The number 53985
53985 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 59 × 61. Divisors (16): 1, 3, 5, 15, 59, 61, 177, 183, 295, 305, 885, 915, 3599, 10797, 17995, 53985.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53985 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53985 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 53985 itself that is 35295, so 53985 is deficient (35295 is less than 53985). Euler's totient φ(53985) = 27840 numbers up to 53985 share no factor with it.
- 4
The digits of 53985 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53985 = 3 \times 5 \times 59 \times 61 \]
53985 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 27840 |
| Square | 2914380225 |
| Cube | 157332816446625 |
| Square root | 232.346724 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.3985 × |
53985 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and eighty-five |
| Binary (base 2) | 1101001011100001 |
| Octal (base 8) | 151341 |
| Hexadecimal (base 16) | D2E1 |
| Base 3 | 2202001110 |
| As time | 53985 seconds = 14 h 59 min 45 s |
Is 53985 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 (53985 ÷ 3 = 17995) | 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 (53985 ÷ 5 = 10797) | 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 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53985 a prime number?
No. 53985 = 3 × 5 × 59 × 61, so it is divisible by 3.
What are the factors of 53985?
1, 3, 5, 15, 59, 61, 177, 183, 295, 305, 885, 915, 3599, 10797, 17995, 53985.
What is 53985 in binary?
1101001011100001 (hexadecimal D2E1, octal 151341).
What is the square root of 53985?
About 232.3467.
Is 53985 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 53985?
It is a composite number with 16 divisors.