The number 47044
47044 is a composite number with 12 divisors. Its prime factorisation is × 19 × 619. Divisors (12): 1, 2, 4, 19, 38, 76, 619, 1238, 2476, 11761, 23522, 47044.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47044: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.
- 2
47044 is composite. Its prime factorisation is
- 3
The divisors add up to 86800; without 47044 itself that is 39756, so 47044 is deficient (39756 is less than 47044). Euler's totient φ(47044) = 22248 numbers up to 47044 share no factor with it.
- 4
The digits of 47044 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47044 = 2^{2} \times 19 \times 619 \]47044 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 86800 |
| Euler totient φ(n) | 22248 |
| Square | 2213137936 |
| Cube | 104114861061184 |
| Square root | 216.896289 (= 2√11761) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7044 × |
47044 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and forty-four |
| Binary (base 2) | 1011011111000100 |
| Octal (base 8) | 133704 |
| Hexadecimal (base 16) | B7C4 |
| Base 3 | 2101112101 |
| As time | 47044 seconds = 13 h 4 min 4 s |
Is 47044 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47044 ÷ 2 = 23522) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47044 ÷ 4 = 11761) | 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 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47044 a prime number?
No. 47044 = × 19 × 619, so it is divisible by 2.
What are the factors of 47044?
1, 2, 4, 19, 38, 76, 619, 1238, 2476, 11761, 23522, 47044.
What is 47044 in binary?
1011011111000100 (hexadecimal B7C4, octal 133704).
What is the square root of 47044?
About 216.8963, exactly 2√11761.
Is 47044 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47044?
47044 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 19.