The number 53740
53740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2687. Divisors (12): 1, 2, 4, 5, 10, 20, 2687, 5374, 10748, 13435, 26870, 53740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53740 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 53740 itself that is 59156, so 53740 is abundant (59156 is more than 53740). Euler's totient φ(53740) = 21488 numbers up to 53740 share no factor with it.
- 4
The digits of 53740 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53740 = 2^{2} \times 5 \times 2687 \]53740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 21488 |
| Square | 2887987600 |
| Cube | 155200453624000 |
| Square root | 231.818895 (= 2√13435) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.374 × |
53740 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and forty |
| Binary (base 2) | 1101000111101100 |
| Octal (base 8) | 150754 |
| Hexadecimal (base 16) | D1EC |
| Base 3 | 2201201101 |
| As time | 53740 seconds = 14 h 55 min 40 s |
Is 53740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53740 ÷ 2 = 26870) | 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 (53740 ÷ 4 = 13435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (53740 ÷ 5 = 10748) | 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 | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (53740 ÷ 10 = 5374) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 53740 a prime number?
No. 53740 = × 5 × 2687, so it is divisible by 2.
What are the factors of 53740?
1, 2, 4, 5, 10, 20, 2687, 5374, 10748, 13435, 26870, 53740.
What is 53740 in binary?
1101000111101100 (hexadecimal D1EC, octal 150754).
What is the square root of 53740?
About 231.8189, exactly 2√13435.
Is 53740 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 53740?
It is a composite number with 12 divisors.