The number 13113
13113 is a composite number with 12 divisors. Its prime factorisation is × 31 × 47. Divisors (12): 1, 3, 9, 31, 47, 93, 141, 279, 423, 1457, 4371, 13113.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13113: a Harshad number: divisible by its digit sum 9.
- 2
13113 is composite. Its prime factorisation is
- 3
The divisors add up to 19968; without 13113 itself that is 6855, so 13113 is deficient (6855 is less than 13113). Euler's totient φ(13113) = 8280 numbers up to 13113 share no factor with it.
- 4
The digits of 13113 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13113 = 3^{2} \times 31 \times 47 \]13113 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 19968 |
| Euler totient φ(n) | 8280 |
| Square | 171950769 |
| Cube | 2254790433897 |
| Square root | 114.512008 (= 3√1457) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 169 |
| Scientific notation | 1.3113 × |
13113 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and thirteen |
| Binary (base 2) | 11001100111001 |
| Octal (base 8) | 31471 |
| Hexadecimal (base 16) | 3339 |
| Base 3 | 122222200 |
| As time | 13113 seconds = 3 h 38 min 33 s |
Is 13113 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 (13113 ÷ 3 = 4371) | 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 | No (remainder 2) | 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 | Yes (13113 ÷ 9 = 1457) | 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 1) | 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 13113 a prime number?
No. 13113 = × 31 × 47, so it is divisible by 3.
What are the factors of 13113?
1, 3, 9, 31, 47, 93, 141, 279, 423, 1457, 4371, 13113.
What is 13113 in binary?
11001100111001 (hexadecimal 3339, octal 31471).
What is the square root of 13113?
About 114.5120, exactly 3√1457.
Is 13113 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 13113?
13113 is a Harshad number: divisible by its digit sum 9.