The number 40004
40004 is a palindrome: it reads 40004 backwards too. Its prime factorisation is × 73 × 137. Divisors (12): 1, 2, 4, 73, 137, 146, 274, 292, 548, 10001, 20002, 40004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40004: a palindrome: it reads 40004 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
40004 is composite. Its prime factorisation is
- 3
The divisors add up to 71484; without 40004 itself that is 31480, so 40004 is deficient (31480 is less than 40004). Euler's totient φ(40004) = 19584 numbers up to 40004 share no factor with it.
- 4
The digits of 40004 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40004 = 2^{2} \times 73 \times 137 \]40004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 71484 |
| Euler totient φ(n) | 19584 |
| Square | 1600320016 |
| Cube | 64019201920064 |
| Square root | 200.010000 (= 2√10001) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0004 × |
40004 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and four |
| Binary (base 2) | 1001110001000100 |
| Octal (base 8) | 116104 |
| Hexadecimal (base 16) | 9C44 |
| Base 3 | 2000212122 |
| As time | 40004 seconds = 11 h 6 min 44 s |
Is 40004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40004 ÷ 2 = 20002) | 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 (40004 ÷ 4 = 10001) | 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 6) | 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 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 8) | 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 40004 a prime number?
No. 40004 = × 73 × 137, so it is divisible by 2.
What are the factors of 40004?
1, 2, 4, 73, 137, 146, 274, 292, 548, 10001, 20002, 40004.
What is 40004 in binary?
1001110001000100 (hexadecimal 9C44, octal 116104).
What is the square root of 40004?
About 200.0100, exactly 2√10001.
Is 40004 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 40004?
40004 is a palindrome: it reads 40004 backwards too; a happy number: repeatedly adding the squares of its digits reaches 1.