The number 53700
53700 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 179. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100 … 53700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53700: a Harshad number: divisible by its digit sum 15.
- 2
53700 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 53700 itself that is 102540, so 53700 is abundant (102540 is more than 53700). Euler's totient φ(53700) = 14240 numbers up to 53700 share no factor with it.
- 4
The digits of 53700 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53700 = 2^{2} \times 3 \times 5^{2} \times 179 \]53700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 14240 |
| Square | 2883690000 |
| Cube | 154854153000000 |
| Square root | 231.732605 (= 10√537) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.37 × |
53700 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred |
| Binary (base 2) | 1101000111000100 |
| Octal (base 8) | 150704 |
| Hexadecimal (base 16) | D1C4 |
| Base 3 | 2201122220 |
| As time | 53700 seconds = 14 h 55 min 0 s |
Is 53700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53700 ÷ 2 = 26850) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53700 ÷ 3 = 17900) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53700 ÷ 4 = 13425) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53700 ÷ 5 = 10740) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (53700 ÷ 6 = 8950) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53700 ÷ 10 = 5370) | 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 | Yes (53700 ÷ 12 = 4475) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53700 a prime number?
No. 53700 = × 3 × × 179, so it is divisible by 2.
What are the factors of 53700?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 179, 300, 358, 537, 716, 895, 1074, 1790, 2148, 2685, 3580, 4475, 5370, 8950, 10740, 13425, 17900, 26850, 53700.
What is 53700 in binary?
1101000111000100 (hexadecimal D1C4, octal 150704).
What is the square root of 53700?
About 231.7326, exactly 10√537.
Is 53700 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 53700?
53700 is a Harshad number: divisible by its digit sum 15.