The number 55735
55735 is a composite number with 8 divisors. Its prime factorisation is 5 × 71 × 157. Divisors (8): 1, 5, 71, 157, 355, 785, 11147, 55735.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55735: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55735 is composite. Its prime factorisation is
- 3
The divisors add up to 68256; without 55735 itself that is 12521, so 55735 is deficient (12521 is less than 55735). Euler's totient φ(55735) = 43680 numbers up to 55735 share no factor with it.
- 4
The digits of 55735 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55735 = 5 \times 71 \times 157 \]
55735 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 68256 |
| Euler totient φ(n) | 43680 |
| Square | 3106390225 |
| Cube | 173134659190375 |
| Square root | 236.082613 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5735 × |
55735 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and thirty-five |
| Binary (base 2) | 1101100110110111 |
| Octal (base 8) | 154667 |
| Hexadecimal (base 16) | D9B7 |
| Base 3 | 2211110021 |
| As time | 55735 seconds = 15 h 28 min 55 s |
Is 55735 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 1) | 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 (55735 ÷ 5 = 11147) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55735 a prime number?
No. 55735 = 5 × 71 × 157, so it is divisible by 5.
What are the factors of 55735?
1, 5, 71, 157, 355, 785, 11147, 55735.
What is 55735 in binary?
1101100110110111 (hexadecimal D9B7, octal 154667).
What is the square root of 55735?
About 236.0826.
Is 55735 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55735?
55735 is a happy number: repeatedly adding the squares of its digits reaches 1.