The number 40362
40362 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × 7 × . Divisors (24): 1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 961 … 40362.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40362 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40362 is composite. Its prime factorisation is
- 3
The divisors add up to 95328; without 40362 itself that is 54966, so 40362 is abundant (54966 is more than 40362). Euler's totient φ(40362) = 11160 numbers up to 40362 share no factor with it.
- 4
The digits of 40362 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40362 = 2 \times 3 \times 7 \times 31^{2} \]40362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 95328 |
| Euler totient φ(n) | 11160 |
| Square | 1629091044 |
| Cube | 65753372717928 |
| Square root | 200.902962 (= 31√42) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0362 × |
40362 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and sixty-two |
| Binary (base 2) | 1001110110101010 |
| Octal (base 8) | 116652 |
| Hexadecimal (base 16) | 9DAA |
| Base 3 | 2001100220 |
| As time | 40362 seconds = 11 h 12 min 42 s |
Is 40362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40362 ÷ 2 = 20181) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40362 ÷ 3 = 13454) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (40362 ÷ 6 = 6727) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40362 ÷ 7 = 5766) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40362 a prime number?
No. 40362 = 2 × 3 × 7 × , so it is divisible by 2.
What are the factors of 40362?
1, 2, 3, 6, 7, 14, 21, 31, 42, 62, 93, 186, 217, 434, 651, 961, 1302, 1922, 2883, 5766, 6727, 13454, 20181, 40362.
What is 40362 in binary?
1001110110101010 (hexadecimal 9DAA, octal 116652).
What is the square root of 40362?
About 200.9030, exactly 31√42.
Is 40362 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 40362?
It is a composite number with 24 divisors.