The number 15012
15012 is a composite number with 24 divisors. Its prime factorisation is × × 139. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 139, 278, 417, 556 … 15012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15012: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
15012 is composite. Its prime factorisation is
- 3
The divisors add up to 39200; without 15012 itself that is 24188, so 15012 is abundant (24188 is more than 15012). Euler's totient φ(15012) = 4968 numbers up to 15012 share no factor with it.
- 4
The digits of 15012 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15012 = 2^{2} \times 3^{3} \times 139 \]15012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 39200 |
| Euler totient φ(n) | 4968 |
| Square | 225360144 |
| Cube | 3383106481728 |
| Square root | 122.523467 (= 6√417) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 1.5012 × |
15012 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and twelve |
| Binary (base 2) | 11101010100100 |
| Octal (base 8) | 35244 |
| Hexadecimal (base 16) | 3AA4 |
| Base 3 | 202121000 |
| As time | 15012 seconds = 4 h 10 min 12 s |
Is 15012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15012 ÷ 2 = 7506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15012 ÷ 3 = 5004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15012 ÷ 4 = 3753) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15012 ÷ 6 = 2502) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15012 ÷ 9 = 1668) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15012 ÷ 12 = 1251) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15012 a prime number?
No. 15012 = × × 139, so it is divisible by 2.
What are the factors of 15012?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 139, 278, 417, 556, 834, 1251, 1668, 2502, 3753, 5004, 7506, 15012.
What is 15012 in binary?
11101010100100 (hexadecimal 3AA4, octal 35244).
What is the square root of 15012?
About 122.5235, exactly 6√417.
Is 15012 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 15012?
15012 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.