The number 55998
55998 is a composite number with 32 divisors. Its prime factorisation is 2 × × 17 × 61. Divisors (32): 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 61, 102, 122, 153, 183 … 55998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55998 is composite. Its prime factorisation is
- 3
The divisors add up to 133920; without 55998 itself that is 77922, so 55998 is abundant (77922 is more than 55998). Euler's totient φ(55998) = 17280 numbers up to 55998 share no factor with it.
- 4
The digits of 55998 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55998 = 2 \times 3^{3} \times 17 \times 61 \]55998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 133920 |
| Euler totient φ(n) | 17280 |
| Square | 3135776004 |
| Cube | 175597184671992 |
| Square root | 236.638966 (= 3√6222) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5998 × |
55998 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and ninety-eight |
| Binary (base 2) | 1101101010111110 |
| Octal (base 8) | 155276 |
| Hexadecimal (base 16) | DABE |
| Base 3 | 2211211000 |
| As time | 55998 seconds = 15 h 33 min 18 s |
Is 55998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55998 ÷ 2 = 27999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55998 ÷ 3 = 18666) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55998 ÷ 6 = 9333) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (55998 ÷ 9 = 6222) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 55998 a prime number?
No. 55998 = 2 × × 17 × 61, so it is divisible by 2.
What are the factors of 55998?
1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 61, 102, 122, 153, 183, 306, 366, 459, 549, 918, 1037, 1098, 1647, 2074, 3111, 3294, 6222, 9333, 18666, 27999, 55998.
What is 55998 in binary?
1101101010111110 (hexadecimal DABE, octal 155276).
What is the square root of 55998?
About 236.6390, exactly 3√6222.
Is 55998 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 55998?
It is a composite number with 32 divisors.