The number 15020
15020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 751. Divisors (12): 1, 2, 4, 5, 10, 20, 751, 1502, 3004, 3755, 7510, 15020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15020 is composite. Its prime factorisation is
- 3
The divisors add up to 31584; without 15020 itself that is 16564, so 15020 is abundant (16564 is more than 15020). Euler's totient φ(15020) = 6000 numbers up to 15020 share no factor with it.
- 4
The digits of 15020 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15020 = 2^{2} \times 5 \times 751 \]15020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31584 |
| Euler totient φ(n) | 6000 |
| Square | 225600400 |
| Cube | 3388518008000 |
| Square root | 122.556110 (= 2√3755) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.502 × |
15020 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and twenty |
| Binary (base 2) | 11101010101100 |
| Octal (base 8) | 35254 |
| Hexadecimal (base 16) | 3AAC |
| Base 3 | 202121022 |
| As time | 15020 seconds = 4 h 10 min 20 s |
Is 15020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15020 ÷ 2 = 7510) | 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 (15020 ÷ 4 = 3755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15020 ÷ 5 = 3004) | 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 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (15020 ÷ 10 = 1502) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15020 a prime number?
No. 15020 = × 5 × 751, so it is divisible by 2.
What are the factors of 15020?
1, 2, 4, 5, 10, 20, 751, 1502, 3004, 3755, 7510, 15020.
What is 15020 in binary?
11101010101100 (hexadecimal 3AAC, octal 35254).
What is the square root of 15020?
About 122.5561, exactly 2√3755.
Is 15020 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 15020?
It is a composite number with 12 divisors.