The number 55782
55782 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1033. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1033, 2066, 3099, 6198, 9297, 18594, 27891, 55782.
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How to work it out
- 1
What is special about 55782: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.
- 2
55782 is composite. Its prime factorisation is
- 3
The divisors add up to 124080; without 55782 itself that is 68298, so 55782 is abundant (68298 is more than 55782). Euler's totient φ(55782) = 18576 numbers up to 55782 share no factor with it.
- 4
The digits of 55782 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55782 = 2 \times 3^{3} \times 1033 \]55782 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124080 |
| Euler totient φ(n) | 18576 |
| Square | 3111631524 |
| Cube | 173573029671768 |
| Square root | 236.182133 (= 3√6198) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5782 × |
55782 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and eighty-two |
| Binary (base 2) | 1101100111100110 |
| Octal (base 8) | 154746 |
| Hexadecimal (base 16) | D9E6 |
| Base 3 | 2211112000 |
| As time | 55782 seconds = 15 h 29 min 42 s |
Is 55782 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55782 ÷ 2 = 27891) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55782 ÷ 3 = 18594) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55782 ÷ 6 = 9297) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55782 ÷ 9 = 6198) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55782 a prime number?
No. 55782 = 2 × × 1033, so it is divisible by 2.
What are the factors of 55782?
1, 2, 3, 6, 9, 18, 27, 54, 1033, 2066, 3099, 6198, 9297, 18594, 27891, 55782.
What is 55782 in binary?
1101100111100110 (hexadecimal D9E6, octal 154746).
What is the square root of 55782?
About 236.1821, exactly 3√6198.
Is 55782 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55782?
55782 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 27.