The number 5311
5311 is a composite number with 4 divisors. Its prime factorisation is 47 × 113. Divisors (4): 1, 47, 113, 5311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5311: a semiprime: 47 × 113, the product of two primes.
- 2
5311 is composite. Its prime factorisation is
- 3
The divisors add up to 5472; without 5311 itself that is 161, so 5311 is deficient (161 is less than 5311). Euler's totient φ(5311) = 5152 numbers up to 5311 share no factor with it.
- 4
The digits of 5311 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5311 = 47 \times 113 \]
5311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 5472 |
| Euler totient φ(n) | 5152 |
| Square | 28206721 |
| Cube | 149805895231 |
| Square root | 72.876608 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 98 |
| Scientific notation | 5.311 × |
5311 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and eleven |
| Binary (base 2) | 1010010111111 |
| Octal (base 8) | 12277 |
| Hexadecimal (base 16) | 14BF |
| Base 3 | 21021201 |
| As time | 5311 seconds = 1 h 28 min 31 s |
Is 5311 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 1) | 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 7) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5311 a prime number?
No. 5311 = 47 × 113, so it is divisible by 47.
What are the factors of 5311?
1, 47, 113, 5311.
What is 5311 in binary?
1010010111111 (hexadecimal 14BF, octal 12277).
What is the square root of 5311?
About 72.8766.
Is 5311 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 5311?
5311 is a semiprime: 47 × 113, the product of two primes.