The number 55707
55707 is a binary palindrome (1101100110011011). Its prime factorisation is 3 × 31 × 599. Divisors (8): 1, 3, 31, 93, 599, 1797, 18569, 55707.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55707: a binary palindrome (1101100110011011).
- 2
55707 is composite. Its prime factorisation is
- 3
The divisors add up to 76800; without 55707 itself that is 21093, so 55707 is deficient (21093 is less than 55707). Euler's totient φ(55707) = 35880 numbers up to 55707 share no factor with it.
- 4
The digits of 55707 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55707 = 3 \times 31 \times 599 \]
55707 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76800 |
| Euler totient φ(n) | 35880 |
| Square | 3103269849 |
| Cube | 172873853478243 |
| Square root | 236.023304 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5707 × |
55707 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and seven |
| Binary (base 2) | 1101100110011011 |
| Octal (base 8) | 154633 |
| Hexadecimal (base 16) | D99B |
| Base 3 | 2211102020 |
| As time | 55707 seconds = 15 h 28 min 27 s |
Is 55707 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 (55707 ÷ 3 = 18569) | 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 | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55707 a prime number?
No. 55707 = 3 × 31 × 599, so it is divisible by 3.
What are the factors of 55707?
1, 3, 31, 93, 599, 1797, 18569, 55707.
What is 55707 in binary?
1101100110011011 (hexadecimal D99B, octal 154633).
What is the square root of 55707?
About 236.0233.
Is 55707 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55707?
55707 is a binary palindrome (1101100110011011).