The number 55955
55955 is a palindrome: it reads 55955 backwards too. Its prime factorisation is 5 × × 31. Divisors (12): 1, 5, 19, 31, 95, 155, 361, 589, 1805, 2945, 11191, 55955.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55955: a palindrome: it reads 55955 backwards too.
- 2
55955 is composite. Its prime factorisation is
- 3
The divisors add up to 73152; without 55955 itself that is 17197, so 55955 is deficient (17197 is less than 55955). Euler's totient φ(55955) = 41040 numbers up to 55955 share no factor with it.
- 4
The digits of 55955 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55955 = 5 \times 19^{2} \times 31 \]55955 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73152 |
| Euler totient φ(n) | 41040 |
| Square | 3130962025 |
| Cube | 175192980108875 |
| Square root | 236.548092 (= 19√155) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5955 × |
55955 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and fifty-five |
| Binary (base 2) | 1101101010010011 |
| Octal (base 8) | 155223 |
| Hexadecimal (base 16) | DA93 |
| Base 3 | 2211202102 |
| As time | 55955 seconds = 15 h 32 min 35 s |
Is 55955 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 (55955 ÷ 5 = 11191) | 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 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 | No (remainder 2) | 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 9) | 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 55955 a prime number?
No. 55955 = 5 × × 31, so it is divisible by 5.
What are the factors of 55955?
1, 5, 19, 31, 95, 155, 361, 589, 1805, 2945, 11191, 55955.
What is 55955 in binary?
1101101010010011 (hexadecimal DA93, octal 155223).
What is the square root of 55955?
About 236.5481, exactly 19√155.
Is 55955 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 55955?
55955 is a palindrome: it reads 55955 backwards too.