The number 7316
7316 is a composite number with 12 divisors. Its prime factorisation is × 31 × 59. Divisors (12): 1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7316 is composite. Its prime factorisation is
- 3
The divisors add up to 13440; without 7316 itself that is 6124, so 7316 is deficient (6124 is less than 7316). Euler's totient φ(7316) = 3480 numbers up to 7316 share no factor with it.
- 4
The digits of 7316 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
\[ 7316 = 2^{2} \times 31 \times 59 \]7316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 13440 |
| Euler totient φ(n) | 3480 |
| Square | 53523856 |
| Cube | 391580530496 |
| Square root | 85.533619 (= 2√1829) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 132 |
| Scientific notation | 7.316 × |
7316 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and sixteen |
| Binary (base 2) | 1110010010100 |
| Octal (base 8) | 16224 |
| Hexadecimal (base 16) | 1C94 |
| Base 3 | 101000222 |
| As time | 7316 seconds = 2 h 1 min 56 s |
Is 7316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7316 ÷ 2 = 3658) | 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 | Yes (7316 ÷ 4 = 1829) | 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 | No (remainder 1) | 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 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7316 a prime number?
No. 7316 = × 31 × 59, so it is divisible by 2.
What are the factors of 7316?
1, 2, 4, 31, 59, 62, 118, 124, 236, 1829, 3658, 7316.
What is 7316 in binary?
1110010010100 (hexadecimal 1C94, octal 16224).
What is the square root of 7316?
About 85.5336, exactly 2√1829.
Is 7316 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7316?
It is a composite number with 12 divisors.