The number 26264
26264 is a composite number with 24 divisors. Its prime factorisation is × × 67. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 67, 98, 134, 196, 268, 392, 469 … 26264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26264 is composite. Its prime factorisation is
- 3
The divisors add up to 58140; without 26264 itself that is 31876, so 26264 is abundant (31876 is more than 26264). Euler's totient φ(26264) = 11088 numbers up to 26264 share no factor with it.
- 4
The digits of 26264 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 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26264 = 2^{3} \times 7^{2} \times 67 \]26264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 58140 |
| Euler totient φ(n) | 11088 |
| Square | 689797696 |
| Cube | 18116846687744 |
| Square root | 162.061717 (= 14√134) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.6264 × |
26264 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand two hundred and sixty-four |
| Binary (base 2) | 110011010011000 |
| Octal (base 8) | 63230 |
| Hexadecimal (base 16) | 6698 |
| Base 3 | 1100000202 |
| As time | 26264 seconds = 7 h 17 min 44 s |
Is 26264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26264 ÷ 2 = 13132) | 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 (26264 ÷ 4 = 6566) | 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 (26264 ÷ 7 = 3752) | 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 (26264 ÷ 8 = 3283) | 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 | No (remainder 7) | 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 26264 a prime number?
No. 26264 = × × 67, so it is divisible by 2.
What are the factors of 26264?
1, 2, 4, 7, 8, 14, 28, 49, 56, 67, 98, 134, 196, 268, 392, 469, 536, 938, 1876, 3283, 3752, 6566, 13132, 26264.
What is 26264 in binary?
110011010011000 (hexadecimal 6698, octal 63230).
What is the square root of 26264?
About 162.0617, exactly 14√134.
Is 26264 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26264?
It is a composite number with 24 divisors.