The number 47340
47340 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 263. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 47340.
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How to work it out
- 1
What is special about 47340: a Harshad number: divisible by its digit sum 18.
- 2
47340 is composite. Its prime factorisation is
- 3
The divisors add up to 144144; without 47340 itself that is 96804, so 47340 is abundant (96804 is more than 47340). Euler's totient φ(47340) = 12576 numbers up to 47340 share no factor with it.
- 4
The digits of 47340 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47340 = 2^{2} \times 3^{2} \times 5 \times 263 \]47340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 144144 |
| Euler totient φ(n) | 12576 |
| Square | 2241075600 |
| Cube | 106092518904000 |
| Square root | 217.577572 (= 6√1315) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.734 × |
47340 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and forty |
| Binary (base 2) | 1011100011101100 |
| Octal (base 8) | 134354 |
| Hexadecimal (base 16) | B8EC |
| Base 3 | 2101221100 |
| As time | 47340 seconds = 13 h 9 min 0 s |
Is 47340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47340 ÷ 2 = 23670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47340 ÷ 3 = 15780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47340 ÷ 4 = 11835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47340 ÷ 5 = 9468) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47340 ÷ 6 = 7890) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47340 ÷ 9 = 5260) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47340 ÷ 10 = 4734) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47340 ÷ 12 = 3945) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47340 a prime number?
No. 47340 = × × 5 × 263, so it is divisible by 2.
What are the factors of 47340?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 263, 526, 789, 1052, 1315, 1578, 2367, 2630, 3156, 3945, 4734, 5260, 7890, 9468, 11835, 15780, 23670, 47340.
What is 47340 in binary?
1011100011101100 (hexadecimal B8EC, octal 134354).
What is the square root of 47340?
About 217.5776, exactly 6√1315.
Is 47340 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47340?
47340 is a Harshad number: divisible by its digit sum 18.