The number 18201
18201 is a composite number with 4 divisors. Its prime factorisation is 3 × 6067. Divisors (4): 1, 3, 6067, 18201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18201: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 6067, the product of two primes.
- 2
18201 is composite. Its prime factorisation is
- 3
The divisors add up to 24272; without 18201 itself that is 6071, so 18201 is deficient (6071 is less than 18201). Euler's totient φ(18201) = 12132 numbers up to 18201 share no factor with it.
- 4
The digits of 18201 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 123 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18201 = 3 \times 6067 \]
18201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 24272 |
| Euler totient φ(n) | 12132 |
| Square | 331276401 |
| Cube | 6029561774601 |
| Square root | 134.911082 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 123 |
| Scientific notation | 1.8201 × |
18201 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand two hundred and one |
| Binary (base 2) | 100011100011001 |
| Octal (base 8) | 43431 |
| Hexadecimal (base 16) | 4719 |
| Base 3 | 220222010 |
| As time | 18201 seconds = 5 h 3 min 21 s |
Is 18201 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18201 ÷ 3 = 6067) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18201 a prime number?
No. 18201 = 3 × 6067, so it is divisible by 3.
What are the factors of 18201?
1, 3, 6067, 18201.
What is 18201 in binary?
100011100011001 (hexadecimal 4719, octal 43431).
What is the square root of 18201?
About 134.9111.
Is 18201 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 18201?
18201 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 6067, the product of two primes.