The number 7413
7413 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 353. Divisors (8): 1, 3, 7, 21, 353, 1059, 2471, 7413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7413 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7413 is composite. Its prime factorisation is
- 3
The divisors add up to 11328; without 7413 itself that is 3915, so 7413 is deficient (3915 is less than 7413). Euler's totient φ(7413) = 4224 numbers up to 7413 share no factor with it.
- 4
The digits of 7413 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
\[ 7413 = 3 \times 7 \times 353 \]
7413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 11328 |
| Euler totient φ(n) | 4224 |
| Square | 54952569 |
| Cube | 407363393997 |
| Square root | 86.098780 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.413 × |
7413 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and thirteen |
| Binary (base 2) | 1110011110101 |
| Octal (base 8) | 16365 |
| Hexadecimal (base 16) | 1CF5 |
| Base 3 | 101011120 |
| As time | 7413 seconds = 2 h 3 min 33 s |
Is 7413 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7413 ÷ 3 = 2471) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (7413 ÷ 7 = 1059) | 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 5) | 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 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7413 a prime number?
No. 7413 = 3 × 7 × 353, so it is divisible by 3.
What are the factors of 7413?
1, 3, 7, 21, 353, 1059, 2471, 7413.
What is 7413 in binary?
1110011110101 (hexadecimal 1CF5, octal 16365).
What is the square root of 7413?
About 86.0988.
Is 7413 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7413?
It is a composite number with 8 divisors.