The number 55176
55176 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 19. Divisors (48): 1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66 … 55176.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55176: a Harshad number: divisible by its digit sum 24.
- 2
55176 is composite. Its prime factorisation is
- 3
The divisors add up to 159600; without 55176 itself that is 104424, so 55176 is abundant (104424 is more than 55176). Euler's totient φ(55176) = 15840 numbers up to 55176 share no factor with it.
- 4
The digits of 55176 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55176 = 2^{3} \times 3 \times 11^{2} \times 19 \]55176 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 159600 |
| Euler totient φ(n) | 15840 |
| Square | 3044390976 |
| Cube | 167977316491776 |
| Square root | 234.895722 (= 22√114) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5176 × |
55176 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and seventy-six |
| Binary (base 2) | 1101011110001000 |
| Octal (base 8) | 153610 |
| Hexadecimal (base 16) | D788 |
| Base 3 | 2210200120 |
| As time | 55176 seconds = 15 h 19 min 36 s |
Is 55176 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55176 ÷ 2 = 27588) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55176 ÷ 3 = 18392) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55176 ÷ 4 = 13794) | 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 (55176 ÷ 6 = 9196) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (55176 ÷ 8 = 6897) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (55176 ÷ 11 = 5016) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55176 ÷ 12 = 4598) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55176 a prime number?
No. 55176 = × 3 × × 19, so it is divisible by 2.
What are the factors of 55176?
1, 2, 3, 4, 6, 8, 11, 12, 19, 22, 24, 33, 38, 44, 57, 66, 76, 88, 114, 121, 132, 152, 209, 228, 242, 264, 363, 418, 456, 484, 627, 726, 836, 968, 1254, 1452, 1672, 2299, 2508, 2904, 4598, 5016, 6897, 9196, 13794, 18392, 27588, 55176.
What is 55176 in binary?
1101011110001000 (hexadecimal D788, octal 153610).
What is the square root of 55176?
About 234.8957, exactly 22√114.
Is 55176 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 55176?
55176 is a Harshad number: divisible by its digit sum 24.