The number 7404
7404 is a composite number with 12 divisors. Its prime factorisation is × 3 × 617. Divisors (12): 1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7404 is composite. Its prime factorisation is
- 3
The divisors add up to 17304; without 7404 itself that is 9900, so 7404 is abundant (9900 is more than 7404). Euler's totient φ(7404) = 2464 numbers up to 7404 share no factor with it.
- 4
The digits of 7404 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7404 = 2^{2} \times 3 \times 617 \]7404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17304 |
| Euler totient φ(n) | 2464 |
| Square | 54819216 |
| Cube | 405881475264 |
| Square root | 86.046499 (= 2√1851) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.404 × |
7404 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and four |
| Binary (base 2) | 1110011101100 |
| Octal (base 8) | 16354 |
| Hexadecimal (base 16) | 1CEC |
| Base 3 | 101011020 |
| As time | 7404 seconds = 2 h 3 min 24 s |
Is 7404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7404 ÷ 2 = 3702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7404 ÷ 3 = 2468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7404 ÷ 4 = 1851) | 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 (7404 ÷ 6 = 1234) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 (7404 ÷ 12 = 617) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7404 a prime number?
No. 7404 = × 3 × 617, so it is divisible by 2.
What are the factors of 7404?
1, 2, 3, 4, 6, 12, 617, 1234, 1851, 2468, 3702, 7404.
What is 7404 in binary?
1110011101100 (hexadecimal 1CEC, octal 16354).
What is the square root of 7404?
About 86.0465, exactly 2√1851.
Is 7404 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7404?
It is a composite number with 12 divisors.