The number 40164
40164 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3347. Divisors (12): 1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082, 40164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40164 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 40164 itself that is 53580, so 40164 is abundant (53580 is more than 40164). Euler's totient φ(40164) = 13384 numbers up to 40164 share no factor with it.
- 4
The digits of 40164 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40164 = 2^{2} \times 3 \times 3347 \]40164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 13384 |
| Square | 1613146896 |
| Cube | 64790431930944 |
| Square root | 200.409581 (= 2√10041) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.0164 × |
40164 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and sixty-four |
| Binary (base 2) | 1001110011100100 |
| Octal (base 8) | 116344 |
| Hexadecimal (base 16) | 9CE4 |
| Base 3 | 2001002120 |
| As time | 40164 seconds = 11 h 9 min 24 s |
Is 40164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40164 ÷ 2 = 20082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40164 ÷ 3 = 13388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40164 ÷ 4 = 10041) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40164 ÷ 6 = 6694) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40164 ÷ 12 = 3347) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40164 a prime number?
No. 40164 = × 3 × 3347, so it is divisible by 2.
What are the factors of 40164?
1, 2, 3, 4, 6, 12, 3347, 6694, 10041, 13388, 20082, 40164.
What is 40164 in binary?
1001110011100100 (hexadecimal 9CE4, octal 116344).
What is the square root of 40164?
About 200.4096, exactly 2√10041.
Is 40164 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40164?
It is a composite number with 12 divisors.