The number 5313
5313 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 11 × 23. Divisors (16): 1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5313: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5313 is composite. Its prime factorisation is
- 3
The divisors add up to 9216; without 5313 itself that is 3903, so 5313 is deficient (3903 is less than 5313). Euler's totient φ(5313) = 2640 numbers up to 5313 share no factor with it.
- 4
The digits of 5313 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5313 = 3 \times 7 \times 11 \times 23 \]
5313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 9216 |
| Euler totient φ(n) | 2640 |
| Square | 28227969 |
| Cube | 149975199297 |
| Square root | 72.890329 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 54 |
| Scientific notation | 5.313 × |
5313 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and thirteen |
| Binary (base 2) | 1010011000001 |
| Octal (base 8) | 12301 |
| Hexadecimal (base 16) | 14C1 |
| Base 3 | 21021210 |
| As time | 5313 seconds = 1 h 28 min 33 s |
Is 5313 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 (5313 ÷ 3 = 1771) | 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 (5313 ÷ 7 = 759) | 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 3) | 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 | Yes (5313 ÷ 11 = 483) | 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 5313 a prime number?
No. 5313 = 3 × 7 × 11 × 23, so it is divisible by 3.
What are the factors of 5313?
1, 3, 7, 11, 21, 23, 33, 69, 77, 161, 231, 253, 483, 759, 1771, 5313.
What is 5313 in binary?
1010011000001 (hexadecimal 14C1, octal 12301).
What is the square root of 5313?
About 72.8903.
Is 5313 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5313?
5313 is a happy number: repeatedly adding the squares of its digits reaches 1.