The number 29835
29835 is a composite number with 32 divisors. Its prime factorisation is × 5 × 13 × 17. Divisors (32): 1, 3, 5, 9, 13, 15, 17, 27, 39, 45, 51, 65, 85, 117, 135, 153 … 29835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29835: a Harshad number: divisible by its digit sum 27.
- 2
29835 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 29835 itself that is 30645, so 29835 is abundant (30645 is more than 29835). Euler's totient φ(29835) = 13824 numbers up to 29835 share no factor with it.
- 4
The digits of 29835 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29835 = 3^{3} \times 5 \times 13 \times 17 \]29835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 13824 |
| Square | 890127225 |
| Cube | 26556945757875 |
| Square root | 172.728110 (= 3√3315) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9835 × |
29835 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and thirty-five |
| Binary (base 2) | 111010010001011 |
| Octal (base 8) | 72213 |
| Hexadecimal (base 16) | 748B |
| Base 3 | 1111221000 |
| As time | 29835 seconds = 8 h 17 min 15 s |
Is 29835 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29835 ÷ 3 = 9945) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29835 ÷ 5 = 5967) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29835 ÷ 9 = 3315) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29835 a prime number?
No. 29835 = × 5 × 13 × 17, so it is divisible by 3.
What are the factors of 29835?
1, 3, 5, 9, 13, 15, 17, 27, 39, 45, 51, 65, 85, 117, 135, 153, 195, 221, 255, 351, 459, 585, 663, 765, 1105, 1755, 1989, 2295, 3315, 5967, 9945, 29835.
What is 29835 in binary?
111010010001011 (hexadecimal 748B, octal 72213).
What is the square root of 29835?
About 172.7281, exactly 3√3315.
Is 29835 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29835?
29835 is a Harshad number: divisible by its digit sum 27.