The number 47440
47440 is a composite number with 20 divisors. Its prime factorisation is × 5 × 593. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 593, 1186, 2372, 2965, 4744, 5930 … 47440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47440: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47440 is composite. Its prime factorisation is
- 3
The divisors add up to 110484; without 47440 itself that is 63044, so 47440 is abundant (63044 is more than 47440). Euler's totient φ(47440) = 18944 numbers up to 47440 share no factor with it.
- 4
The digits of 47440 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
\[ 47440 = 2^{4} \times 5 \times 593 \]47440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 110484 |
| Euler totient φ(n) | 18944 |
| Square | 2250553600 |
| Cube | 106766262784000 |
| Square root | 217.807254 (= 4√2965) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.744 × |
47440 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and forty |
| Binary (base 2) | 1011100101010000 |
| Octal (base 8) | 134520 |
| Hexadecimal (base 16) | B950 |
| Base 3 | 2102002001 |
| As time | 47440 seconds = 13 h 10 min 40 s |
Is 47440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47440 ÷ 2 = 23720) | 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 (47440 ÷ 4 = 11860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47440 ÷ 5 = 9488) | 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 1) | 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 (47440 ÷ 8 = 5930) | 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 | Yes (47440 ÷ 10 = 4744) | 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 47440 a prime number?
No. 47440 = × 5 × 593, so it is divisible by 2.
What are the factors of 47440?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 593, 1186, 2372, 2965, 4744, 5930, 9488, 11860, 23720, 47440.
What is 47440 in binary?
1011100101010000 (hexadecimal B950, octal 134520).
What is the square root of 47440?
About 217.8073, exactly 4√2965.
Is 47440 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47440?
47440 is a happy number: repeatedly adding the squares of its digits reaches 1.