The number 40104
40104 is a palindrome: it reads 40104 backwards too. Its prime factorisation is × × 557. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 557, 1114, 1671, 2228 … 40104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40104: a palindrome: it reads 40104 backwards too; a Harshad number: divisible by its digit sum 9.
- 2
40104 is composite. Its prime factorisation is
- 3
The divisors add up to 108810; without 40104 itself that is 68706, so 40104 is abundant (68706 is more than 40104). Euler's totient φ(40104) = 13344 numbers up to 40104 share no factor with it.
- 4
The digits of 40104 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40104 = 2^{3} \times 3^{2} \times 557 \]40104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 108810 |
| Euler totient φ(n) | 13344 |
| Square | 1608330816 |
| Cube | 64500499044864 |
| Square root | 200.259831 (= 6√1114) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0104 × |
40104 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and four |
| Binary (base 2) | 1001110010101000 |
| Octal (base 8) | 116250 |
| Hexadecimal (base 16) | 9CA8 |
| Base 3 | 2001000100 |
| As time | 40104 seconds = 11 h 8 min 24 s |
Is 40104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40104 ÷ 2 = 20052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40104 ÷ 3 = 13368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40104 ÷ 4 = 10026) | 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 (40104 ÷ 6 = 6684) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (40104 ÷ 8 = 5013) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40104 ÷ 9 = 4456) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40104 ÷ 12 = 3342) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40104 a prime number?
No. 40104 = × × 557, so it is divisible by 2.
What are the factors of 40104?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 557, 1114, 1671, 2228, 3342, 4456, 5013, 6684, 10026, 13368, 20052, 40104.
What is 40104 in binary?
1001110010101000 (hexadecimal 9CA8, octal 116250).
What is the square root of 40104?
About 200.2598, exactly 6√1114.
Is 40104 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40104?
40104 is a palindrome: it reads 40104 backwards too; a Harshad number: divisible by its digit sum 9.