The number 5475
5475 is a composite number with 12 divisors. Its prime factorisation is 3 × × 73. Divisors (12): 1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5475 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5475 is composite. Its prime factorisation is
- 3
The divisors add up to 9176; without 5475 itself that is 3701, so 5475 is deficient (3701 is less than 5475). Euler's totient φ(5475) = 2880 numbers up to 5475 share no factor with it.
- 4
The digits of 5475 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5475 = 3 \times 5^{2} \times 73 \]5475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9176 |
| Euler totient φ(n) | 2880 |
| Square | 29975625 |
| Cube | 164116546875 |
| Square root | 73.993243 (= 5√219) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.475 × |
5475 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and seventy-five |
| Binary (base 2) | 1010101100011 |
| Octal (base 8) | 12543 |
| Hexadecimal (base 16) | 1563 |
| Base 3 | 21111210 |
| As time | 5475 seconds = 1 h 31 min 15 s |
Is 5475 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 (5475 ÷ 3 = 1825) | 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 (5475 ÷ 5 = 1095) | 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 3) | 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 8) | 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 5475 a prime number?
No. 5475 = 3 × × 73, so it is divisible by 3.
What are the factors of 5475?
1, 3, 5, 15, 25, 73, 75, 219, 365, 1095, 1825, 5475.
What is 5475 in binary?
1010101100011 (hexadecimal 1563, octal 12543).
What is the square root of 5475?
About 73.9932, exactly 5√219.
Is 5475 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5475?
It is a composite number with 12 divisors.