The number 41440
41440 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 37. Divisors (48): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 37, 40, 56 … 41440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 41440: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
41440 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 41440 itself that is 73472, so 41440 is abundant (73472 is more than 41440). Euler's totient φ(41440) = 13824 numbers up to 41440 share no factor with it.
- 4
The digits of 41440 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 41440 = 2^{5} \times 5 \times 7 \times 37 \]41440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 13824 |
| Square | 1717273600 |
| Cube | 71163817984000 |
| Square root | 203.568170 (= 4√2590) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.144 × |
41440 in other forms
| Form | Value |
|---|---|
| In words | forty-one thousand four hundred and forty |
| Binary (base 2) | 1010000111100000 |
| Octal (base 8) | 120740 |
| Hexadecimal (base 16) | A1E0 |
| Base 3 | 2002211211 |
| As time | 41440 seconds = 11 h 30 min 40 s |
Is 41440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (41440 ÷ 2 = 20720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (41440 ÷ 4 = 10360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (41440 ÷ 5 = 8288) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (41440 ÷ 7 = 5920) | 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 (41440 ÷ 8 = 5180) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (41440 ÷ 10 = 4144) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 41440 a prime number?
No. 41440 = × 5 × 7 × 37, so it is divisible by 2.
What are the factors of 41440?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 37, 40, 56, 70, 74, 80, 112, 140, 148, 160, 185, 224, 259, 280, 296, 370, 518, 560, 592, 740, 1036, 1120, 1184, 1295, 1480, 2072, 2590, 2960, 4144, 5180, 5920, 8288, 10360, 20720, 41440.
What is 41440 in binary?
1010000111100000 (hexadecimal A1E0, octal 120740).
What is the square root of 41440?
About 203.5682, exactly 4√2590.
Is 41440 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 41440?
41440 is a happy number: repeatedly adding the squares of its digits reaches 1.