The number 53730
53730 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 199. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 199 … 53730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53730: a Harshad number: divisible by its digit sum 18.
- 2
53730 is composite. Its prime factorisation is
- 3
The divisors add up to 144000; without 53730 itself that is 90270, so 53730 is abundant (90270 is more than 53730). Euler's totient φ(53730) = 14256 numbers up to 53730 share no factor with it.
- 4
The digits of 53730 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 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53730 = 2 \times 3^{3} \times 5 \times 199 \]53730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 144000 |
| Euler totient φ(n) | 14256 |
| Square | 2886912900 |
| Cube | 155113830117000 |
| Square root | 231.797325 (= 3√5970) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.373 × |
53730 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and thirty |
| Binary (base 2) | 1101000111100010 |
| Octal (base 8) | 150742 |
| Hexadecimal (base 16) | D1E2 |
| Base 3 | 2201201000 |
| As time | 53730 seconds = 14 h 55 min 30 s |
Is 53730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53730 ÷ 2 = 26865) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53730 ÷ 3 = 17910) | 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 (53730 ÷ 5 = 10746) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53730 ÷ 6 = 8955) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (53730 ÷ 9 = 5970) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53730 ÷ 10 = 5373) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53730 a prime number?
No. 53730 = 2 × × 5 × 199, so it is divisible by 2.
What are the factors of 53730?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 199, 270, 398, 597, 995, 1194, 1791, 1990, 2985, 3582, 5373, 5970, 8955, 10746, 17910, 26865, 53730.
What is 53730 in binary?
1101000111100010 (hexadecimal D1E2, octal 150742).
What is the square root of 53730?
About 231.7973, exactly 3√5970.
Is 53730 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 53730?
53730 is a Harshad number: divisible by its digit sum 18.