The number 18072
18072 is a composite number with 24 divisors. Its prime factorisation is × × 251. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 251, 502, 753, 1004 … 18072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18072: a Harshad number: divisible by its digit sum 18.
- 2
18072 is composite. Its prime factorisation is
- 3
The divisors add up to 49140; without 18072 itself that is 31068, so 18072 is abundant (31068 is more than 18072). Euler's totient φ(18072) = 6000 numbers up to 18072 share no factor with it.
- 4
The digits of 18072 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18072 = 2^{3} \times 3^{2} \times 251 \]18072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 49140 |
| Euler totient φ(n) | 6000 |
| Square | 326597184 |
| Cube | 5902264309248 |
| Square root | 134.432139 (= 6√502) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8072 × |
18072 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and seventy-two |
| Binary (base 2) | 100011010011000 |
| Octal (base 8) | 43230 |
| Hexadecimal (base 16) | 4698 |
| Base 3 | 220210100 |
| As time | 18072 seconds = 5 h 1 min 12 s |
Is 18072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18072 ÷ 2 = 9036) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18072 ÷ 3 = 6024) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18072 ÷ 4 = 4518) | 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 (18072 ÷ 6 = 3012) | 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 (18072 ÷ 8 = 2259) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18072 ÷ 9 = 2008) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18072 ÷ 12 = 1506) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18072 a prime number?
No. 18072 = × × 251, so it is divisible by 2.
What are the factors of 18072?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 251, 502, 753, 1004, 1506, 2008, 2259, 3012, 4518, 6024, 9036, 18072.
What is 18072 in binary?
100011010011000 (hexadecimal 4698, octal 43230).
What is the square root of 18072?
About 134.4321, exactly 6√502.
Is 18072 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18072?
18072 is a Harshad number: divisible by its digit sum 18.