The number 55966
55966 is a composite number with 4 divisors. Its prime factorisation is 2 × 27983. Divisors (4): 1, 2, 27983, 55966.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55966: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 27983, the product of two primes.
- 2
55966 is composite. Its prime factorisation is
- 3
The divisors add up to 83952; without 55966 itself that is 27986, so 55966 is deficient (27986 is less than 55966). Euler's totient φ(55966) = 27982 numbers up to 55966 share no factor with it.
- 4
The digits of 55966 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55966 = 2 \times 27983 \]
55966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83952 |
| Euler totient φ(n) | 27982 |
| Square | 3132193156 |
| Cube | 175296322168696 |
| Square root | 236.571342 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5966 × |
55966 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and sixty-six |
| Binary (base 2) | 1101101010011110 |
| Octal (base 8) | 155236 |
| Hexadecimal (base 16) | DA9E |
| Base 3 | 2211202211 |
| As time | 55966 seconds = 15 h 32 min 46 s |
Is 55966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55966 ÷ 2 = 27983) | 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 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55966 a prime number?
No. 55966 = 2 × 27983, so it is divisible by 2.
What are the factors of 55966?
1, 2, 27983, 55966.
What is 55966 in binary?
1101101010011110 (hexadecimal DA9E, octal 155236).
What is the square root of 55966?
About 236.5713.
Is 55966 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 55966?
55966 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 27983, the product of two primes.