The number 53475
53475 is a composite number with 24 divisors. Its prime factorisation is 3 × × 23 × 31. Divisors (24): 1, 3, 5, 15, 23, 25, 31, 69, 75, 93, 115, 155, 345, 465, 575, 713 … 53475.
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How to work it out
- 1
53475 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53475 is composite. Its prime factorisation is
- 3
The divisors add up to 95232; without 53475 itself that is 41757, so 53475 is deficient (41757 is less than 53475). Euler's totient φ(53475) = 26400 numbers up to 53475 share no factor with it.
- 4
The digits of 53475 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53475 = 3 \times 5^{2} \times 23 \times 31 \]53475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95232 |
| Euler totient φ(n) | 26400 |
| Square | 2859575625 |
| Cube | 152915806546875 |
| Square root | 231.246622 (= 5√2139) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3475 × |
53475 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand four hundred and seventy-five |
| Binary (base 2) | 1101000011100011 |
| Octal (base 8) | 150343 |
| Hexadecimal (base 16) | D0E3 |
| Base 3 | 2201100120 |
| As time | 53475 seconds = 14 h 51 min 15 s |
Is 53475 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 (53475 ÷ 3 = 17825) | 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 (53475 ÷ 5 = 10695) | 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 2) | 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 4) | 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 53475 a prime number?
No. 53475 = 3 × × 23 × 31, so it is divisible by 3.
What are the factors of 53475?
1, 3, 5, 15, 23, 25, 31, 69, 75, 93, 115, 155, 345, 465, 575, 713, 775, 1725, 2139, 2325, 3565, 10695, 17825, 53475.
What is 53475 in binary?
1101000011100011 (hexadecimal D0E3, octal 150343).
What is the square root of 53475?
About 231.2466, exactly 5√2139.
Is 53475 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 53475?
It is a composite number with 24 divisors.