The number 47214
47214 is a composite number with 24 divisors. Its prime factorisation is 2 × × 43 × 61. Divisors (24): 1, 2, 3, 6, 9, 18, 43, 61, 86, 122, 129, 183, 258, 366, 387, 549 … 47214.
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How to work it out
- 1
What is special about 47214: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
47214 is composite. Its prime factorisation is
- 3
The divisors add up to 106392; without 47214 itself that is 59178, so 47214 is abundant (59178 is more than 47214). Euler's totient φ(47214) = 15120 numbers up to 47214 share no factor with it.
- 4
The digits of 47214 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
\[ 47214 = 2 \times 3^{2} \times 43 \times 61 \]47214 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 106392 |
| Euler totient φ(n) | 15120 |
| Square | 2229161796 |
| Cube | 105247645036344 |
| Square root | 217.287828 (= 3√5246) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7214 × |
47214 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and fourteen |
| Binary (base 2) | 1011100001101110 |
| Octal (base 8) | 134156 |
| Hexadecimal (base 16) | B86E |
| Base 3 | 2101202200 |
| As time | 47214 seconds = 13 h 6 min 54 s |
Is 47214 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47214 ÷ 2 = 23607) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47214 ÷ 3 = 15738) | 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 (47214 ÷ 6 = 7869) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47214 ÷ 9 = 5246) | 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 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 47214 a prime number?
No. 47214 = 2 × × 43 × 61, so it is divisible by 2.
What are the factors of 47214?
1, 2, 3, 6, 9, 18, 43, 61, 86, 122, 129, 183, 258, 366, 387, 549, 774, 1098, 2623, 5246, 7869, 15738, 23607, 47214.
What is 47214 in binary?
1011100001101110 (hexadecimal B86E, octal 134156).
What is the square root of 47214?
About 217.2878, exactly 3√5246.
Is 47214 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47214?
47214 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.