The number 40476
40476 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3373. Divisors (12): 1, 2, 3, 4, 6, 12, 3373, 6746, 10119, 13492, 20238, 40476.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40476 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40476 is composite. Its prime factorisation is
- 3
The divisors add up to 94472; without 40476 itself that is 53996, so 40476 is abundant (53996 is more than 40476). Euler's totient φ(40476) = 13488 numbers up to 40476 share no factor with it.
- 4
The digits of 40476 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40476 = 2^{2} \times 3 \times 3373 \]40476 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94472 |
| Euler totient φ(n) | 13488 |
| Square | 1638306576 |
| Cube | 66312096970176 |
| Square root | 201.186481 (= 2√10119) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.0476 × |
40476 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and seventy-six |
| Binary (base 2) | 1001111000011100 |
| Octal (base 8) | 117034 |
| Hexadecimal (base 16) | 9E1C |
| Base 3 | 2001112010 |
| As time | 40476 seconds = 11 h 14 min 36 s |
Is 40476 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40476 ÷ 2 = 20238) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40476 ÷ 3 = 13492) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40476 ÷ 4 = 10119) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40476 ÷ 6 = 6746) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40476 ÷ 12 = 3373) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40476 a prime number?
No. 40476 = × 3 × 3373, so it is divisible by 2.
What are the factors of 40476?
1, 2, 3, 4, 6, 12, 3373, 6746, 10119, 13492, 20238, 40476.
What is 40476 in binary?
1001111000011100 (hexadecimal 9E1C, octal 117034).
What is the square root of 40476?
About 201.1865, exactly 2√10119.
Is 40476 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 40476?
It is a composite number with 12 divisors.