The number 7408
7408 is a composite number with 10 divisors. Its prime factorisation is × 463. Divisors (10): 1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7408: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7408 is composite. Its prime factorisation is
- 3
The divisors add up to 14384; without 7408 itself that is 6976, so 7408 is deficient (6976 is less than 7408). Euler's totient φ(7408) = 3696 numbers up to 7408 share no factor with it.
- 4
The digits of 7408 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7408 = 2^{4} \times 463 \]7408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 14384 |
| Euler totient φ(n) | 3696 |
| Square | 54878464 |
| Cube | 406539661312 |
| Square root | 86.069739 (= 4√463) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.408 × |
7408 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and eight |
| Binary (base 2) | 1110011110000 |
| Octal (base 8) | 16360 |
| Hexadecimal (base 16) | 1CF0 |
| Base 3 | 101011101 |
| As time | 7408 seconds = 2 h 3 min 28 s |
Is 7408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7408 ÷ 2 = 3704) | 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 (7408 ÷ 4 = 1852) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 2) | 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 (7408 ÷ 8 = 926) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 7408 a prime number?
No. 7408 = × 463, so it is divisible by 2.
What are the factors of 7408?
1, 2, 4, 8, 16, 463, 926, 1852, 3704, 7408.
What is 7408 in binary?
1110011110000 (hexadecimal 1CF0, octal 16360).
What is the square root of 7408?
About 86.0697, exactly 4√463.
Is 7408 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7408?
7408 is a happy number: repeatedly adding the squares of its digits reaches 1.