The number 26624
26624 is a composite number with 24 divisors. Its prime factorisation is × 13. Divisors (24): 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512 … 26624.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26624 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26624 is composite. Its prime factorisation is
- 3
The divisors add up to 57330; without 26624 itself that is 30706, so 26624 is abundant (30706 is more than 26624). Euler's totient φ(26624) = 12288 numbers up to 26624 share no factor with it.
- 4
The digits of 26624 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 20 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26624 = 2^{11} \times 13 \]26624 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 57330 |
| Euler totient φ(n) | 12288 |
| Square | 708837376 |
| Cube | 18872086298624 |
| Square root | 163.168624 (= 32√26) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 20 |
| Scientific notation | 2.6624 × |
26624 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand six hundred and twenty-four |
| Binary (base 2) | 110100000000000 |
| Octal (base 8) | 64000 |
| Hexadecimal (base 16) | 6800 |
| Base 3 | 1100112002 |
| As time | 26624 seconds = 7 h 23 min 44 s |
Is 26624 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (26624 ÷ 2 = 13312) | 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 (26624 ÷ 4 = 6656) | 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 | No (remainder 3) | 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 (26624 ÷ 8 = 3328) | 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 4) | 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 26624 a prime number?
No. 26624 = × 13, so it is divisible by 2.
What are the factors of 26624?
1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 128, 208, 256, 416, 512, 832, 1024, 1664, 2048, 3328, 6656, 13312, 26624.
What is 26624 in binary?
110100000000000 (hexadecimal 6800, octal 64000).
What is the square root of 26624?
About 163.1686, exactly 32√26.
Is 26624 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 26624?
It is a composite number with 24 divisors.