The number 29946
29946 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 23 × 31. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 23, 31, 42, 46, 62, 69, 93, 138, 161 … 29946.
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How to work it out
- 1
29946 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29946 is composite. Its prime factorisation is
- 3
The divisors add up to 73728; without 29946 itself that is 43782, so 29946 is abundant (43782 is more than 29946). Euler's totient φ(29946) = 7920 numbers up to 29946 share no factor with it.
- 4
The digits of 29946 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29946 = 2 \times 3 \times 7 \times 23 \times 31 \]
29946 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 73728 |
| Euler totient φ(n) | 7920 |
| Square | 896762916 |
| Cube | 26854462282536 |
| Square root | 173.049126 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9946 × |
29946 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and forty-six |
| Binary (base 2) | 111010011111010 |
| Octal (base 8) | 72372 |
| Hexadecimal (base 16) | 74FA |
| Base 3 | 1112002010 |
| As time | 29946 seconds = 8 h 19 min 6 s |
Is 29946 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29946 ÷ 2 = 14973) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29946 ÷ 3 = 9982) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29946 ÷ 6 = 4991) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29946 ÷ 7 = 4278) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29946 a prime number?
No. 29946 = 2 × 3 × 7 × 23 × 31, so it is divisible by 2.
What are the factors of 29946?
1, 2, 3, 6, 7, 14, 21, 23, 31, 42, 46, 62, 69, 93, 138, 161, 186, 217, 322, 434, 483, 651, 713, 966, 1302, 1426, 2139, 4278, 4991, 9982, 14973, 29946.
What is 29946 in binary?
111010011111010 (hexadecimal 74FA, octal 72372).
What is the square root of 29946?
About 173.0491.
Is 29946 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 29946?
It is a composite number with 32 divisors.