The number 55770
55770 is a composite number with 48 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × . Divisors (48): 1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65 … 55770.
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How to work it out
- 1
55770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55770 is composite. Its prime factorisation is
- 3
The divisors add up to 158112; without 55770 itself that is 102342, so 55770 is abundant (102342 is more than 55770). Euler's totient φ(55770) = 12480 numbers up to 55770 share no factor with it.
- 4
The digits of 55770 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55770 = 2 \times 3 \times 5 \times 11 \times 13^{2} \]55770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 158112 |
| Euler totient φ(n) | 12480 |
| Square | 3110292900 |
| Cube | 173461035033000 |
| Square root | 236.156728 (= 13√330) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.577 × |
55770 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and seventy |
| Binary (base 2) | 1101100111011010 |
| Octal (base 8) | 154732 |
| Hexadecimal (base 16) | D9DA |
| Base 3 | 2211111120 |
| As time | 55770 seconds = 15 h 29 min 30 s |
Is 55770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55770 ÷ 2 = 27885) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55770 ÷ 3 = 18590) | 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 (55770 ÷ 5 = 11154) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55770 ÷ 6 = 9295) | 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 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 | Yes (55770 ÷ 10 = 5577) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55770 ÷ 11 = 5070) | 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 55770 a prime number?
No. 55770 = 2 × 3 × 5 × 11 × , so it is divisible by 2.
What are the factors of 55770?
1, 2, 3, 5, 6, 10, 11, 13, 15, 22, 26, 30, 33, 39, 55, 65, 66, 78, 110, 130, 143, 165, 169, 195, 286, 330, 338, 390, 429, 507, 715, 845, 858, 1014, 1430, 1690, 1859, 2145, 2535, 3718, 4290, 5070, 5577, 9295, 11154, 18590, 27885, 55770.
What is 55770 in binary?
1101100111011010 (hexadecimal D9DA, octal 154732).
What is the square root of 55770?
About 236.1567, exactly 13√330.
Is 55770 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55770?
It is a composite number with 48 divisors.