The number 55035
55035 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1223. Divisors (12): 1, 3, 5, 9, 15, 45, 1223, 3669, 6115, 11007, 18345, 55035.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55035 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55035 is composite. Its prime factorisation is
- 3
The divisors add up to 95472; without 55035 itself that is 40437, so 55035 is deficient (40437 is less than 55035). Euler's totient φ(55035) = 29328 numbers up to 55035 share no factor with it.
- 4
The digits of 55035 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55035 = 3^{2} \times 5 \times 1223 \]55035 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95472 |
| Euler totient φ(n) | 29328 |
| Square | 3028851225 |
| Cube | 166692827167875 |
| Square root | 234.595396 (= 3√6115) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5035 × |
55035 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and thirty-five |
| Binary (base 2) | 1101011011111011 |
| Octal (base 8) | 153373 |
| Hexadecimal (base 16) | D6FB |
| Base 3 | 2210111100 |
| As time | 55035 seconds = 15 h 17 min 15 s |
Is 55035 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 (55035 ÷ 3 = 18345) | 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 (55035 ÷ 5 = 11007) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55035 ÷ 9 = 6115) | 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 2) | 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 55035 a prime number?
No. 55035 = × 5 × 1223, so it is divisible by 3.
What are the factors of 55035?
1, 3, 5, 9, 15, 45, 1223, 3669, 6115, 11007, 18345, 55035.
What is 55035 in binary?
1101011011111011 (hexadecimal D6FB, octal 153373).
What is the square root of 55035?
About 234.5954, exactly 3√6115.
Is 55035 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55035?
It is a composite number with 12 divisors.