The number 55275
55275 is a binary palindrome (1101011111101011). Its prime factorisation is 3 × × 11 × 67. Divisors (24): 1, 3, 5, 11, 15, 25, 33, 55, 67, 75, 165, 201, 275, 335, 737, 825 … 55275.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55275: a binary palindrome (1101011111101011).
- 2
55275 is composite. Its prime factorisation is
- 3
The divisors add up to 101184; without 55275 itself that is 45909, so 55275 is deficient (45909 is less than 55275). Euler's totient φ(55275) = 26400 numbers up to 55275 share no factor with it.
- 4
The digits of 55275 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 259 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55275 = 3 \times 5^{2} \times 11 \times 67 \]55275 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 101184 |
| Euler totient φ(n) | 26400 |
| Square | 3055325625 |
| Cube | 168883123921875 |
| Square root | 235.106359 (= 5√2211) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 259 |
| Scientific notation | 5.5275 × |
55275 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and seventy-five |
| Binary (base 2) | 1101011111101011 |
| Octal (base 8) | 153753 |
| Hexadecimal (base 16) | D7EB |
| Base 3 | 2210211020 |
| As time | 55275 seconds = 15 h 21 min 15 s |
Is 55275 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 (55275 ÷ 3 = 18425) | 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 (55275 ÷ 5 = 11055) | 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 3) | 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 | No (remainder 6) | 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 (55275 ÷ 11 = 5025) | 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 55275 a prime number?
No. 55275 = 3 × × 11 × 67, so it is divisible by 3.
What are the factors of 55275?
1, 3, 5, 11, 15, 25, 33, 55, 67, 75, 165, 201, 275, 335, 737, 825, 1005, 1675, 2211, 3685, 5025, 11055, 18425, 55275.
What is 55275 in binary?
1101011111101011 (hexadecimal D7EB, octal 153753).
What is the square root of 55275?
About 235.1064, exactly 5√2211.
Is 55275 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55275?
55275 is a binary palindrome (1101011111101011).