The number 26325
26325 is a composite number with 30 divisors. Its prime factorisation is × × 13. Divisors (30): 1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195 … 26325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
26325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
26325 is composite. Its prime factorisation is
- 3
The divisors add up to 52514; without 26325 itself that is 26189, so 26325 is deficient (26189 is less than 26325). Euler's totient φ(26325) = 12960 numbers up to 26325 share no factor with it.
- 4
The digits of 26325 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26325 = 3^{4} \times 5^{2} \times 13 \]26325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 52514 |
| Euler totient φ(n) | 12960 |
| Square | 693005625 |
| Cube | 18243373078125 |
| Square root | 162.249807 (= 45√13) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6325 × |
26325 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand three hundred and twenty-five |
| Binary (base 2) | 110011011010101 |
| Octal (base 8) | 63325 |
| Hexadecimal (base 16) | 66D5 |
| Base 3 | 1100010000 |
| As time | 26325 seconds = 7 h 18 min 45 s |
Is 26325 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (26325 ÷ 3 = 8775) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26325 ÷ 5 = 5265) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (26325 ÷ 9 = 2925) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26325 a prime number?
No. 26325 = × × 13, so it is divisible by 3.
What are the factors of 26325?
1, 3, 5, 9, 13, 15, 25, 27, 39, 45, 65, 75, 81, 117, 135, 195, 225, 325, 351, 405, 585, 675, 975, 1053, 1755, 2025, 2925, 5265, 8775, 26325.
What is 26325 in binary?
110011011010101 (hexadecimal 66D5, octal 63325).
What is the square root of 26325?
About 162.2498, exactly 45√13.
Is 26325 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 26325?
It is a composite number with 30 divisors.