The number 26475
26475 is a composite number with 12 divisors. Its prime factorisation is 3 × × 353. Divisors (12): 1, 3, 5, 15, 25, 75, 353, 1059, 1765, 5295, 8825, 26475.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 26475: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
26475 is composite. Its prime factorisation is
- 3
The divisors add up to 43896; without 26475 itself that is 17421, so 26475 is deficient (17421 is less than 26475). Euler's totient φ(26475) = 14080 numbers up to 26475 share no factor with it.
- 4
The digits of 26475 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 170 steps to reach 1.
LaTeX source of the formulas on this page
\[ 26475 = 3 \times 5^{2} \times 353 \]26475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 43896 |
| Euler totient φ(n) | 14080 |
| Square | 700925625 |
| Cube | 18557005921875 |
| Square root | 162.711401 (= 5√1059) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 170 |
| Scientific notation | 2.6475 × |
26475 in other forms
| Form | Value |
|---|---|
| In words | twenty-six thousand four hundred and seventy-five |
| Binary (base 2) | 110011101101011 |
| Octal (base 8) | 63553 |
| Hexadecimal (base 16) | 676B |
| Base 3 | 1100022120 |
| As time | 26475 seconds = 7 h 21 min 15 s |
Is 26475 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 (26475 ÷ 3 = 8825) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (26475 ÷ 5 = 5295) | 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 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 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 26475 a prime number?
No. 26475 = 3 × × 353, so it is divisible by 3.
What are the factors of 26475?
1, 3, 5, 15, 25, 75, 353, 1059, 1765, 5295, 8825, 26475.
What is 26475 in binary?
110011101101011 (hexadecimal 676B, octal 63553).
What is the square root of 26475?
About 162.7114, exactly 5√1059.
Is 26475 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 26475?
26475 is a happy number: repeatedly adding the squares of its digits reaches 1.