The number 29940
29940 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 499. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 499, 998, 1497, 1996 … 29940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29940 is composite. Its prime factorisation is
- 3
The divisors add up to 84000; without 29940 itself that is 54060, so 29940 is abundant (54060 is more than 29940). Euler's totient φ(29940) = 7968 numbers up to 29940 share no factor with it.
- 4
The digits of 29940 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29940 = 2^{2} \times 3 \times 5 \times 499 \]29940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84000 |
| Euler totient φ(n) | 7968 |
| Square | 896403600 |
| Cube | 26838323784000 |
| Square root | 173.031789 (= 2√7485) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.994 × |
29940 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and forty |
| Binary (base 2) | 111010011110100 |
| Octal (base 8) | 72364 |
| Hexadecimal (base 16) | 74F4 |
| Base 3 | 1112001220 |
| As time | 29940 seconds = 8 h 19 min 0 s |
Is 29940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29940 ÷ 2 = 14970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29940 ÷ 3 = 9980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29940 ÷ 4 = 7485) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29940 ÷ 5 = 5988) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29940 ÷ 6 = 4990) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29940 ÷ 10 = 2994) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29940 ÷ 12 = 2495) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29940 a prime number?
No. 29940 = × 3 × 5 × 499, so it is divisible by 2.
What are the factors of 29940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 499, 998, 1497, 1996, 2495, 2994, 4990, 5988, 7485, 9980, 14970, 29940.
What is 29940 in binary?
111010011110100 (hexadecimal 74F4, octal 72364).
What is the square root of 29940?
About 173.0318, exactly 2√7485.
Is 29940 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 29940?
It is a composite number with 24 divisors.