The number 43155
43155 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 137. Divisors (24): 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 137, 315, 411, 685, 959 … 43155.
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How to work it out
- 1
43155 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43155 is composite. Its prime factorisation is
- 3
The divisors add up to 86112; without 43155 itself that is 42957, so 43155 is deficient (42957 is less than 43155). Euler's totient φ(43155) = 19584 numbers up to 43155 share no factor with it.
- 4
The digits of 43155 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 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43155 = 3^{2} \times 5 \times 7 \times 137 \]43155 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 86112 |
| Euler totient φ(n) | 19584 |
| Square | 1862354025 |
| Cube | 80369887948875 |
| Square root | 207.737816 (= 3√4795) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.3155 × |
43155 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and fifty-five |
| Binary (base 2) | 1010100010010011 |
| Octal (base 8) | 124223 |
| Hexadecimal (base 16) | A893 |
| Base 3 | 2012012100 |
| As time | 43155 seconds = 11 h 59 min 15 s |
Is 43155 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 (43155 ÷ 3 = 14385) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43155 ÷ 5 = 8631) | 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 | Yes (43155 ÷ 7 = 6165) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43155 ÷ 9 = 4795) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43155 a prime number?
No. 43155 = × 5 × 7 × 137, so it is divisible by 3.
What are the factors of 43155?
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 137, 315, 411, 685, 959, 1233, 2055, 2877, 4795, 6165, 8631, 14385, 43155.
What is 43155 in binary?
1010100010010011 (hexadecimal A893, octal 124223).
What is the square root of 43155?
About 207.7378, exactly 3√4795.
Is 43155 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43155?
It is a composite number with 24 divisors.