The number 55083
55083 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 43 × 61. Divisors (16): 1, 3, 7, 21, 43, 61, 129, 183, 301, 427, 903, 1281, 2623, 7869, 18361, 55083.
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How to work it out
- 1
What is special about 55083: a Harshad number: divisible by its digit sum 21.
- 2
55083 is composite. Its prime factorisation is
- 3
The divisors add up to 87296; without 55083 itself that is 32213, so 55083 is deficient (32213 is less than 55083). Euler's totient φ(55083) = 30240 numbers up to 55083 share no factor with it.
- 4
The digits of 55083 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55083 = 3 \times 7 \times 43 \times 61 \]
55083 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87296 |
| Euler totient φ(n) | 30240 |
| Square | 3034136889 |
| Cube | 167129362256787 |
| Square root | 234.697678 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5083 × |
55083 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and eighty-three |
| Binary (base 2) | 1101011100101011 |
| Octal (base 8) | 153453 |
| Hexadecimal (base 16) | D72B |
| Base 3 | 2210120010 |
| As time | 55083 seconds = 15 h 18 min 3 s |
Is 55083 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55083 ÷ 3 = 18361) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55083 ÷ 7 = 7869) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55083 a prime number?
No. 55083 = 3 × 7 × 43 × 61, so it is divisible by 3.
What are the factors of 55083?
1, 3, 7, 21, 43, 61, 129, 183, 301, 427, 903, 1281, 2623, 7869, 18361, 55083.
What is 55083 in binary?
1101011100101011 (hexadecimal D72B, octal 153453).
What is the square root of 55083?
About 234.6977.
Is 55083 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55083?
55083 is a Harshad number: divisible by its digit sum 21.