The number 55535
55535 is a composite number with 8 divisors. Its prime factorisation is 5 × 29 × 383. Divisors (8): 1, 5, 29, 145, 383, 1915, 11107, 55535.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55535: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55535 is composite. Its prime factorisation is
- 3
The divisors add up to 69120; without 55535 itself that is 13585, so 55535 is deficient (13585 is less than 55535). Euler's totient φ(55535) = 42784 numbers up to 55535 share no factor with it.
- 4
The digits of 55535 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55535 = 5 \times 29 \times 383 \]
55535 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 69120 |
| Euler totient φ(n) | 42784 |
| Square | 3084136225 |
| Cube | 171277505255375 |
| Square root | 235.658651 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5535 × |
55535 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and thirty-five |
| Binary (base 2) | 1101100011101111 |
| Octal (base 8) | 154357 |
| Hexadecimal (base 16) | D8EF |
| Base 3 | 2211011212 |
| As time | 55535 seconds = 15 h 25 min 35 s |
Is 55535 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 (55535 ÷ 5 = 11107) | 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 7) | 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 7) | 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 55535 a prime number?
No. 55535 = 5 × 29 × 383, so it is divisible by 5.
What are the factors of 55535?
1, 5, 29, 145, 383, 1915, 11107, 55535.
What is 55535 in binary?
1101100011101111 (hexadecimal D8EF, octal 154357).
What is the square root of 55535?
About 235.6587.
Is 55535 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55535?
55535 is a happy number: repeatedly adding the squares of its digits reaches 1.