The number 5264
5264 is a composite number with 20 divisors. Its prime factorisation is × 7 × 47. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658 … 5264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5264 is composite. Its prime factorisation is
- 3
The divisors add up to 11904; without 5264 itself that is 6640, so 5264 is abundant (6640 is more than 5264). Euler's totient φ(5264) = 2208 numbers up to 5264 share no factor with it.
- 4
The digits of 5264 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5264 = 2^{4} \times 7 \times 47 \]5264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 11904 |
| Euler totient φ(n) | 2208 |
| Square | 27709696 |
| Cube | 145863839744 |
| Square root | 72.553429 (= 4√329) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.264 × |
5264 in other forms
| Form | Value |
|---|---|
| In words | five thousand two hundred and sixty-four |
| Binary (base 2) | 1010010010000 |
| Octal (base 8) | 12220 |
| Hexadecimal (base 16) | 1490 |
| Base 3 | 21012222 |
| As time | 5264 seconds = 1 h 27 min 44 s |
Is 5264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5264 ÷ 2 = 2632) | 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 (5264 ÷ 4 = 1316) | 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 (5264 ÷ 7 = 752) | 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 (5264 ÷ 8 = 658) | 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 6) | 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 5264 a prime number?
No. 5264 = × 7 × 47, so it is divisible by 2.
What are the factors of 5264?
1, 2, 4, 7, 8, 14, 16, 28, 47, 56, 94, 112, 188, 329, 376, 658, 752, 1316, 2632, 5264.
What is 5264 in binary?
1010010010000 (hexadecimal 1490, octal 12220).
What is the square root of 5264?
About 72.5534, exactly 4√329.
Is 5264 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5264?
It is a composite number with 20 divisors.