The number 55590
55590 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 17 × 109. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 109, 170, 218 … 55590.
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How to work it out
- 1
55590 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55590 is composite. Its prime factorisation is
- 3
The divisors add up to 142560; without 55590 itself that is 86970, so 55590 is abundant (86970 is more than 55590). Euler's totient φ(55590) = 13824 numbers up to 55590 share no factor with it.
- 4
The digits of 55590 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55590 = 2 \times 3 \times 5 \times 17 \times 109 \]
55590 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 142560 |
| Euler totient φ(n) | 13824 |
| Square | 3090248100 |
| Cube | 171786891879000 |
| Square root | 235.775317 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.559 × |
55590 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and ninety |
| Binary (base 2) | 1101100100100110 |
| Octal (base 8) | 154446 |
| Hexadecimal (base 16) | D926 |
| Base 3 | 2211020220 |
| As time | 55590 seconds = 15 h 26 min 30 s |
Is 55590 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55590 ÷ 2 = 27795) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55590 ÷ 3 = 18530) | 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 | Yes (55590 ÷ 5 = 11118) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55590 ÷ 6 = 9265) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55590 ÷ 10 = 5559) | 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 55590 a prime number?
No. 55590 = 2 × 3 × 5 × 17 × 109, so it is divisible by 2.
What are the factors of 55590?
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 109, 170, 218, 255, 327, 510, 545, 654, 1090, 1635, 1853, 3270, 3706, 5559, 9265, 11118, 18530, 27795, 55590.
What is 55590 in binary?
1101100100100110 (hexadecimal D926, octal 154446).
What is the square root of 55590?
About 235.7753.
Is 55590 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55590?
It is a composite number with 32 divisors.