The number 55380
55380 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 13 × 71. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60 … 55380.
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How to work it out
- 1
55380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55380 is composite. Its prime factorisation is
- 3
The divisors add up to 169344; without 55380 itself that is 113964, so 55380 is abundant (113964 is more than 55380). Euler's totient φ(55380) = 13440 numbers up to 55380 share no factor with it.
- 4
The digits of 55380 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55380 = 2^{2} \times 3 \times 5 \times 13 \times 71 \]55380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 169344 |
| Euler totient φ(n) | 13440 |
| Square | 3066944400 |
| Cube | 169847380872000 |
| Square root | 235.329556 (= 2√13845) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.538 × |
55380 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and eighty |
| Binary (base 2) | 1101100001010100 |
| Octal (base 8) | 154124 |
| Hexadecimal (base 16) | D854 |
| Base 3 | 2210222010 |
| As time | 55380 seconds = 15 h 23 min 0 s |
Is 55380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55380 ÷ 2 = 27690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55380 ÷ 3 = 18460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55380 ÷ 4 = 13845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55380 ÷ 5 = 11076) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55380 ÷ 6 = 9230) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55380 ÷ 10 = 5538) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55380 ÷ 12 = 4615) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55380 a prime number?
No. 55380 = × 3 × 5 × 13 × 71, so it is divisible by 2.
What are the factors of 55380?
1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 71, 78, 130, 142, 156, 195, 213, 260, 284, 355, 390, 426, 710, 780, 852, 923, 1065, 1420, 1846, 2130, 2769, 3692, 4260, 4615, 5538, 9230, 11076, 13845, 18460, 27690, 55380.
What is 55380 in binary?
1101100001010100 (hexadecimal D854, octal 154124).
What is the square root of 55380?
About 235.3296, exactly 2√13845.
Is 55380 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55380?
It is a composite number with 48 divisors.