The number 55746
55746 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 163. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 163, 171, 326, 342, 489, 978 … 55746.
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How to work it out
- 1
55746 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55746 is composite. Its prime factorisation is
- 3
The divisors add up to 127920; without 55746 itself that is 72174, so 55746 is abundant (72174 is more than 55746). Euler's totient φ(55746) = 17496 numbers up to 55746 share no factor with it.
- 4
The digits of 55746 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55746 = 2 \times 3^{2} \times 19 \times 163 \]55746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127920 |
| Euler totient φ(n) | 17496 |
| Square | 3107616516 |
| Cube | 173237190300936 |
| Square root | 236.105908 (= 3√6194) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5746 × |
55746 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand seven hundred and forty-six |
| Binary (base 2) | 1101100111000010 |
| Octal (base 8) | 154702 |
| Hexadecimal (base 16) | D9C2 |
| Base 3 | 2211110200 |
| As time | 55746 seconds = 15 h 29 min 6 s |
Is 55746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55746 ÷ 2 = 27873) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55746 ÷ 3 = 18582) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55746 ÷ 6 = 9291) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55746 ÷ 9 = 6194) | 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 9) | 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 55746 a prime number?
No. 55746 = 2 × × 19 × 163, so it is divisible by 2.
What are the factors of 55746?
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 163, 171, 326, 342, 489, 978, 1467, 2934, 3097, 6194, 9291, 18582, 27873, 55746.
What is 55746 in binary?
1101100111000010 (hexadecimal D9C2, octal 154702).
What is the square root of 55746?
About 236.1059, exactly 3√6194.
Is 55746 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55746?
It is a composite number with 24 divisors.