The number 55250
55250 is a composite number with 32 divisors. Its prime factorisation is 2 × × 13 × 17. Divisors (32): 1, 2, 5, 10, 13, 17, 25, 26, 34, 50, 65, 85, 125, 130, 170, 221 … 55250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55250: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.
- 2
55250 is composite. Its prime factorisation is
- 3
The divisors add up to 117936; without 55250 itself that is 62686, so 55250 is abundant (62686 is more than 55250). Euler's totient φ(55250) = 19200 numbers up to 55250 share no factor with it.
- 4
The digits of 55250 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55250 = 2 \times 5^{3} \times 13 \times 17 \]55250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 117936 |
| Euler totient φ(n) | 19200 |
| Square | 3052562500 |
| Cube | 168654078125000 |
| Square root | 235.053185 (= 5√2210) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.525 × |
55250 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and fifty |
| Binary (base 2) | 1101011111010010 |
| Octal (base 8) | 153722 |
| Hexadecimal (base 16) | D7D2 |
| Base 3 | 2210210022 |
| As time | 55250 seconds = 15 h 20 min 50 s |
Is 55250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55250 ÷ 2 = 27625) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55250 ÷ 5 = 11050) | 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 6) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55250 ÷ 10 = 5525) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55250 a prime number?
No. 55250 = 2 × × 13 × 17, so it is divisible by 2.
What are the factors of 55250?
1, 2, 5, 10, 13, 17, 25, 26, 34, 50, 65, 85, 125, 130, 170, 221, 250, 325, 425, 442, 650, 850, 1105, 1625, 2125, 2210, 3250, 4250, 5525, 11050, 27625, 55250.
What is 55250 in binary?
1101011111010010 (hexadecimal D7D2, octal 153722).
What is the square root of 55250?
About 235.0532, exactly 5√2210.
Is 55250 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55250?
55250 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 17.