The number 18372
18372 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1531. Divisors (12): 1, 2, 3, 4, 6, 12, 1531, 3062, 4593, 6124, 9186, 18372.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
18372 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18372 is composite. Its prime factorisation is
- 3
The divisors add up to 42896; without 18372 itself that is 24524, so 18372 is abundant (24524 is more than 18372). Euler's totient φ(18372) = 6120 numbers up to 18372 share no factor with it.
- 4
The digits of 18372 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18372 = 2^{2} \times 3 \times 1531 \]18372 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42896 |
| Euler totient φ(n) | 6120 |
| Square | 337530384 |
| Cube | 6201108214848 |
| Square root | 135.543351 (= 2√4593) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.8372 × |
18372 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand three hundred and seventy-two |
| Binary (base 2) | 100011111000100 |
| Octal (base 8) | 43704 |
| Hexadecimal (base 16) | 47C4 |
| Base 3 | 221012110 |
| As time | 18372 seconds = 5 h 6 min 12 s |
Is 18372 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18372 ÷ 2 = 9186) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18372 ÷ 3 = 6124) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18372 ÷ 4 = 4593) | 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 (18372 ÷ 6 = 3062) | 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 | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18372 ÷ 12 = 1531) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18372 a prime number?
No. 18372 = × 3 × 1531, so it is divisible by 2.
What are the factors of 18372?
1, 2, 3, 4, 6, 12, 1531, 3062, 4593, 6124, 9186, 18372.
What is 18372 in binary?
100011111000100 (hexadecimal 47C4, octal 43704).
What is the square root of 18372?
About 135.5434, exactly 2√4593.
Is 18372 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18372?
It is a composite number with 12 divisors.