The number 2404
2404 is a composite number with 6 divisors. Its prime factorisation is × 601. Divisors (6): 1, 2, 4, 601, 1202, 2404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2404 is composite. Its prime factorisation is
- 3
The divisors add up to 4214; without 2404 itself that is 1810, so 2404 is deficient (1810 is less than 2404). Euler's totient φ(2404) = 1200 numbers up to 2404 share no factor with it.
- 4
The digits of 2404 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 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2404 = 2^{2} \times 601 \]2404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4214 |
| Euler totient φ(n) | 1200 |
| Square | 5779216 |
| Cube | 13893235264 |
| Square root | 49.030603 (= 2√601) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 58 |
| Scientific notation | 2.404 × |
2404 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and four |
| Roman numerals | MMCDIV |
| Binary (base 2) | 100101100100 |
| Octal (base 8) | 4544 |
| Hexadecimal (base 16) | 964 |
| Base 3 | 10022001 |
| As time | 2404 seconds = 40 min 4 s |
Is 2404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2404 ÷ 2 = 1202) | 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 (2404 ÷ 4 = 601) | 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 3) | 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 6) | 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 2404 a prime number?
No. 2404 = × 601, so it is divisible by 2.
What are the factors of 2404?
1, 2, 4, 601, 1202, 2404.
What is 2404 in binary?
100101100100 (hexadecimal 964, octal 4544).
What is the square root of 2404?
About 49.0306, exactly 2√601.
What is 2404 in Roman numerals?
MMCDIV.
Is 2404 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2404?
It is a composite number with 6 divisors.