The number 10264
10264 is a composite number with 8 divisors. Its prime factorisation is × 1283. Divisors (8): 1, 2, 4, 8, 1283, 2566, 5132, 10264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10264 is composite. Its prime factorisation is
- 3
The divisors add up to 19260; without 10264 itself that is 8996, so 10264 is deficient (8996 is less than 10264). Euler's totient φ(10264) = 5128 numbers up to 10264 share no factor with it.
- 4
The digits of 10264 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10264 = 2^{3} \times 1283 \]10264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 19260 |
| Euler totient φ(n) | 5128 |
| Square | 105349696 |
| Cube | 1081309279744 |
| Square root | 101.311401 (= 2√2566) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.0264 × |
10264 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and sixty-four |
| Binary (base 2) | 10100000011000 |
| Octal (base 8) | 24030 |
| Hexadecimal (base 16) | 2818 |
| Base 3 | 112002011 |
| As time | 10264 seconds = 2 h 51 min 4 s |
Is 10264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10264 ÷ 2 = 5132) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10264 ÷ 4 = 2566) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (10264 ÷ 8 = 1283) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10264 a prime number?
No. 10264 = × 1283, so it is divisible by 2.
What are the factors of 10264?
1, 2, 4, 8, 1283, 2566, 5132, 10264.
What is 10264 in binary?
10100000011000 (hexadecimal 2818, octal 24030).
What is the square root of 10264?
About 101.3114, exactly 2√2566.
Is 10264 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10264?
It is a composite number with 8 divisors.