The number 29444
29444 is a composite number with 12 divisors. Its prime factorisation is × 17 × 433. Divisors (12): 1, 2, 4, 17, 34, 68, 433, 866, 1732, 7361, 14722, 29444.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29444: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29444 is composite. Its prime factorisation is
- 3
The divisors add up to 54684; without 29444 itself that is 25240, so 29444 is deficient (25240 is less than 29444). Euler's totient φ(29444) = 13824 numbers up to 29444 share no factor with it.
- 4
The digits of 29444 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29444 = 2^{2} \times 17 \times 433 \]29444 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 54684 |
| Euler totient φ(n) | 13824 |
| Square | 866949136 |
| Cube | 25526450360384 |
| Square root | 171.592541 (= 2√7361) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.9444 × |
29444 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and forty-four |
| Binary (base 2) | 111001100000100 |
| Octal (base 8) | 71404 |
| Hexadecimal (base 16) | 7304 |
| Base 3 | 1111101112 |
| As time | 29444 seconds = 8 h 10 min 44 s |
Is 29444 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29444 ÷ 2 = 14722) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29444 ÷ 4 = 7361) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29444 a prime number?
No. 29444 = × 17 × 433, so it is divisible by 2.
What are the factors of 29444?
1, 2, 4, 17, 34, 68, 433, 866, 1732, 7361, 14722, 29444.
What is 29444 in binary?
111001100000100 (hexadecimal 7304, octal 71404).
What is the square root of 29444?
About 171.5925, exactly 2√7361.
Is 29444 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 29444?
29444 is a happy number: repeatedly adding the squares of its digits reaches 1.