The number 47012
47012 is a composite number with 24 divisors. Its prime factorisation is × 7 × 23 × 73. Divisors (24): 1, 2, 4, 7, 14, 23, 28, 46, 73, 92, 146, 161, 292, 322, 511, 644 … 47012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47012: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
47012 is composite. Its prime factorisation is
- 3
The divisors add up to 99456; without 47012 itself that is 52444, so 47012 is abundant (52444 is more than 47012). Euler's totient φ(47012) = 19008 numbers up to 47012 share no factor with it.
- 4
The digits of 47012 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47012 = 2^{2} \times 7 \times 23 \times 73 \]47012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99456 |
| Euler totient φ(n) | 19008 |
| Square | 2210128144 |
| Cube | 103902544305728 |
| Square root | 216.822508 (= 2√11753) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7012 × |
47012 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and twelve |
| Binary (base 2) | 1011011110100100 |
| Octal (base 8) | 133644 |
| Hexadecimal (base 16) | B7A4 |
| Base 3 | 2101111012 |
| As time | 47012 seconds = 13 h 3 min 32 s |
Is 47012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47012 ÷ 2 = 23506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47012 ÷ 4 = 11753) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47012 ÷ 7 = 6716) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47012 a prime number?
No. 47012 = × 7 × 23 × 73, so it is divisible by 2.
What are the factors of 47012?
1, 2, 4, 7, 14, 23, 28, 46, 73, 92, 146, 161, 292, 322, 511, 644, 1022, 1679, 2044, 3358, 6716, 11753, 23506, 47012.
What is 47012 in binary?
1011011110100100 (hexadecimal B7A4, octal 133644).
What is the square root of 47012?
About 216.8225, exactly 2√11753.
Is 47012 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 47012?
47012 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.