The number 15072
15072 is a composite number with 24 divisors. Its prime factorisation is × 3 × 157. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 157, 314, 471, 628 … 15072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15072: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
15072 is composite. Its prime factorisation is
- 3
The divisors add up to 39816; without 15072 itself that is 24744, so 15072 is abundant (24744 is more than 15072). Euler's totient φ(15072) = 4992 numbers up to 15072 share no factor with it.
- 4
The digits of 15072 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15072 = 2^{5} \times 3 \times 157 \]15072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 39816 |
| Euler totient φ(n) | 4992 |
| Square | 227165184 |
| Cube | 3423833653248 |
| Square root | 122.768074 (= 4√942) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 1.5072 × |
15072 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and seventy-two |
| Binary (base 2) | 11101011100000 |
| Octal (base 8) | 35340 |
| Hexadecimal (base 16) | 3AE0 |
| Base 3 | 202200020 |
| As time | 15072 seconds = 4 h 11 min 12 s |
Is 15072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15072 ÷ 2 = 7536) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15072 ÷ 3 = 5024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15072 ÷ 4 = 3768) | 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 (15072 ÷ 6 = 2512) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (15072 ÷ 8 = 1884) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15072 ÷ 12 = 1256) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15072 a prime number?
No. 15072 = × 3 × 157, so it is divisible by 2.
What are the factors of 15072?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 157, 314, 471, 628, 942, 1256, 1884, 2512, 3768, 5024, 7536, 15072.
What is 15072 in binary?
11101011100000 (hexadecimal 3AE0, octal 35340).
What is the square root of 15072?
About 122.7681, exactly 4√942.
Is 15072 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 15072?
15072 is a happy number: repeatedly adding the squares of its digits reaches 1.