The number 13110
13110 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 19 × 23. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 19, 23, 30, 38, 46, 57, 69, 95, 114 … 13110.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13110: a Harshad number: divisible by its digit sum 6.
- 2
13110 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 13110 itself that is 21450, so 13110 is abundant (21450 is more than 13110). Euler's totient φ(13110) = 3168 numbers up to 13110 share no factor with it.
- 4
The digits of 13110 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13110 = 2 \times 3 \times 5 \times 19 \times 23 \]
13110 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 3168 |
| Square | 171872100 |
| Cube | 2253243231000 |
| Square root | 114.498908 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.311 × |
13110 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and ten |
| Binary (base 2) | 11001100110110 |
| Octal (base 8) | 31466 |
| Hexadecimal (base 16) | 3336 |
| Base 3 | 122222120 |
| As time | 13110 seconds = 3 h 38 min 30 s |
Is 13110 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13110 ÷ 2 = 6555) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13110 ÷ 3 = 4370) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13110 ÷ 5 = 2622) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13110 ÷ 6 = 2185) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13110 ÷ 10 = 1311) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13110 a prime number?
No. 13110 = 2 × 3 × 5 × 19 × 23, so it is divisible by 2.
What are the factors of 13110?
1, 2, 3, 5, 6, 10, 15, 19, 23, 30, 38, 46, 57, 69, 95, 114, 115, 138, 190, 230, 285, 345, 437, 570, 690, 874, 1311, 2185, 2622, 4370, 6555, 13110.
What is 13110 in binary?
11001100110110 (hexadecimal 3336, octal 31466).
What is the square root of 13110?
About 114.4989.
Is 13110 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 13110?
13110 is a Harshad number: divisible by its digit sum 6.