The number 52137
52137 is a composite number with 8 divisors. Its prime factorisation is × 1931. Divisors (8): 1, 3, 9, 27, 1931, 5793, 17379, 52137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52137 is composite. Its prime factorisation is
- 3
The divisors add up to 77280; without 52137 itself that is 25143, so 52137 is deficient (25143 is less than 52137). Euler's totient φ(52137) = 34740 numbers up to 52137 share no factor with it.
- 4
The digits of 52137 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 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52137 = 3^{3} \times 1931 \]52137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 77280 |
| Euler totient φ(n) | 34740 |
| Square | 2718266769 |
| Cube | 141722274535353 |
| Square root | 228.335280 (= 3√5793) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.2137 × |
52137 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand one hundred and thirty-seven |
| Binary (base 2) | 1100101110101001 |
| Octal (base 8) | 145651 |
| Hexadecimal (base 16) | CBA9 |
| Base 3 | 2122112000 |
| As time | 52137 seconds = 14 h 28 min 57 s |
Is 52137 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 (52137 ÷ 3 = 17379) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (52137 ÷ 9 = 5793) | 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 8) | 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 52137 a prime number?
No. 52137 = × 1931, so it is divisible by 3.
What are the factors of 52137?
1, 3, 9, 27, 1931, 5793, 17379, 52137.
What is 52137 in binary?
1100101110101001 (hexadecimal CBA9, octal 145651).
What is the square root of 52137?
About 228.3353, exactly 3√5793.
Is 52137 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52137?
It is a composite number with 8 divisors.