The number 40468
40468 is a composite number with 12 divisors. Its prime factorisation is × 67 × 151. Divisors (12): 1, 2, 4, 67, 134, 151, 268, 302, 604, 10117, 20234, 40468.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40468 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40468 is composite. Its prime factorisation is
- 3
The divisors add up to 72352; without 40468 itself that is 31884, so 40468 is deficient (31884 is less than 40468). Euler's totient φ(40468) = 19800 numbers up to 40468 share no factor with it.
- 4
The digits of 40468 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40468 = 2^{2} \times 67 \times 151 \]40468 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 72352 |
| Euler totient φ(n) | 19800 |
| Square | 1637659024 |
| Cube | 66272785383232 |
| Square root | 201.166598 (= 2√10117) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0468 × |
40468 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and sixty-eight |
| Binary (base 2) | 1001111000010100 |
| Octal (base 8) | 117024 |
| Hexadecimal (base 16) | 9E14 |
| Base 3 | 2001111211 |
| As time | 40468 seconds = 11 h 14 min 28 s |
Is 40468 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40468 ÷ 2 = 20234) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40468 ÷ 4 = 10117) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40468 a prime number?
No. 40468 = × 67 × 151, so it is divisible by 2.
What are the factors of 40468?
1, 2, 4, 67, 134, 151, 268, 302, 604, 10117, 20234, 40468.
What is 40468 in binary?
1001111000010100 (hexadecimal 9E14, octal 117024).
What is the square root of 40468?
About 201.1666, exactly 2√10117.
Is 40468 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 40468?
It is a composite number with 12 divisors.