The number 29971
29971 is a composite number with 8 divisors. Its prime factorisation is 17 × 41 × 43. Divisors (8): 1, 17, 41, 43, 697, 731, 1763, 29971.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29971 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29971 is composite. Its prime factorisation is
- 3
The divisors add up to 33264; without 29971 itself that is 3293, so 29971 is deficient (3293 is less than 29971). Euler's totient φ(29971) = 26880 numbers up to 29971 share no factor with it.
- 4
The digits of 29971 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29971 = 17 \times 41 \times 43 \]
29971 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 33264 |
| Euler totient φ(n) | 26880 |
| Square | 898260841 |
| Cube | 26921775665611 |
| Square root | 173.121345 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.9971 × |
29971 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and seventy-one |
| Binary (base 2) | 111010100010011 |
| Octal (base 8) | 72423 |
| Hexadecimal (base 16) | 7513 |
| Base 3 | 1112010001 |
| As time | 29971 seconds = 8 h 19 min 31 s |
Is 29971 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 3) | 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 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29971 a prime number?
No. 29971 = 17 × 41 × 43, so it is divisible by 17.
What are the factors of 29971?
1, 17, 41, 43, 697, 731, 1763, 29971.
What is 29971 in binary?
111010100010011 (hexadecimal 7513, octal 72423).
What is the square root of 29971?
About 173.1213.
Is 29971 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 29971?
It is a composite number with 8 divisors.