The number 40404
40404 is a palindrome: it reads 40404 backwards too. Its prime factorisation is × 3 × 7 × 13 × 37. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 37, 39, 42, 52 … 40404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40404: a palindrome: it reads 40404 backwards too; a Harshad number: divisible by its digit sum 12.
- 2
40404 is composite. Its prime factorisation is
- 3
The divisors add up to 119168; without 40404 itself that is 78764, so 40404 is abundant (78764 is more than 40404). Euler's totient φ(40404) = 10368 numbers up to 40404 share no factor with it.
- 4
The digits of 40404 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40404 = 2^{2} \times 3 \times 7 \times 13 \times 37 \]40404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 119168 |
| Euler totient φ(n) | 10368 |
| Square | 1632483216 |
| Cube | 65958851859264 |
| Square root | 201.007463 (= 2√10101) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0404 × |
40404 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and four |
| Binary (base 2) | 1001110111010100 |
| Octal (base 8) | 116724 |
| Hexadecimal (base 16) | 9DD4 |
| Base 3 | 2001102110 |
| As time | 40404 seconds = 11 h 13 min 24 s |
Is 40404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40404 ÷ 2 = 20202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40404 ÷ 3 = 13468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40404 ÷ 4 = 10101) | 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 (40404 ÷ 6 = 6734) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40404 ÷ 7 = 5772) | 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 3) | 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 | Yes (40404 ÷ 12 = 3367) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40404 a prime number?
No. 40404 = × 3 × 7 × 13 × 37, so it is divisible by 2.
What are the factors of 40404?
1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 37, 39, 42, 52, 74, 78, 84, 91, 111, 148, 156, 182, 222, 259, 273, 364, 444, 481, 518, 546, 777, 962, 1036, 1092, 1443, 1554, 1924, 2886, 3108, 3367, 5772, 6734, 10101, 13468, 20202, 40404.
What is 40404 in binary?
1001110111010100 (hexadecimal 9DD4, octal 116724).
What is the square root of 40404?
About 201.0075, exactly 2√10101.
Is 40404 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 40404?
40404 is a palindrome: it reads 40404 backwards too; a Harshad number: divisible by its digit sum 12.