The number 43137
43137 is a composite number with 6 divisors. Its prime factorisation is × 4793. Divisors (6): 1, 3, 9, 4793, 14379, 43137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43137 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43137 is composite. Its prime factorisation is
- 3
The divisors add up to 62322; without 43137 itself that is 19185, so 43137 is deficient (19185 is less than 43137). Euler's totient φ(43137) = 28752 numbers up to 43137 share no factor with it.
- 4
The digits of 43137 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43137 = 3^{2} \times 4793 \]43137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 62322 |
| Euler totient φ(n) | 28752 |
| Square | 1860800769 |
| Cube | 80269362772353 |
| Square root | 207.694487 (= 3√4793) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.3137 × |
43137 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and thirty-seven |
| Binary (base 2) | 1010100010000001 |
| Octal (base 8) | 124201 |
| Hexadecimal (base 16) | A881 |
| Base 3 | 2012011200 |
| As time | 43137 seconds = 11 h 58 min 57 s |
Is 43137 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 (43137 ÷ 3 = 14379) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43137 ÷ 9 = 4793) | 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 6) | 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 43137 a prime number?
No. 43137 = × 4793, so it is divisible by 3.
What are the factors of 43137?
1, 3, 9, 4793, 14379, 43137.
What is 43137 in binary?
1010100010000001 (hexadecimal A881, octal 124201).
What is the square root of 43137?
About 207.6945, exactly 3√4793.
Is 43137 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43137?
It is a composite number with 6 divisors.