The number 55017
55017 is a composite number with 6 divisors. Its prime factorisation is × 6113. Divisors (6): 1, 3, 9, 6113, 18339, 55017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55017: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55017 is composite. Its prime factorisation is
- 3
The divisors add up to 79482; without 55017 itself that is 24465, so 55017 is deficient (24465 is less than 55017). Euler's totient φ(55017) = 36672 numbers up to 55017 share no factor with it.
- 4
The digits of 55017 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55017 = 3^{2} \times 6113 \]55017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 79482 |
| Euler totient φ(n) | 36672 |
| Square | 3026870289 |
| Cube | 166529322689913 |
| Square root | 234.557029 (= 3√6113) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5017 × |
55017 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and seventeen |
| Binary (base 2) | 1101011011101001 |
| Octal (base 8) | 153351 |
| Hexadecimal (base 16) | D6E9 |
| Base 3 | 2210110200 |
| As time | 55017 seconds = 15 h 16 min 57 s |
Is 55017 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 (55017 ÷ 3 = 18339) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55017 ÷ 9 = 6113) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55017 a prime number?
No. 55017 = × 6113, so it is divisible by 3.
What are the factors of 55017?
1, 3, 9, 6113, 18339, 55017.
What is 55017 in binary?
1101011011101001 (hexadecimal D6E9, octal 153351).
What is the square root of 55017?
About 234.5570, exactly 3√6113.
Is 55017 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55017?
55017 is a happy number: repeatedly adding the squares of its digits reaches 1.