The number 47034
47034 is a composite number with 32 divisors. Its prime factorisation is 2 × × 13 × 67. Divisors (32): 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 67, 78, 117, 134, 201 … 47034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47034: a Harshad number: divisible by its digit sum 18.
- 2
47034 is composite. Its prime factorisation is
- 3
The divisors add up to 114240; without 47034 itself that is 67206, so 47034 is abundant (67206 is more than 47034). Euler's totient φ(47034) = 14256 numbers up to 47034 share no factor with it.
- 4
The digits of 47034 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47034 = 2 \times 3^{3} \times 13 \times 67 \]47034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 114240 |
| Euler totient φ(n) | 14256 |
| Square | 2212197156 |
| Cube | 104048481035304 |
| Square root | 216.873235 (= 3√5226) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7034 × |
47034 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and thirty-four |
| Binary (base 2) | 1011011110111010 |
| Octal (base 8) | 133672 |
| Hexadecimal (base 16) | B7BA |
| Base 3 | 2101112000 |
| As time | 47034 seconds = 13 h 3 min 54 s |
Is 47034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47034 ÷ 2 = 23517) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47034 ÷ 3 = 15678) | 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 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47034 ÷ 6 = 7839) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47034 ÷ 9 = 5226) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 47034 a prime number?
No. 47034 = 2 × × 13 × 67, so it is divisible by 2.
What are the factors of 47034?
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 67, 78, 117, 134, 201, 234, 351, 402, 603, 702, 871, 1206, 1742, 1809, 2613, 3618, 5226, 7839, 15678, 23517, 47034.
What is 47034 in binary?
1011011110111010 (hexadecimal B7BA, octal 133672).
What is the square root of 47034?
About 216.8732, exactly 3√5226.
Is 47034 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47034?
47034 is a Harshad number: divisible by its digit sum 18.