The number 2475
2475 is a composite number with 18 divisors. Its prime factorisation is × × 11. Divisors (18): 1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495 … 2475.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2475: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
2475 is composite. Its prime factorisation is
- 3
The divisors add up to 4836; without 2475 itself that is 2361, so 2475 is deficient (2361 is less than 2475). Euler's totient φ(2475) = 1200 numbers up to 2475 share no factor with it.
- 4
The digits of 2475 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2475 = 3^{2} \times 5^{2} \times 11 \]2475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 4836 |
| Euler totient φ(n) | 1200 |
| Square | 6125625 |
| Cube | 15160921875 |
| Square root | 49.749372 (= 15√11) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 2.475 × |
2475 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and seventy-five |
| Roman numerals | MMCDLXXV |
| Binary (base 2) | 100110101011 |
| Octal (base 8) | 4653 |
| Hexadecimal (base 16) | 9AB |
| Base 3 | 10101200 |
| As time | 2475 seconds = 41 min 15 s |
Is 2475 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 (2475 ÷ 3 = 825) | 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 (2475 ÷ 5 = 495) | 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 4) | 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 | Yes (2475 ÷ 9 = 275) | 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 (2475 ÷ 11 = 225) | 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 2475 a prime number?
No. 2475 = × × 11, so it is divisible by 3.
What are the factors of 2475?
1, 3, 5, 9, 11, 15, 25, 33, 45, 55, 75, 99, 165, 225, 275, 495, 825, 2475.
What is 2475 in binary?
100110101011 (hexadecimal 9AB, octal 4653).
What is the square root of 2475?
About 49.7494, exactly 15√11.
What is 2475 in Roman numerals?
MMCDLXXV.
Is 2475 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2475?
2475 is a happy number: repeatedly adding the squares of its digits reaches 1.