The number 55772
55772 is a composite number with 12 divisors. Its prime factorisation is × 73 × 191. Divisors (12): 1, 2, 4, 73, 146, 191, 292, 382, 764, 13943, 27886, 55772.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55772 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55772 is composite. Its prime factorisation is
- 3
The divisors add up to 99456; without 55772 itself that is 43684, so 55772 is deficient (43684 is less than 55772). Euler's totient φ(55772) = 27360 numbers up to 55772 share no factor with it.
- 4
The digits of 55772 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55772 = 2^{2} \times 73 \times 191 \]55772 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 99456 |
| Euler totient φ(n) | 27360 |
| Square | 3110515984 |
| Cube | 173479697459648 |
| Square root | 236.160962 (= 2√13943) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5772 × |
55772 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and seventy-two |
| Binary (base 2) | 1101100111011100 |
| Octal (base 8) | 154734 |
| Hexadecimal (base 16) | D9DC |
| Base 3 | 2211111122 |
| As time | 55772 seconds = 15 h 29 min 32 s |
Is 55772 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55772 ÷ 2 = 27886) | 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 (55772 ÷ 4 = 13943) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 55772 a prime number?
No. 55772 = × 73 × 191, so it is divisible by 2.
What are the factors of 55772?
1, 2, 4, 73, 146, 191, 292, 382, 764, 13943, 27886, 55772.
What is 55772 in binary?
1101100111011100 (hexadecimal D9DC, octal 154734).
What is the square root of 55772?
About 236.1610, exactly 2√13943.
Is 55772 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55772?
It is a composite number with 12 divisors.