The number 40446
40446 is a composite number with 32 divisors. Its prime factorisation is 2 × × 7 × 107. Divisors (32): 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 107, 126, 189 … 40446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40446: a Harshad number: divisible by its digit sum 18.
- 2
40446 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 40446 itself that is 63234, so 40446 is abundant (63234 is more than 40446). Euler's totient φ(40446) = 11448 numbers up to 40446 share no factor with it.
- 4
The digits of 40446 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40446 = 2 \times 3^{3} \times 7 \times 107 \]40446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 11448 |
| Square | 1635878916 |
| Cube | 66164758636536 |
| Square root | 201.111909 (= 3√4494) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0446 × |
40446 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and forty-six |
| Binary (base 2) | 1001110111111110 |
| Octal (base 8) | 116776 |
| Hexadecimal (base 16) | 9DFE |
| Base 3 | 2001111000 |
| As time | 40446 seconds = 11 h 14 min 6 s |
Is 40446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40446 ÷ 2 = 20223) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40446 ÷ 3 = 13482) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40446 ÷ 6 = 6741) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (40446 ÷ 7 = 5778) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40446 ÷ 9 = 4494) | 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 10) | 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 40446 a prime number?
No. 40446 = 2 × × 7 × 107, so it is divisible by 2.
What are the factors of 40446?
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 107, 126, 189, 214, 321, 378, 642, 749, 963, 1498, 1926, 2247, 2889, 4494, 5778, 6741, 13482, 20223, 40446.
What is 40446 in binary?
1001110111111110 (hexadecimal 9DFE, octal 116776).
What is the square root of 40446?
About 201.1119, exactly 3√4494.
Is 40446 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 40446?
40446 is a Harshad number: divisible by its digit sum 18.