The number 55300
55300 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 79. Divisors (36): 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 79, 100, 140 … 55300.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55300 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55300 is composite. Its prime factorisation is
- 3
The divisors add up to 138880; without 55300 itself that is 83580, so 55300 is abundant (83580 is more than 55300). Euler's totient φ(55300) = 18720 numbers up to 55300 share no factor with it.
- 4
The digits of 55300 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55300 = 2^{2} \times 5^{2} \times 7 \times 79 \]55300 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 138880 |
| Euler totient φ(n) | 18720 |
| Square | 3058090000 |
| Cube | 169112377000000 |
| Square root | 235.159520 (= 10√553) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.53 × |
55300 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred |
| Binary (base 2) | 1101100000000100 |
| Octal (base 8) | 154004 |
| Hexadecimal (base 16) | D804 |
| Base 3 | 2210212011 |
| As time | 55300 seconds = 15 h 21 min 40 s |
Is 55300 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55300 ÷ 2 = 27650) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55300 ÷ 4 = 13825) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55300 ÷ 5 = 11060) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55300 ÷ 7 = 7900) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55300 ÷ 10 = 5530) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55300 a prime number?
No. 55300 = × × 7 × 79, so it is divisible by 2.
What are the factors of 55300?
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 79, 100, 140, 158, 175, 316, 350, 395, 553, 700, 790, 1106, 1580, 1975, 2212, 2765, 3950, 5530, 7900, 11060, 13825, 27650, 55300.
What is 55300 in binary?
1101100000000100 (hexadecimal D804, octal 154004).
What is the square root of 55300?
About 235.1595, exactly 10√553.
Is 55300 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 55300?
It is a composite number with 36 divisors.