The number 15080
15080 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 29. Divisors (32): 1, 2, 4, 5, 8, 10, 13, 20, 26, 29, 40, 52, 58, 65, 104, 116 … 15080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15080 is composite. Its prime factorisation is
- 3
The divisors add up to 37800; without 15080 itself that is 22720, so 15080 is abundant (22720 is more than 15080). Euler's totient φ(15080) = 5376 numbers up to 15080 share no factor with it.
- 4
The digits of 15080 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15080 = 2^{3} \times 5 \times 13 \times 29 \]15080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 37800 |
| Euler totient φ(n) | 5376 |
| Square | 227406400 |
| Cube | 3429288512000 |
| Square root | 122.800651 (= 2√3770) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.508 × |
15080 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and eighty |
| Binary (base 2) | 11101011101000 |
| Octal (base 8) | 35350 |
| Hexadecimal (base 16) | 3AE8 |
| Base 3 | 202200112 |
| As time | 15080 seconds = 4 h 11 min 20 s |
Is 15080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15080 ÷ 2 = 7540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15080 ÷ 4 = 3770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15080 ÷ 5 = 3016) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (15080 ÷ 8 = 1885) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (15080 ÷ 10 = 1508) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15080 a prime number?
No. 15080 = × 5 × 13 × 29, so it is divisible by 2.
What are the factors of 15080?
1, 2, 4, 5, 8, 10, 13, 20, 26, 29, 40, 52, 58, 65, 104, 116, 130, 145, 232, 260, 290, 377, 520, 580, 754, 1160, 1508, 1885, 3016, 3770, 7540, 15080.
What is 15080 in binary?
11101011101000 (hexadecimal 3AE8, octal 35350).
What is the square root of 15080?
About 122.8007, exactly 2√3770.
Is 15080 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 15080?
It is a composite number with 32 divisors.