The number 40410
40410 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 449. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 449, 898, 1347, 2245 … 40410.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40410: a Harshad number: divisible by its digit sum 9.
- 2
40410 is composite. Its prime factorisation is
- 3
The divisors add up to 105300; without 40410 itself that is 64890, so 40410 is abundant (64890 is more than 40410). Euler's totient φ(40410) = 10752 numbers up to 40410 share no factor with it.
- 4
The digits of 40410 add up to 9, 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
\[ 40410 = 2 \times 3^{2} \times 5 \times 449 \]40410 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105300 |
| Euler totient φ(n) | 10752 |
| Square | 1632968100 |
| Cube | 65988240921000 |
| Square root | 201.022387 (= 3√4490) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.041 × |
40410 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and ten |
| Binary (base 2) | 1001110111011010 |
| Octal (base 8) | 116732 |
| Hexadecimal (base 16) | 9DDA |
| Base 3 | 2001102200 |
| As time | 40410 seconds = 11 h 13 min 30 s |
Is 40410 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40410 ÷ 2 = 20205) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40410 ÷ 3 = 13470) | 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 | Yes (40410 ÷ 5 = 8082) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40410 ÷ 6 = 6735) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (40410 ÷ 9 = 4490) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40410 ÷ 10 = 4041) | 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 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40410 a prime number?
No. 40410 = 2 × × 5 × 449, so it is divisible by 2.
What are the factors of 40410?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 449, 898, 1347, 2245, 2694, 4041, 4490, 6735, 8082, 13470, 20205, 40410.
What is 40410 in binary?
1001110111011010 (hexadecimal 9DDA, octal 116732).
What is the square root of 40410?
About 201.0224, exactly 3√4490.
Is 40410 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 40410?
40410 is a Harshad number: divisible by its digit sum 9.