The number 40284
40284 is a composite number with 24 divisors. Its prime factorisation is × × 373. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 373, 746, 1119, 1492 … 40284.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40284: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
40284 is composite. Its prime factorisation is
- 3
The divisors add up to 104720; without 40284 itself that is 64436, so 40284 is abundant (64436 is more than 40284). Euler's totient φ(40284) = 13392 numbers up to 40284 share no factor with it.
- 4
The digits of 40284 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40284 = 2^{2} \times 3^{3} \times 373 \]40284 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 104720 |
| Euler totient φ(n) | 13392 |
| Square | 1622800656 |
| Cube | 65372901626304 |
| Square root | 200.708744 (= 6√1119) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0284 × |
40284 in other forms
| Form | Value |
|---|---|
| In words | forty thousand two hundred and eighty-four |
| Binary (base 2) | 1001110101011100 |
| Octal (base 8) | 116534 |
| Hexadecimal (base 16) | 9D5C |
| Base 3 | 2001021000 |
| As time | 40284 seconds = 11 h 11 min 24 s |
Is 40284 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40284 ÷ 2 = 20142) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40284 ÷ 3 = 13428) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40284 ÷ 4 = 10071) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40284 ÷ 6 = 6714) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (40284 ÷ 9 = 4476) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 (40284 ÷ 12 = 3357) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40284 a prime number?
No. 40284 = × × 373, so it is divisible by 2.
What are the factors of 40284?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 373, 746, 1119, 1492, 2238, 3357, 4476, 6714, 10071, 13428, 20142, 40284.
What is 40284 in binary?
1001110101011100 (hexadecimal 9D5C, octal 116534).
What is the square root of 40284?
About 200.7087, exactly 6√1119.
Is 40284 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40284?
40284 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.