The number 55986
55986 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 31 × 43. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 31, 42, 43, 62, 86, 93, 129, 186, 217 … 55986.
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How to work it out
- 1
55986 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55986 is composite. Its prime factorisation is
- 3
The divisors add up to 135168; without 55986 itself that is 79182, so 55986 is abundant (79182 is more than 55986). Euler's totient φ(55986) = 15120 numbers up to 55986 share no factor with it.
- 4
The digits of 55986 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55986 = 2 \times 3 \times 7 \times 31 \times 43 \]
55986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 135168 |
| Euler totient φ(n) | 15120 |
| Square | 3134432196 |
| Cube | 175484320925256 |
| Square root | 236.613609 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5986 × |
55986 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and eighty-six |
| Binary (base 2) | 1101101010110010 |
| Octal (base 8) | 155262 |
| Hexadecimal (base 16) | DAB2 |
| Base 3 | 2211210120 |
| As time | 55986 seconds = 15 h 33 min 6 s |
Is 55986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55986 ÷ 2 = 27993) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55986 ÷ 3 = 18662) | 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 | Yes (55986 ÷ 6 = 9331) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55986 ÷ 7 = 7998) | 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 6) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55986 a prime number?
No. 55986 = 2 × 3 × 7 × 31 × 43, so it is divisible by 2.
What are the factors of 55986?
1, 2, 3, 6, 7, 14, 21, 31, 42, 43, 62, 86, 93, 129, 186, 217, 258, 301, 434, 602, 651, 903, 1302, 1333, 1806, 2666, 3999, 7998, 9331, 18662, 27993, 55986.
What is 55986 in binary?
1101101010110010 (hexadecimal DAB2, octal 155262).
What is the square root of 55986?
About 236.6136.
Is 55986 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 55986?
It is a composite number with 32 divisors.