The number 18012
18012 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 79. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 79, 114, 158, 228, 237, 316 … 18012.
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How to work it out
- 1
What is special about 18012: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.
- 2
18012 is composite. Its prime factorisation is
- 3
The divisors add up to 44800; without 18012 itself that is 26788, so 18012 is abundant (26788 is more than 18012). Euler's totient φ(18012) = 5616 numbers up to 18012 share no factor with it.
- 4
The digits of 18012 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18012 = 2^{2} \times 3 \times 19 \times 79 \]18012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 44800 |
| Euler totient φ(n) | 5616 |
| Square | 324432144 |
| Cube | 5843671777728 |
| Square root | 134.208793 (= 2√4503) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.8012 × |
18012 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and twelve |
| Binary (base 2) | 100011001011100 |
| Octal (base 8) | 43134 |
| Hexadecimal (base 16) | 465C |
| Base 3 | 220201010 |
| As time | 18012 seconds = 5 h 0 min 12 s |
Is 18012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18012 ÷ 2 = 9006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18012 ÷ 3 = 6004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18012 ÷ 4 = 4503) | 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 (18012 ÷ 6 = 3002) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18012 ÷ 12 = 1501) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18012 a prime number?
No. 18012 = × 3 × 19 × 79, so it is divisible by 2.
What are the factors of 18012?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 79, 114, 158, 228, 237, 316, 474, 948, 1501, 3002, 4503, 6004, 9006, 18012.
What is 18012 in binary?
100011001011100 (hexadecimal 465C, octal 43134).
What is the square root of 18012?
About 134.2088, exactly 2√4503.
Is 18012 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 18012?
18012 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.