The number 53937
53937 is a composite number with 12 divisors. Its prime factorisation is × 13 × 461. Divisors (12): 1, 3, 9, 13, 39, 117, 461, 1383, 4149, 5993, 17979, 53937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53937 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53937 is composite. Its prime factorisation is
- 3
The divisors add up to 84084; without 53937 itself that is 30147, so 53937 is deficient (30147 is less than 53937). Euler's totient φ(53937) = 33120 numbers up to 53937 share no factor with it.
- 4
The digits of 53937 add up to 27, 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
\[ 53937 = 3^{2} \times 13 \times 461 \]53937 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84084 |
| Euler totient φ(n) | 33120 |
| Square | 2909199969 |
| Cube | 156913518727953 |
| Square root | 232.243407 (= 3√5993) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3937 × |
53937 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand nine hundred and thirty-seven |
| Binary (base 2) | 1101001010110001 |
| Octal (base 8) | 151261 |
| Hexadecimal (base 16) | D2B1 |
| Base 3 | 2201222200 |
| As time | 53937 seconds = 14 h 58 min 57 s |
Is 53937 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53937 ÷ 3 = 17979) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53937 ÷ 9 = 5993) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53937 a prime number?
No. 53937 = × 13 × 461, so it is divisible by 3.
What are the factors of 53937?
1, 3, 9, 13, 39, 117, 461, 1383, 4149, 5993, 17979, 53937.
What is 53937 in binary?
1101001010110001 (hexadecimal D2B1, octal 151261).
What is the square root of 53937?
About 232.2434, exactly 3√5993.
Is 53937 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53937?
It is a composite number with 12 divisors.