The number 47334
47334 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × × 23. Divisors (32): 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161 … 47334.
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How to work it out
- 1
What is special about 47334: a Harshad number: divisible by its digit sum 21.
- 2
47334 is composite. Its prime factorisation is
- 3
The divisors add up to 115200; without 47334 itself that is 67866, so 47334 is abundant (67866 is more than 47334). Euler's totient φ(47334) = 12936 numbers up to 47334 share no factor with it.
- 4
The digits of 47334 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47334 = 2 \times 3 \times 7^{3} \times 23 \]47334 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 115200 |
| Euler totient φ(n) | 12936 |
| Square | 2240507556 |
| Cube | 106052184655704 |
| Square root | 217.563784 (= 7√966) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7334 × |
47334 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and thirty-four |
| Binary (base 2) | 1011100011100110 |
| Octal (base 8) | 134346 |
| Hexadecimal (base 16) | B8E6 |
| Base 3 | 2101221010 |
| As time | 47334 seconds = 13 h 8 min 54 s |
Is 47334 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47334 ÷ 2 = 23667) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47334 ÷ 3 = 15778) | 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 (47334 ÷ 6 = 7889) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47334 ÷ 7 = 6762) | 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 6) | 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 | No (remainder 4) | 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 47334 a prime number?
No. 47334 = 2 × 3 × × 23, so it is divisible by 2.
What are the factors of 47334?
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 49, 69, 98, 138, 147, 161, 294, 322, 343, 483, 686, 966, 1029, 1127, 2058, 2254, 3381, 6762, 7889, 15778, 23667, 47334.
What is 47334 in binary?
1011100011100110 (hexadecimal B8E6, octal 134346).
What is the square root of 47334?
About 217.5638, exactly 7√966.
Is 47334 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47334?
47334 is a Harshad number: divisible by its digit sum 21.