The number 64736
64736 is a composite number with 36 divisors. Its prime factorisation is × 7 × . Divisors (36): 1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136 … 64736.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
64736 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
64736 is composite. Its prime factorisation is
- 3
The divisors add up to 154728; without 64736 itself that is 89992, so 64736 is abundant (89992 is more than 64736). Euler's totient φ(64736) = 26112 numbers up to 64736 share no factor with it.
- 4
The digits of 64736 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64736 = 2^{5} \times 7 \times 17^{2} \]64736 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 154728 |
| Euler totient φ(n) | 26112 |
| Square | 4190749696 |
| Cube | 271292372320256 |
| Square root | 254.432702 (= 68√14) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.4736 × |
64736 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand seven hundred and thirty-six |
| Binary (base 2) | 1111110011100000 |
| Octal (base 8) | 176340 |
| Hexadecimal (base 16) | FCE0 |
| Base 3 | 10021210122 |
| As time | 64736 seconds = 17 h 58 min 56 s |
Is 64736 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64736 ÷ 2 = 32368) | 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 (64736 ÷ 4 = 16184) | 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 | Yes (64736 ÷ 7 = 9248) | 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 (64736 ÷ 8 = 8092) | 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 1) | 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 64736 a prime number?
No. 64736 = × 7 × , so it is divisible by 2.
What are the factors of 64736?
1, 2, 4, 7, 8, 14, 16, 17, 28, 32, 34, 56, 68, 112, 119, 136, 224, 238, 272, 289, 476, 544, 578, 952, 1156, 1904, 2023, 2312, 3808, 4046, 4624, 8092, 9248, 16184, 32368, 64736.
What is 64736 in binary?
1111110011100000 (hexadecimal FCE0, octal 176340).
What is the square root of 64736?
About 254.4327, exactly 68√14.
Is 64736 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 64736?
It is a composite number with 36 divisors.