The number 55355
55355 is a palindrome: it reads 55355 backwards too. Its prime factorisation is 5 × 11071. Divisors (4): 1, 5, 11071, 55355.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55355: a palindrome: it reads 55355 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 11071, the product of two primes.
- 2
55355 is composite. Its prime factorisation is
- 3
The divisors add up to 66432; without 55355 itself that is 11077, so 55355 is deficient (11077 is less than 55355). Euler's totient φ(55355) = 44280 numbers up to 55355 share no factor with it.
- 4
The digits of 55355 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55355 = 5 \times 11071 \]
55355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 66432 |
| Euler totient φ(n) | 44280 |
| Square | 3064176025 |
| Cube | 169617463863875 |
| Square root | 235.276433 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.5355 × |
55355 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and fifty-five |
| Binary (base 2) | 1101100000111011 |
| Octal (base 8) | 154073 |
| Hexadecimal (base 16) | D83B |
| Base 3 | 2210221012 |
| As time | 55355 seconds = 15 h 22 min 35 s |
Is 55355 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 | No (remainder 2) | 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 (55355 ÷ 5 = 11071) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55355 a prime number?
No. 55355 = 5 × 11071, so it is divisible by 5.
What are the factors of 55355?
1, 5, 11071, 55355.
What is 55355 in binary?
1101100000111011 (hexadecimal D83B, octal 154073).
What is the square root of 55355?
About 235.2764.
Is 55355 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55355?
55355 is a palindrome: it reads 55355 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 11071, the product of two primes.