The number 53325
53325 is a composite number with 24 divisors. Its prime factorisation is × × 79. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 45, 75, 79, 135, 225, 237, 395, 675, 711 … 53325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53325 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53325 is composite. Its prime factorisation is
- 3
The divisors add up to 99200; without 53325 itself that is 45875, so 53325 is deficient (45875 is less than 53325). Euler's totient φ(53325) = 28080 numbers up to 53325 share no factor with it.
- 4
The digits of 53325 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53325 = 3^{3} \times 5^{2} \times 79 \]53325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99200 |
| Euler totient φ(n) | 28080 |
| Square | 2843555625 |
| Cube | 151632603703125 |
| Square root | 230.922065 (= 15√237) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3325 × |
53325 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and twenty-five |
| Binary (base 2) | 1101000001001101 |
| Octal (base 8) | 150115 |
| Hexadecimal (base 16) | D04D |
| Base 3 | 2201011000 |
| As time | 53325 seconds = 14 h 48 min 45 s |
Is 53325 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 (53325 ÷ 3 = 17775) | 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 (53325 ÷ 5 = 10665) | 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 6) | 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 | Yes (53325 ÷ 9 = 5925) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53325 a prime number?
No. 53325 = × × 79, so it is divisible by 3.
What are the factors of 53325?
1, 3, 5, 9, 15, 25, 27, 45, 75, 79, 135, 225, 237, 395, 675, 711, 1185, 1975, 2133, 3555, 5925, 10665, 17775, 53325.
What is 53325 in binary?
1101000001001101 (hexadecimal D04D, octal 150115).
What is the square root of 53325?
About 230.9221, exactly 15√237.
Is 53325 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53325?
It is a composite number with 24 divisors.