The number 55395
55395 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1231. Divisors (12): 1, 3, 5, 9, 15, 45, 1231, 3693, 6155, 11079, 18465, 55395.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55395 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55395 is composite. Its prime factorisation is
- 3
The divisors add up to 96096; without 55395 itself that is 40701, so 55395 is deficient (40701 is less than 55395). Euler's totient φ(55395) = 29520 numbers up to 55395 share no factor with it.
- 4
The digits of 55395 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55395 = 3^{2} \times 5 \times 1231 \]55395 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 96096 |
| Euler totient φ(n) | 29520 |
| Square | 3068606025 |
| Cube | 169985430754875 |
| Square root | 235.361424 (= 3√6155) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5395 × |
55395 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and ninety-five |
| Binary (base 2) | 1101100001100011 |
| Octal (base 8) | 154143 |
| Hexadecimal (base 16) | D863 |
| Base 3 | 2210222200 |
| As time | 55395 seconds = 15 h 23 min 15 s |
Is 55395 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 (55395 ÷ 3 = 18465) | 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 (55395 ÷ 5 = 11079) | 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 4) | 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 (55395 ÷ 9 = 6155) | 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 10) | 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 55395 a prime number?
No. 55395 = × 5 × 1231, so it is divisible by 3.
What are the factors of 55395?
1, 3, 5, 9, 15, 45, 1231, 3693, 6155, 11079, 18465, 55395.
What is 55395 in binary?
1101100001100011 (hexadecimal D863, octal 154143).
What is the square root of 55395?
About 235.3614, exactly 3√6155.
Is 55395 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55395?
It is a composite number with 12 divisors.