The number 13116
13116 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1093. Divisors (12): 1, 2, 3, 4, 6, 12, 1093, 2186, 3279, 4372, 6558, 13116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13116: a Harshad number: divisible by its digit sum 12.
- 2
13116 is composite. Its prime factorisation is
- 3
The divisors add up to 30632; without 13116 itself that is 17516, so 13116 is abundant (17516 is more than 13116). Euler's totient φ(13116) = 4368 numbers up to 13116 share no factor with it.
- 4
The digits of 13116 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13116 = 2^{2} \times 3 \times 1093 \]13116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30632 |
| Euler totient φ(n) | 4368 |
| Square | 172029456 |
| Cube | 2256338344896 |
| Square root | 114.525106 (= 2√3279) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3116 × |
13116 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and sixteen |
| Binary (base 2) | 11001100111100 |
| Octal (base 8) | 31474 |
| Hexadecimal (base 16) | 333C |
| Base 3 | 122222210 |
| As time | 13116 seconds = 3 h 38 min 36 s |
Is 13116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13116 ÷ 2 = 6558) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13116 ÷ 3 = 4372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13116 ÷ 4 = 3279) | 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 | Yes (13116 ÷ 6 = 2186) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13116 ÷ 12 = 1093) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13116 a prime number?
No. 13116 = × 3 × 1093, so it is divisible by 2.
What are the factors of 13116?
1, 2, 3, 4, 6, 12, 1093, 2186, 3279, 4372, 6558, 13116.
What is 13116 in binary?
11001100111100 (hexadecimal 333C, octal 31474).
What is the square root of 13116?
About 114.5251, exactly 2√3279.
Is 13116 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13116?
13116 is a Harshad number: divisible by its digit sum 12.