The number 55980
55980 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 311. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 55980.
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How to work it out
- 1
55980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55980 is composite. Its prime factorisation is
- 3
The divisors add up to 170352; without 55980 itself that is 114372, so 55980 is abundant (114372 is more than 55980). Euler's totient φ(55980) = 14880 numbers up to 55980 share no factor with it.
- 4
The digits of 55980 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55980 = 2^{2} \times 3^{2} \times 5 \times 311 \]55980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 170352 |
| Euler totient φ(n) | 14880 |
| Square | 3133760400 |
| Cube | 175427907192000 |
| Square root | 236.600930 (= 6√1555) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.598 × |
55980 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and eighty |
| Binary (base 2) | 1101101010101100 |
| Octal (base 8) | 155254 |
| Hexadecimal (base 16) | DAAC |
| Base 3 | 2211210100 |
| As time | 55980 seconds = 15 h 33 min 0 s |
Is 55980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55980 ÷ 2 = 27990) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55980 ÷ 3 = 18660) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55980 ÷ 4 = 13995) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55980 ÷ 5 = 11196) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55980 ÷ 6 = 9330) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55980 ÷ 9 = 6220) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55980 ÷ 10 = 5598) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55980 ÷ 12 = 4665) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55980 a prime number?
No. 55980 = × × 5 × 311, so it is divisible by 2.
What are the factors of 55980?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 311, 622, 933, 1244, 1555, 1866, 2799, 3110, 3732, 4665, 5598, 6220, 9330, 11196, 13995, 18660, 27990, 55980.
What is 55980 in binary?
1101101010101100 (hexadecimal DAAC, octal 155254).
What is the square root of 55980?
About 236.6009, exactly 6√1555.
Is 55980 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55980?
It is a composite number with 36 divisors.