The number 40184
40184 is a composite number with 8 divisors. Its prime factorisation is × 5023. Divisors (8): 1, 2, 4, 8, 5023, 10046, 20092, 40184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40184: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40184 is composite. Its prime factorisation is
- 3
The divisors add up to 75360; without 40184 itself that is 35176, so 40184 is deficient (35176 is less than 40184). Euler's totient φ(40184) = 20088 numbers up to 40184 share no factor with it.
- 4
The digits of 40184 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40184 = 2^{3} \times 5023 \]40184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75360 |
| Euler totient φ(n) | 20088 |
| Square | 1614753856 |
| Cube | 64887268949504 |
| Square root | 200.459472 (= 2√10046) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0184 × |
40184 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and eighty-four |
| Binary (base 2) | 1001110011111000 |
| Octal (base 8) | 116370 |
| Hexadecimal (base 16) | 9CF8 |
| Base 3 | 2001010022 |
| As time | 40184 seconds = 11 h 9 min 44 s |
Is 40184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40184 ÷ 2 = 20092) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40184 ÷ 4 = 10046) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (40184 ÷ 8 = 5023) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40184 a prime number?
No. 40184 = × 5023, so it is divisible by 2.
What are the factors of 40184?
1, 2, 4, 8, 5023, 10046, 20092, 40184.
What is 40184 in binary?
1001110011111000 (hexadecimal 9CF8, octal 116370).
What is the square root of 40184?
About 200.4595, exactly 2√10046.
Is 40184 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 40184?
40184 is a happy number: repeatedly adding the squares of its digits reaches 1.