The number 20404
20404 is a composite number with 6 divisors. Its prime factorisation is × 5101. Divisors (6): 1, 2, 4, 5101, 10202, 20404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20404 is composite. Its prime factorisation is
- 3
The divisors add up to 35714; without 20404 itself that is 15310, so 20404 is deficient (15310 is less than 20404). Euler's totient φ(20404) = 10200 numbers up to 20404 share no factor with it.
- 4
The digits of 20404 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 87 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20404 = 2^{2} \times 5101 \]20404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 35714 |
| Euler totient φ(n) | 10200 |
| Square | 416323216 |
| Cube | 8494658899264 |
| Square root | 142.842571 (= 2√5101) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 87 |
| Scientific notation | 2.0404 × |
20404 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and four |
| Binary (base 2) | 100111110110100 |
| Octal (base 8) | 47664 |
| Hexadecimal (base 16) | 4FB4 |
| Base 3 | 1000222201 |
| As time | 20404 seconds = 5 h 40 min 4 s |
Is 20404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20404 ÷ 2 = 10202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20404 ÷ 4 = 5101) | 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 4) | 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 1) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20404 a prime number?
No. 20404 = × 5101, so it is divisible by 2.
What are the factors of 20404?
1, 2, 4, 5101, 10202, 20404.
What is 20404 in binary?
100111110110100 (hexadecimal 4FB4, octal 47664).
What is the square root of 20404?
About 142.8426, exactly 2√5101.
Is 20404 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 20404?
It is a composite number with 6 divisors.