The number 29010
29010 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 967. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 967, 1934, 2901, 4835, 5802, 9670, 14505, 29010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29010: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
29010 is composite. Its prime factorisation is
- 3
The divisors add up to 69696; without 29010 itself that is 40686, so 29010 is abundant (40686 is more than 29010). Euler's totient φ(29010) = 7728 numbers up to 29010 share no factor with it.
- 4
The digits of 29010 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29010 = 2 \times 3 \times 5 \times 967 \]
29010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 69696 |
| Euler totient φ(n) | 7728 |
| Square | 841580100 |
| Cube | 24414238701000 |
| Square root | 170.323222 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 134 |
| Scientific notation | 2.901 × |
29010 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and ten |
| Binary (base 2) | 111000101010010 |
| Octal (base 8) | 70522 |
| Hexadecimal (base 16) | 7152 |
| Base 3 | 1110210110 |
| As time | 29010 seconds = 8 h 3 min 30 s |
Is 29010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29010 ÷ 2 = 14505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29010 ÷ 3 = 9670) | 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 (29010 ÷ 5 = 5802) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29010 ÷ 6 = 4835) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (29010 ÷ 10 = 2901) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29010 a prime number?
No. 29010 = 2 × 3 × 5 × 967, so it is divisible by 2.
What are the factors of 29010?
1, 2, 3, 5, 6, 10, 15, 30, 967, 1934, 2901, 4835, 5802, 9670, 14505, 29010.
What is 29010 in binary?
111000101010010 (hexadecimal 7152, octal 70522).
What is the square root of 29010?
About 170.3232.
Is 29010 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 29010?
29010 is a happy number: repeatedly adding the squares of its digits reaches 1.