The number 29740
29740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1487. Divisors (12): 1, 2, 4, 5, 10, 20, 1487, 2974, 5948, 7435, 14870, 29740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29740 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 29740 itself that is 32756, so 29740 is abundant (32756 is more than 29740). Euler's totient φ(29740) = 11888 numbers up to 29740 share no factor with it.
- 4
The digits of 29740 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29740 = 2^{2} \times 5 \times 1487 \]29740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 11888 |
| Square | 884467600 |
| Cube | 26304066424000 |
| Square root | 172.452892 (= 2√7435) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.974 × |
29740 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and forty |
| Binary (base 2) | 111010000101100 |
| Octal (base 8) | 72054 |
| Hexadecimal (base 16) | 742C |
| Base 3 | 1111210111 |
| As time | 29740 seconds = 8 h 15 min 40 s |
Is 29740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29740 ÷ 2 = 14870) | 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 | Yes (29740 ÷ 4 = 7435) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29740 ÷ 5 = 5948) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29740 ÷ 10 = 2974) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29740 a prime number?
No. 29740 = × 5 × 1487, so it is divisible by 2.
What are the factors of 29740?
1, 2, 4, 5, 10, 20, 1487, 2974, 5948, 7435, 14870, 29740.
What is 29740 in binary?
111010000101100 (hexadecimal 742C, octal 72054).
What is the square root of 29740?
About 172.4529, exactly 2√7435.
Is 29740 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 29740?
It is a composite number with 12 divisors.