The number 18972
18972 is a composite number with 36 divisors. Its prime factorisation is × × 17 × 31. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 17, 18, 31, 34, 36, 51, 62, 68, 93 … 18972.
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How to work it out
- 1
18972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
18972 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 18972 itself that is 33444, so 18972 is abundant (33444 is more than 18972). Euler's totient φ(18972) = 5760 numbers up to 18972 share no factor with it.
- 4
The digits of 18972 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18972 = 2^{2} \times 3^{2} \times 17 \times 31 \]18972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 5760 |
| Square | 359936784 |
| Cube | 6828720666048 |
| Square root | 137.738883 (= 6√527) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 61 |
| Scientific notation | 1.8972 × |
18972 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand nine hundred and seventy-two |
| Binary (base 2) | 100101000011100 |
| Octal (base 8) | 45034 |
| Hexadecimal (base 16) | 4A1C |
| Base 3 | 222000200 |
| As time | 18972 seconds = 5 h 16 min 12 s |
Is 18972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18972 ÷ 2 = 9486) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18972 ÷ 3 = 6324) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18972 ÷ 4 = 4743) | 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 (18972 ÷ 6 = 3162) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (18972 ÷ 9 = 2108) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18972 ÷ 12 = 1581) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18972 a prime number?
No. 18972 = × × 17 × 31, so it is divisible by 2.
What are the factors of 18972?
1, 2, 3, 4, 6, 9, 12, 17, 18, 31, 34, 36, 51, 62, 68, 93, 102, 124, 153, 186, 204, 279, 306, 372, 527, 558, 612, 1054, 1116, 1581, 2108, 3162, 4743, 6324, 9486, 18972.
What is 18972 in binary?
100101000011100 (hexadecimal 4A1C, octal 45034).
What is the square root of 18972?
About 137.7389, exactly 6√527.
Is 18972 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 18972?
It is a composite number with 36 divisors.