The number 53955
53955 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 109. Divisors (24): 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 109, 165, 327, 495, 545, 981 … 53955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53955 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53955 is composite. Its prime factorisation is
- 3
The divisors add up to 102960; without 53955 itself that is 49005, so 53955 is deficient (49005 is less than 53955). Euler's totient φ(53955) = 25920 numbers up to 53955 share no factor with it.
- 4
The digits of 53955 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53955 = 3^{2} \times 5 \times 11 \times 109 \]53955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102960 |
| Euler totient φ(n) | 25920 |
| Square | 2911142025 |
| Cube | 157070667958875 |
| Square root | 232.282156 (= 3√5995) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.3955 × |
53955 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and fifty-five |
| Binary (base 2) | 1101001011000011 |
| Octal (base 8) | 151303 |
| Hexadecimal (base 16) | D2C3 |
| Base 3 | 2202000100 |
| As time | 53955 seconds = 14 h 59 min 15 s |
Is 53955 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 (53955 ÷ 3 = 17985) | 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 (53955 ÷ 5 = 10791) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53955 ÷ 9 = 5995) | 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 (53955 ÷ 11 = 4905) | 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 53955 a prime number?
No. 53955 = × 5 × 11 × 109, so it is divisible by 3.
What are the factors of 53955?
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 109, 165, 327, 495, 545, 981, 1199, 1635, 3597, 4905, 5995, 10791, 17985, 53955.
What is 53955 in binary?
1101001011000011 (hexadecimal D2C3, octal 151303).
What is the square root of 53955?
About 232.2822, exactly 3√5995.
Is 53955 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53955?
It is a composite number with 24 divisors.