The number 26025
26025 is a composite number with 12 divisors. Its prime factorisation is 3 × × 347. Divisors (12): 1, 3, 5, 15, 25, 75, 347, 1041, 1735, 5205, 8675, 26025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26025: a Harshad number: divisible by its digit sum 15.
- 2
26025 is composite. Its prime factorisation is
- 3
The divisors add up to 43152; without 26025 itself that is 17127, so 26025 is deficient (17127 is less than 26025). Euler's totient φ(26025) = 13840 numbers up to 26025 share no factor with it.
- 4
The digits of 26025 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26025 = 3 \times 5^{2} \times 347 \]26025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43152 |
| Euler totient φ(n) | 13840 |
| Square | 677300625 |
| Cube | 17626748765625 |
| Square root | 161.322658 (= 5√1041) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.6025 × |
26025 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand and twenty-five |
| Binary (base 2) | 110010110101001 |
| Octal (base 8) | 62651 |
| Hexadecimal (base 16) | 65A9 |
| Base 3 | 1022200220 |
| As time | 26025 seconds = 7 h 13 min 45 s |
Is 26025 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 (26025 ÷ 3 = 8675) | 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 (26025 ÷ 5 = 5205) | 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 6) | 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 6) | 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 10) | 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 26025 a prime number?
No. 26025 = 3 × × 347, so it is divisible by 3.
What are the factors of 26025?
1, 3, 5, 15, 25, 75, 347, 1041, 1735, 5205, 8675, 26025.
What is 26025 in binary?
110010110101001 (hexadecimal 65A9, octal 62651).
What is the square root of 26025?
About 161.3227, exactly 5√1041.
Is 26025 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 26025?
26025 is a Harshad number: divisible by its digit sum 15.