The number 34441
34441 is a composite number with 8 divisors. Its prime factorisation is 11 × 31 × 101. Divisors (8): 1, 11, 31, 101, 341, 1111, 3131, 34441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
34441 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
34441 is composite. Its prime factorisation is
- 3
The divisors add up to 39168; without 34441 itself that is 4727, so 34441 is deficient (4727 is less than 34441). Euler's totient φ(34441) = 30000 numbers up to 34441 share no factor with it.
- 4
The digits of 34441 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 173 steps to reach 1.
LaTeX source of the formulas on this page
\[ 34441 = 11 \times 31 \times 101 \]
34441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39168 |
| Euler totient φ(n) | 30000 |
| Square | 1186182481 |
| Cube | 40853310828121 |
| Square root | 185.582866 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 173 |
| Scientific notation | 3.4441 × |
34441 in other forms
| Form | Value |
|---|---|
| In words | thirty-four thousand four hundred and forty-one |
| Binary (base 2) | 1000011010001001 |
| Octal (base 8) | 103211 |
| Hexadecimal (base 16) | 8689 |
| Base 3 | 1202020121 |
| As time | 34441 seconds = 9 h 34 min 1 s |
Is 34441 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 1) | 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 | Yes (34441 ÷ 11 = 3131) | 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 34441 a prime number?
No. 34441 = 11 × 31 × 101, so it is divisible by 11.
What are the factors of 34441?
1, 11, 31, 101, 341, 1111, 3131, 34441.
What is 34441 in binary?
1000011010001001 (hexadecimal 8689, octal 103211).
What is the square root of 34441?
About 185.5829.
Is 34441 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 34441?
It is a composite number with 8 divisors.