The number 55864
55864 is a composite number with 8 divisors. Its prime factorisation is × 6983. Divisors (8): 1, 2, 4, 8, 6983, 13966, 27932, 55864.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55864 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55864 is composite. Its prime factorisation is
- 3
The divisors add up to 104760; without 55864 itself that is 48896, so 55864 is deficient (48896 is less than 55864). Euler's totient φ(55864) = 27928 numbers up to 55864 share no factor with it.
- 4
The digits of 55864 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55864 = 2^{3} \times 6983 \]55864 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 104760 |
| Euler totient φ(n) | 27928 |
| Square | 3120786496 |
| Cube | 174339616812544 |
| Square root | 236.355664 (= 2√13966) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5864 × |
55864 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and sixty-four |
| Binary (base 2) | 1101101000111000 |
| Octal (base 8) | 155070 |
| Hexadecimal (base 16) | DA38 |
| Base 3 | 2211122001 |
| As time | 55864 seconds = 15 h 31 min 4 s |
Is 55864 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55864 ÷ 2 = 27932) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55864 ÷ 4 = 13966) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (55864 ÷ 8 = 6983) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55864 a prime number?
No. 55864 = × 6983, so it is divisible by 2.
What are the factors of 55864?
1, 2, 4, 8, 6983, 13966, 27932, 55864.
What is 55864 in binary?
1101101000111000 (hexadecimal DA38, octal 155070).
What is the square root of 55864?
About 236.3557, exactly 2√13966.
Is 55864 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55864?
It is a composite number with 8 divisors.