The number 55740
55740 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 929. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 929, 1858, 2787, 3716 … 55740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55740 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 55740 itself that is 100500, so 55740 is abundant (100500 is more than 55740). Euler's totient φ(55740) = 14848 numbers up to 55740 share no factor with it.
- 4
The digits of 55740 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
\[ 55740 = 2^{2} \times 3 \times 5 \times 929 \]55740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 14848 |
| Square | 3106947600 |
| Cube | 173181259224000 |
| Square root | 236.093202 (= 2√13935) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.574 × |
55740 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and forty |
| Binary (base 2) | 1101100110111100 |
| Octal (base 8) | 154674 |
| Hexadecimal (base 16) | D9BC |
| Base 3 | 2211110110 |
| As time | 55740 seconds = 15 h 29 min 0 s |
Is 55740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55740 ÷ 2 = 27870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55740 ÷ 3 = 18580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55740 ÷ 4 = 13935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55740 ÷ 5 = 11148) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55740 ÷ 6 = 9290) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (55740 ÷ 10 = 5574) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55740 ÷ 12 = 4645) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55740 a prime number?
No. 55740 = × 3 × 5 × 929, so it is divisible by 2.
What are the factors of 55740?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 929, 1858, 2787, 3716, 4645, 5574, 9290, 11148, 13935, 18580, 27870, 55740.
What is 55740 in binary?
1101100110111100 (hexadecimal D9BC, octal 154674).
What is the square root of 55740?
About 236.0932, exactly 2√13935.
Is 55740 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55740?
It is a composite number with 24 divisors.