The number 29240
29240 is a composite number with 32 divisors. Its prime factorisation is × 5 × 17 × 43. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 43, 68, 85, 86, 136, 170 … 29240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29240: a Harshad number: divisible by its digit sum 17.
- 2
29240 is composite. Its prime factorisation is
- 3
The divisors add up to 71280; without 29240 itself that is 42040, so 29240 is abundant (42040 is more than 29240). Euler's totient φ(29240) = 10752 numbers up to 29240 share no factor with it.
- 4
The digits of 29240 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29240 = 2^{3} \times 5 \times 17 \times 43 \]29240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 71280 |
| Euler totient φ(n) | 10752 |
| Square | 854977600 |
| Cube | 24999545024000 |
| Square root | 170.997076 (= 2√7310) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.924 × |
29240 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand two hundred and forty |
| Binary (base 2) | 111001000111000 |
| Octal (base 8) | 71070 |
| Hexadecimal (base 16) | 7238 |
| Base 3 | 1111002222 |
| As time | 29240 seconds = 8 h 7 min 20 s |
Is 29240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29240 ÷ 2 = 14620) | 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 | Yes (29240 ÷ 4 = 7310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29240 ÷ 5 = 5848) | 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 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 | Yes (29240 ÷ 8 = 3655) | 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 | Yes (29240 ÷ 10 = 2924) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29240 a prime number?
No. 29240 = × 5 × 17 × 43, so it is divisible by 2.
What are the factors of 29240?
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 43, 68, 85, 86, 136, 170, 172, 215, 340, 344, 430, 680, 731, 860, 1462, 1720, 2924, 3655, 5848, 7310, 14620, 29240.
What is 29240 in binary?
111001000111000 (hexadecimal 7238, octal 71070).
What is the square root of 29240?
About 170.9971, exactly 2√7310.
Is 29240 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 29240?
29240 is a Harshad number: divisible by its digit sum 17.