The number 40176
40176 is a composite number with 50 divisors. Its prime factorisation is × × 31. Divisors (50): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 36, 48, 54 … 40176.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40176: a Harshad number: divisible by its digit sum 18.
- 2
40176 is composite. Its prime factorisation is
- 3
The divisors add up to 120032; without 40176 itself that is 79856, so 40176 is abundant (79856 is more than 40176). Euler's totient φ(40176) = 12960 numbers up to 40176 share no factor with it.
- 4
The digits of 40176 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 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40176 = 2^{4} \times 3^{4} \times 31 \]40176 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 50 |
| Sum of divisors | 120032 |
| Euler totient φ(n) | 12960 |
| Square | 1614110976 |
| Cube | 64848522571776 |
| Square root | 200.439517 (= 36√31) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 93 |
| Scientific notation | 4.0176 × |
40176 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and seventy-six |
| Binary (base 2) | 1001110011110000 |
| Octal (base 8) | 116360 |
| Hexadecimal (base 16) | 9CF0 |
| Base 3 | 2001010000 |
| As time | 40176 seconds = 11 h 9 min 36 s |
Is 40176 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40176 ÷ 2 = 20088) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40176 ÷ 3 = 13392) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40176 ÷ 4 = 10044) | 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 (40176 ÷ 6 = 6696) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (40176 ÷ 8 = 5022) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40176 ÷ 9 = 4464) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40176 ÷ 12 = 3348) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40176 a prime number?
No. 40176 = × × 31, so it is divisible by 2.
What are the factors of 40176?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 36, 48, 54, 62, 72, 81, 93, 108, 124, 144, 162, 186, 216, 248, 279, 324, 372, 432, 496, 558, 648, 744, 837, 1116, 1296, 1488, 1674, 2232, 2511, 3348, 4464, 5022, 6696, 10044, 13392, 20088, 40176.
What is 40176 in binary?
1001110011110000 (hexadecimal 9CF0, octal 116360).
What is the square root of 40176?
About 200.4395, exactly 36√31.
Is 40176 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40176?
40176 is a Harshad number: divisible by its digit sum 18.