The number 47016
47016 is a composite number with 24 divisors. Its prime factorisation is × × 653. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 653, 1306, 1959, 2612 … 47016.
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How to work it out
- 1
What is special about 47016: a Harshad number: divisible by its digit sum 18.
- 2
47016 is composite. Its prime factorisation is
- 3
The divisors add up to 127530; without 47016 itself that is 80514, so 47016 is abundant (80514 is more than 47016). Euler's totient φ(47016) = 15648 numbers up to 47016 share no factor with it.
- 4
The digits of 47016 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47016 = 2^{3} \times 3^{2} \times 653 \]47016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127530 |
| Euler totient φ(n) | 15648 |
| Square | 2210504256 |
| Cube | 103929068100096 |
| Square root | 216.831732 (= 6√1306) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7016 × |
47016 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and sixteen |
| Binary (base 2) | 1011011110101000 |
| Octal (base 8) | 133650 |
| Hexadecimal (base 16) | B7A8 |
| Base 3 | 2101111100 |
| As time | 47016 seconds = 13 h 3 min 36 s |
Is 47016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47016 ÷ 2 = 23508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47016 ÷ 3 = 15672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47016 ÷ 4 = 11754) | 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 (47016 ÷ 6 = 7836) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (47016 ÷ 8 = 5877) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47016 ÷ 9 = 5224) | 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 | Yes (47016 ÷ 12 = 3918) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47016 a prime number?
No. 47016 = × × 653, so it is divisible by 2.
What are the factors of 47016?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 653, 1306, 1959, 2612, 3918, 5224, 5877, 7836, 11754, 15672, 23508, 47016.
What is 47016 in binary?
1011011110101000 (hexadecimal B7A8, octal 133650).
What is the square root of 47016?
About 216.8317, exactly 6√1306.
Is 47016 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47016?
47016 is a Harshad number: divisible by its digit sum 18.