
Is 64064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64064 ÷ 2 = 32032) | 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 (64064 ÷ 4 = 16016) | 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 | Yes (64064 ÷ 7 = 9152) | 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 (64064 ÷ 8 = 8008) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (64064 ÷ 11 = 5824) | 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 64064 a prime number?
No. 64064 = × 7 × 11 × 13, so it is divisible by 2.
What are the factors of 64064?
1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 32, 44, 52, 56, 64, 77, 88, 91, 104, 112, 143, 154, 176, 182, 208, 224, 286, 308, 352, 364, 416, 448, 572, 616, 704, 728, 832, 1001, 1144, 1232, 1456, 2002, 2288, 2464, 2912, 4004, 4576, 4928, 5824, 8008, 9152, 16016, 32032, 64064.
What is 64064 in binary?
1111101001000000 (hexadecimal FA40, octal 175100).
What is the square root of 64064?
About 253.1087, exactly 8√1001.
Is 64064 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 64064?
It is a composite number with 56 divisors.