The number 26125
26125 is a composite number with 16 divisors. Its prime factorisation is × 11 × 19. Divisors (16): 1, 5, 11, 19, 25, 55, 95, 125, 209, 275, 475, 1045, 1375, 2375, 5225, 26125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26125: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26125 is composite. Its prime factorisation is
- 3
The divisors add up to 37440; without 26125 itself that is 11315, so 26125 is deficient (11315 is less than 26125). Euler's totient φ(26125) = 18000 numbers up to 26125 share no factor with it.
- 4
The digits of 26125 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26125 = 5^{3} \times 11 \times 19 \]26125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 37440 |
| Euler totient φ(n) | 18000 |
| Square | 682515625 |
| Cube | 17830720703125 |
| Square root | 161.632299 (= 5√1045) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.6125 × |
26125 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand one hundred and twenty-five |
| Binary (base 2) | 110011000001101 |
| Octal (base 8) | 63015 |
| Hexadecimal (base 16) | 660D |
| Base 3 | 1022211121 |
| As time | 26125 seconds = 7 h 15 min 25 s |
Is 26125 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 1) | 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 (26125 ÷ 5 = 5225) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (26125 ÷ 11 = 2375) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26125 a prime number?
No. 26125 = × 11 × 19, so it is divisible by 5.
What are the factors of 26125?
1, 5, 11, 19, 25, 55, 95, 125, 209, 275, 475, 1045, 1375, 2375, 5225, 26125.
What is 26125 in binary?
110011000001101 (hexadecimal 660D, octal 63015).
What is the square root of 26125?
About 161.6323, exactly 5√1045.
Is 26125 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 26125?
26125 is a happy number: repeatedly adding the squares of its digits reaches 1.