The number 16441
16441 is a composite number with 4 divisors. Its prime factorisation is 41 × 401. Divisors (4): 1, 41, 401, 16441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16441: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 401, the product of two primes.
- 2
16441 is composite. Its prime factorisation is
- 3
The divisors add up to 16884; without 16441 itself that is 443, so 16441 is deficient (443 is less than 16441). Euler's totient φ(16441) = 16000 numbers up to 16441 share no factor with it.
- 4
The digits of 16441 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16441 = 41 \times 401 \]
16441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 16884 |
| Euler totient φ(n) | 16000 |
| Square | 270306481 |
| Cube | 4444108854121 |
| Square root | 128.222463 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6441 × |
16441 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and forty-one |
| Binary (base 2) | 100000000111001 |
| Octal (base 8) | 40071 |
| Hexadecimal (base 16) | 4039 |
| Base 3 | 211112221 |
| As time | 16441 seconds = 4 h 34 min 1 s |
Is 16441 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 5) | 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 7) | 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 7) | 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 16441 a prime number?
No. 16441 = 41 × 401, so it is divisible by 41.
What are the factors of 16441?
1, 41, 401, 16441.
What is 16441 in binary?
100000000111001 (hexadecimal 4039, octal 40071).
What is the square root of 16441?
About 128.2225.
Is 16441 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16441?
16441 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 41 × 401, the product of two primes.