The number 40441
40441 is a composite number with 4 divisors. Its prime factorisation is 37 × 1093. Divisors (4): 1, 37, 1093, 40441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40441: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1093, the product of two primes.
- 2
40441 is composite. Its prime factorisation is
- 3
The divisors add up to 41572; without 40441 itself that is 1131, so 40441 is deficient (1131 is less than 40441). Euler's totient φ(40441) = 39312 numbers up to 40441 share no factor with it.
- 4
The digits of 40441 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 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40441 = 37 \times 1093 \]
40441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41572 |
| Euler totient φ(n) | 39312 |
| Square | 1635474481 |
| Cube | 66140223486121 |
| Square root | 201.099478 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0441 × |
40441 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and forty-one |
| Binary (base 2) | 1001110111111001 |
| Octal (base 8) | 116771 |
| Hexadecimal (base 16) | 9DF9 |
| Base 3 | 2001110211 |
| As time | 40441 seconds = 11 h 14 min 1 s |
Is 40441 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40441 a prime number?
No. 40441 = 37 × 1093, so it is divisible by 37.
What are the factors of 40441?
1, 37, 1093, 40441.
What is 40441 in binary?
1001110111111001 (hexadecimal 9DF9, octal 116771).
What is the square root of 40441?
About 201.0995.
Is 40441 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 40441?
40441 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 1093, the product of two primes.