The number 7313
7313 is a composite number with 4 divisors. Its prime factorisation is 71 × 103. Divisors (4): 1, 71, 103, 7313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7313: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 103, the product of two primes.
- 2
7313 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 7313 itself that is 175, so 7313 is deficient (175 is less than 7313). Euler's totient φ(7313) = 7140 numbers up to 7313 share no factor with it.
- 4
The digits of 7313 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7313 = 71 \times 103 \]
7313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 7140 |
| Square | 53479969 |
| Cube | 391099013297 |
| Square root | 85.516080 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 7.313 × |
7313 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and thirteen |
| Binary (base 2) | 1110010010001 |
| Octal (base 8) | 16221 |
| Hexadecimal (base 16) | 1C91 |
| Base 3 | 101000212 |
| As time | 7313 seconds = 2 h 1 min 53 s |
Is 7313 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 | No (remainder 2) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7313 a prime number?
No. 7313 = 71 × 103, so it is divisible by 71.
What are the factors of 7313?
1, 71, 103, 7313.
What is 7313 in binary?
1110010010001 (hexadecimal 1C91, octal 16221).
What is the square root of 7313?
About 85.5161.
Is 7313 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 7313?
7313 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 71 × 103, the product of two primes.