The number 55340
55340 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2767. Divisors (12): 1, 2, 4, 5, 10, 20, 2767, 5534, 11068, 13835, 27670, 55340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55340 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55340 is composite. Its prime factorisation is
- 3
The divisors add up to 116256; without 55340 itself that is 60916, so 55340 is abundant (60916 is more than 55340). Euler's totient φ(55340) = 22128 numbers up to 55340 share no factor with it.
- 4
The digits of 55340 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55340 = 2^{2} \times 5 \times 2767 \]55340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116256 |
| Euler totient φ(n) | 22128 |
| Square | 3062515600 |
| Cube | 169479613304000 |
| Square root | 235.244554 (= 2√13835) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.534 × |
55340 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and forty |
| Binary (base 2) | 1101100000101100 |
| Octal (base 8) | 154054 |
| Hexadecimal (base 16) | D82C |
| Base 3 | 2210220122 |
| As time | 55340 seconds = 15 h 22 min 20 s |
Is 55340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55340 ÷ 2 = 27670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55340 ÷ 4 = 13835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55340 ÷ 5 = 11068) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55340 ÷ 10 = 5534) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55340 a prime number?
No. 55340 = × 5 × 2767, so it is divisible by 2.
What are the factors of 55340?
1, 2, 4, 5, 10, 20, 2767, 5534, 11068, 13835, 27670, 55340.
What is 55340 in binary?
1101100000101100 (hexadecimal D82C, octal 154054).
What is the square root of 55340?
About 235.2446, exactly 2√13835.
Is 55340 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55340?
It is a composite number with 12 divisors.