The number 7406
7406 is a composite number with 12 divisors. Its prime factorisation is 2 × 7 × . Divisors (12): 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7406 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7406 is composite. Its prime factorisation is
- 3
The divisors add up to 13272; without 7406 itself that is 5866, so 7406 is deficient (5866 is less than 7406). Euler's totient φ(7406) = 3036 numbers up to 7406 share no factor with it.
- 4
The digits of 7406 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7406 = 2 \times 7 \times 23^{2} \]7406 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13272 |
| Euler totient φ(n) | 3036 |
| Square | 54848836 |
| Cube | 406210479416 |
| Square root | 86.058120 (= 23√14) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.406 × |
7406 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and six |
| Binary (base 2) | 1110011101110 |
| Octal (base 8) | 16356 |
| Hexadecimal (base 16) | 1CEE |
| Base 3 | 101011022 |
| As time | 7406 seconds = 2 h 3 min 26 s |
Is 7406 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7406 ÷ 2 = 3703) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7406 ÷ 7 = 1058) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7406 a prime number?
No. 7406 = 2 × 7 × , so it is divisible by 2.
What are the factors of 7406?
1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406.
What is 7406 in binary?
1110011101110 (hexadecimal 1CEE, octal 16356).
What is the square root of 7406?
About 86.0581, exactly 23√14.
Is 7406 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7406?
It is a composite number with 12 divisors.