The number 29250
29250 is a composite number with 48 divisors. Its prime factorisation is 2 × × × 13. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50 … 29250.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29250: a Harshad number: divisible by its digit sum 18.
- 2
29250 is composite. Its prime factorisation is
- 3
The divisors add up to 85176; without 29250 itself that is 55926, so 29250 is abundant (55926 is more than 29250). Euler's totient φ(29250) = 7200 numbers up to 29250 share no factor with it.
- 4
The digits of 29250 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29250 = 2 \times 3^{2} \times 5^{3} \times 13 \]29250 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 85176 |
| Euler totient φ(n) | 7200 |
| Square | 855562500 |
| Cube | 25025203125000 |
| Square root | 171.026314 (= 15√130) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.925 × |
29250 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand two hundred and fifty |
| Binary (base 2) | 111001001000010 |
| Octal (base 8) | 71102 |
| Hexadecimal (base 16) | 7242 |
| Base 3 | 1111010100 |
| As time | 29250 seconds = 8 h 7 min 30 s |
Is 29250 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29250 ÷ 2 = 14625) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29250 ÷ 3 = 9750) | 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 | Yes (29250 ÷ 5 = 5850) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29250 ÷ 6 = 4875) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29250 ÷ 9 = 3250) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29250 ÷ 10 = 2925) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 29250 a prime number?
No. 29250 = 2 × × × 13, so it is divisible by 2.
What are the factors of 29250?
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 25, 26, 30, 39, 45, 50, 65, 75, 78, 90, 117, 125, 130, 150, 195, 225, 234, 250, 325, 375, 390, 450, 585, 650, 750, 975, 1125, 1170, 1625, 1950, 2250, 2925, 3250, 4875, 5850, 9750, 14625, 29250.
What is 29250 in binary?
111001001000010 (hexadecimal 7242, octal 71102).
What is the square root of 29250?
About 171.0263, exactly 15√130.
Is 29250 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29250?
29250 is a Harshad number: divisible by its digit sum 18.