The number 29942
29942 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 1361. Divisors (8): 1, 2, 11, 22, 1361, 2722, 14971, 29942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29942 is composite. Its prime factorisation is
- 3
The divisors add up to 49032; without 29942 itself that is 19090, so 29942 is deficient (19090 is less than 29942). Euler's totient φ(29942) = 13600 numbers up to 29942 share no factor with it.
- 4
The digits of 29942 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29942 = 2 \times 11 \times 1361 \]
29942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 49032 |
| Euler totient φ(n) | 13600 |
| Square | 896523364 |
| Cube | 26843702564888 |
| Square root | 173.037568 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9942 × |
29942 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and forty-two |
| Binary (base 2) | 111010011110110 |
| Octal (base 8) | 72366 |
| Hexadecimal (base 16) | 74F6 |
| Base 3 | 1112001222 |
| As time | 29942 seconds = 8 h 19 min 2 s |
Is 29942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29942 ÷ 2 = 14971) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (29942 ÷ 11 = 2722) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29942 a prime number?
No. 29942 = 2 × 11 × 1361, so it is divisible by 2.
What are the factors of 29942?
1, 2, 11, 22, 1361, 2722, 14971, 29942.
What is 29942 in binary?
111010011110110 (hexadecimal 74F6, octal 72366).
What is the square root of 29942?
About 173.0376.
Is 29942 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 29942?
It is a composite number with 8 divisors.