The number 26825
26825 is a composite number with 12 divisors. Its prime factorisation is × 29 × 37. Divisors (12): 1, 5, 25, 29, 37, 145, 185, 725, 925, 1073, 5365, 26825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26825: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26825 is composite. Its prime factorisation is
- 3
The divisors add up to 35340; without 26825 itself that is 8515, so 26825 is deficient (8515 is less than 26825). Euler's totient φ(26825) = 20160 numbers up to 26825 share no factor with it.
- 4
The digits of 26825 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26825 = 5^{2} \times 29 \times 37 \]26825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35340 |
| Euler totient φ(n) | 20160 |
| Square | 719580625 |
| Cube | 19302750265625 |
| Square root | 163.783394 (= 5√1073) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6825 × |
26825 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand eight hundred and twenty-five |
| Binary (base 2) | 110100011001001 |
| Octal (base 8) | 64311 |
| Hexadecimal (base 16) | 68C9 |
| Base 3 | 1100210112 |
| As time | 26825 seconds = 7 h 27 min 5 s |
Is 26825 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 | No (remainder 2) | 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 (26825 ÷ 5 = 5365) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26825 a prime number?
No. 26825 = × 29 × 37, so it is divisible by 5.
What are the factors of 26825?
1, 5, 25, 29, 37, 145, 185, 725, 925, 1073, 5365, 26825.
What is 26825 in binary?
110100011001001 (hexadecimal 68C9, octal 64311).
What is the square root of 26825?
About 163.7834, exactly 5√1073.
Is 26825 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 26825?
26825 is a happy number: repeatedly adding the squares of its digits reaches 1.