The number 13080
13080 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 109. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109 … 13080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13080: a Harshad number: divisible by its digit sum 12.
- 2
13080 is composite. Its prime factorisation is
- 3
The divisors add up to 39600; without 13080 itself that is 26520, so 13080 is abundant (26520 is more than 13080). Euler's totient φ(13080) = 3456 numbers up to 13080 share no factor with it.
- 4
The digits of 13080 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13080 = 2^{3} \times 3 \times 5 \times 109 \]13080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 39600 |
| Euler totient φ(n) | 3456 |
| Square | 171086400 |
| Cube | 2237810112000 |
| Square root | 114.367828 (= 2√3270) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.308 × |
13080 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and eighty |
| Binary (base 2) | 11001100011000 |
| Octal (base 8) | 31430 |
| Hexadecimal (base 16) | 3318 |
| Base 3 | 122221110 |
| As time | 13080 seconds = 3 h 38 min 0 s |
Is 13080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13080 ÷ 2 = 6540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13080 ÷ 3 = 4360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13080 ÷ 4 = 3270) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13080 ÷ 5 = 2616) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13080 ÷ 6 = 2180) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (13080 ÷ 8 = 1635) | 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 | Yes (13080 ÷ 10 = 1308) | 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 | Yes (13080 ÷ 12 = 1090) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13080 a prime number?
No. 13080 = × 3 × 5 × 109, so it is divisible by 2.
What are the factors of 13080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 109, 120, 218, 327, 436, 545, 654, 872, 1090, 1308, 1635, 2180, 2616, 3270, 4360, 6540, 13080.
What is 13080 in binary?
11001100011000 (hexadecimal 3318, octal 31430).
What is the square root of 13080?
About 114.3678, exactly 2√3270.
Is 13080 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13080?
13080 is a Harshad number: divisible by its digit sum 12.