The number 55056
55056 is a composite number with 40 divisors. Its prime factorisation is × 3 × 31 × 37. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 37, 48, 62, 74, 93, 111 … 55056.
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How to work it out
- 1
55056 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55056 is composite. Its prime factorisation is
- 3
The divisors add up to 150784; without 55056 itself that is 95728, so 55056 is abundant (95728 is more than 55056). Euler's totient φ(55056) = 17280 numbers up to 55056 share no factor with it.
- 4
The digits of 55056 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55056 = 2^{4} \times 3 \times 31 \times 37 \]55056 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 150784 |
| Euler totient φ(n) | 17280 |
| Square | 3031163136 |
| Cube | 166883717615616 |
| Square root | 234.640150 (= 4√3441) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5056 × |
55056 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and fifty-six |
| Binary (base 2) | 1101011100010000 |
| Octal (base 8) | 153420 |
| Hexadecimal (base 16) | D710 |
| Base 3 | 2210112010 |
| As time | 55056 seconds = 15 h 17 min 36 s |
Is 55056 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55056 ÷ 2 = 27528) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55056 ÷ 3 = 18352) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55056 ÷ 4 = 13764) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55056 ÷ 6 = 9176) | 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 | Yes (55056 ÷ 8 = 6882) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55056 ÷ 12 = 4588) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55056 a prime number?
No. 55056 = × 3 × 31 × 37, so it is divisible by 2.
What are the factors of 55056?
1, 2, 3, 4, 6, 8, 12, 16, 24, 31, 37, 48, 62, 74, 93, 111, 124, 148, 186, 222, 248, 296, 372, 444, 496, 592, 744, 888, 1147, 1488, 1776, 2294, 3441, 4588, 6882, 9176, 13764, 18352, 27528, 55056.
What is 55056 in binary?
1101011100010000 (hexadecimal D710, octal 153420).
What is the square root of 55056?
About 234.6402, exactly 4√3441.
Is 55056 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55056?
It is a composite number with 40 divisors.