The number 55350
55350 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 41. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 41, 45, 50, 54 … 55350.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55350: a Harshad number: divisible by its digit sum 18.
- 2
55350 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 55350 itself that is 100890, so 55350 is abundant (100890 is more than 55350). Euler's totient φ(55350) = 14400 numbers up to 55350 share no factor with it.
- 4
The digits of 55350 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55350 = 2 \times 3^{3} \times 5^{2} \times 41 \]55350 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 14400 |
| Square | 3063622500 |
| Cube | 169571505375000 |
| Square root | 235.265807 (= 15√246) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.535 × |
55350 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand three hundred and fifty |
| Binary (base 2) | 1101100000110110 |
| Octal (base 8) | 154066 |
| Hexadecimal (base 16) | D836 |
| Base 3 | 2210221000 |
| As time | 55350 seconds = 15 h 22 min 30 s |
Is 55350 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55350 ÷ 2 = 27675) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55350 ÷ 3 = 18450) | 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 (55350 ÷ 5 = 11070) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55350 ÷ 6 = 9225) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55350 ÷ 9 = 6150) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55350 ÷ 10 = 5535) | 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 55350 a prime number?
No. 55350 = 2 × × × 41, so it is divisible by 2.
What are the factors of 55350?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 41, 45, 50, 54, 75, 82, 90, 123, 135, 150, 205, 225, 246, 270, 369, 410, 450, 615, 675, 738, 1025, 1107, 1230, 1350, 1845, 2050, 2214, 3075, 3690, 5535, 6150, 9225, 11070, 18450, 27675, 55350.
What is 55350 in binary?
1101100000110110 (hexadecimal D836, octal 154066).
What is the square root of 55350?
About 235.2658, exactly 15√246.
Is 55350 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55350?
55350 is a Harshad number: divisible by its digit sum 18.