The number 55706
55706 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 23 × 173. Divisors (16): 1, 2, 7, 14, 23, 46, 161, 173, 322, 346, 1211, 2422, 3979, 7958, 27853, 55706.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55706: a Harshad number: divisible by its digit sum 23.
- 2
55706 is composite. Its prime factorisation is
- 3
The divisors add up to 100224; without 55706 itself that is 44518, so 55706 is deficient (44518 is less than 55706). Euler's totient φ(55706) = 22704 numbers up to 55706 share no factor with it.
- 4
The digits of 55706 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55706 = 2 \times 7 \times 23 \times 173 \]
55706 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100224 |
| Euler totient φ(n) | 22704 |
| Square | 3103158436 |
| Cube | 172864543835816 |
| Square root | 236.021185 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5706 × |
55706 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and six |
| Binary (base 2) | 1101100110011010 |
| Octal (base 8) | 154632 |
| Hexadecimal (base 16) | D99A |
| Base 3 | 2211102012 |
| As time | 55706 seconds = 15 h 28 min 26 s |
Is 55706 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55706 ÷ 2 = 27853) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55706 ÷ 7 = 7958) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55706 a prime number?
No. 55706 = 2 × 7 × 23 × 173, so it is divisible by 2.
What are the factors of 55706?
1, 2, 7, 14, 23, 46, 161, 173, 322, 346, 1211, 2422, 3979, 7958, 27853, 55706.
What is 55706 in binary?
1101100110011010 (hexadecimal D99A, octal 154632).
What is the square root of 55706?
About 236.0212.
Is 55706 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55706?
55706 is a Harshad number: divisible by its digit sum 23.