The number 40376
40376 is a composite number with 24 divisors. Its prime factorisation is × × 103. Divisors (24): 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 103, 196, 206, 392, 412, 721 … 40376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40376 is composite. Its prime factorisation is
- 3
The divisors add up to 88920; without 40376 itself that is 48544, so 40376 is abundant (48544 is more than 40376). Euler's totient φ(40376) = 17136 numbers up to 40376 share no factor with it.
- 4
The digits of 40376 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40376 = 2^{3} \times 7^{2} \times 103 \]40376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 88920 |
| Euler totient φ(n) | 17136 |
| Square | 1630221376 |
| Cube | 65821818277376 |
| Square root | 200.937801 (= 14√206) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 137 |
| Scientific notation | 4.0376 × |
40376 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and seventy-six |
| Binary (base 2) | 1001110110111000 |
| Octal (base 8) | 116670 |
| Hexadecimal (base 16) | 9DB8 |
| Base 3 | 2001101102 |
| As time | 40376 seconds = 11 h 12 min 56 s |
Is 40376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40376 ÷ 2 = 20188) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40376 ÷ 4 = 10094) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40376 ÷ 7 = 5768) | 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 | Yes (40376 ÷ 8 = 5047) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40376 a prime number?
No. 40376 = × × 103, so it is divisible by 2.
What are the factors of 40376?
1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 103, 196, 206, 392, 412, 721, 824, 1442, 2884, 5047, 5768, 10094, 20188, 40376.
What is 40376 in binary?
1001110110111000 (hexadecimal 9DB8, octal 116670).
What is the square root of 40376?
About 200.9378, exactly 14√206.
Is 40376 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 40376?
It is a composite number with 24 divisors.