The number 40161
40161 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1217. Divisors (8): 1, 3, 11, 33, 1217, 3651, 13387, 40161.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40161 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40161 is composite. Its prime factorisation is
- 3
The divisors add up to 58464; without 40161 itself that is 18303, so 40161 is deficient (18303 is less than 40161). Euler's totient φ(40161) = 24320 numbers up to 40161 share no factor with it.
- 4
The digits of 40161 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40161 = 3 \times 11 \times 1217 \]
40161 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58464 |
| Euler totient φ(n) | 24320 |
| Square | 1612905921 |
| Cube | 64775914693281 |
| Square root | 200.402096 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0161 × |
40161 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixty-one |
| Binary (base 2) | 1001110011100001 |
| Octal (base 8) | 116341 |
| Hexadecimal (base 16) | 9CE1 |
| Base 3 | 2001002110 |
| As time | 40161 seconds = 11 h 9 min 21 s |
Is 40161 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 (40161 ÷ 3 = 13387) | 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 1) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40161 ÷ 11 = 3651) | 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 40161 a prime number?
No. 40161 = 3 × 11 × 1217, so it is divisible by 3.
What are the factors of 40161?
1, 3, 11, 33, 1217, 3651, 13387, 40161.
What is 40161 in binary?
1001110011100001 (hexadecimal 9CE1, octal 116341).
What is the square root of 40161?
About 200.4021.
Is 40161 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40161?
It is a composite number with 8 divisors.