The number 13480
13480 is a composite number with 16 divisors. Its prime factorisation is × 5 × 337. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 337, 674, 1348, 1685, 2696, 3370, 6740, 13480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13480 is composite. Its prime factorisation is
- 3
The divisors add up to 30420; without 13480 itself that is 16940, so 13480 is abundant (16940 is more than 13480). Euler's totient φ(13480) = 5376 numbers up to 13480 share no factor with it.
- 4
The digits of 13480 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13480 = 2^{3} \times 5 \times 337 \]13480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30420 |
| Euler totient φ(n) | 5376 |
| Square | 181710400 |
| Cube | 2449456192000 |
| Square root | 116.103402 (= 2√3370) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.348 × |
13480 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and eighty |
| Binary (base 2) | 11010010101000 |
| Octal (base 8) | 32250 |
| Hexadecimal (base 16) | 34A8 |
| Base 3 | 200111021 |
| As time | 13480 seconds = 3 h 44 min 40 s |
Is 13480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13480 ÷ 2 = 6740) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13480 ÷ 4 = 3370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (13480 ÷ 5 = 2696) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (13480 ÷ 8 = 1685) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (13480 ÷ 10 = 1348) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13480 a prime number?
No. 13480 = × 5 × 337, so it is divisible by 2.
What are the factors of 13480?
1, 2, 4, 5, 8, 10, 20, 40, 337, 674, 1348, 1685, 2696, 3370, 6740, 13480.
What is 13480 in binary?
11010010101000 (hexadecimal 34A8, octal 32250).
What is the square root of 13480?
About 116.1034, exactly 2√3370.
Is 13480 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13480?
It is a composite number with 16 divisors.