The number 47346
47346 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 607. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 607, 1214, 1821, 3642, 7891, 15782, 23673, 47346.
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How to work it out
- 1
47346 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47346 is composite. Its prime factorisation is
- 3
The divisors add up to 102144; without 47346 itself that is 54798, so 47346 is abundant (54798 is more than 47346). Euler's totient φ(47346) = 14544 numbers up to 47346 share no factor with it.
- 4
The digits of 47346 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47346 = 2 \times 3 \times 13 \times 607 \]
47346 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 102144 |
| Euler totient φ(n) | 14544 |
| Square | 2241643716 |
| Cube | 106132863377736 |
| Square root | 217.591360 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7346 × |
47346 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and forty-six |
| Binary (base 2) | 1011100011110010 |
| Octal (base 8) | 134362 |
| Hexadecimal (base 16) | B8F2 |
| Base 3 | 2101221120 |
| As time | 47346 seconds = 13 h 9 min 6 s |
Is 47346 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47346 ÷ 2 = 23673) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47346 ÷ 3 = 15782) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47346 ÷ 6 = 7891) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 47346 a prime number?
No. 47346 = 2 × 3 × 13 × 607, so it is divisible by 2.
What are the factors of 47346?
1, 2, 3, 6, 13, 26, 39, 78, 607, 1214, 1821, 3642, 7891, 15782, 23673, 47346.
What is 47346 in binary?
1011100011110010 (hexadecimal B8F2, octal 134362).
What is the square root of 47346?
About 217.5914.
Is 47346 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47346?
It is a composite number with 16 divisors.