The number 47740
47740 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 11 × 31. Divisors (48): 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 31, 35, 44, 55, 62 … 47740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47740: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.
- 2
47740 is composite. Its prime factorisation is
- 3
The divisors add up to 129024; without 47740 itself that is 81284, so 47740 is abundant (81284 is more than 47740). Euler's totient φ(47740) = 14400 numbers up to 47740 share no factor with it.
- 4
The digits of 47740 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47740 = 2^{2} \times 5 \times 7 \times 11 \times 31 \]47740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 129024 |
| Euler totient φ(n) | 14400 |
| Square | 2279107600 |
| Cube | 108804596824000 |
| Square root | 218.494851 (= 2√11935) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.774 × |
47740 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and forty |
| Binary (base 2) | 1011101001111100 |
| Octal (base 8) | 135174 |
| Hexadecimal (base 16) | BA7C |
| Base 3 | 2102111011 |
| As time | 47740 seconds = 13 h 15 min 40 s |
Is 47740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47740 ÷ 2 = 23870) | 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 (47740 ÷ 4 = 11935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47740 ÷ 5 = 9548) | 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 | Yes (47740 ÷ 7 = 6820) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47740 ÷ 10 = 4774) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47740 ÷ 11 = 4340) | 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 47740 a prime number?
No. 47740 = × 5 × 7 × 11 × 31, so it is divisible by 2.
What are the factors of 47740?
1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 31, 35, 44, 55, 62, 70, 77, 110, 124, 140, 154, 155, 217, 220, 308, 310, 341, 385, 434, 620, 682, 770, 868, 1085, 1364, 1540, 1705, 2170, 2387, 3410, 4340, 4774, 6820, 9548, 11935, 23870, 47740.
What is 47740 in binary?
1011101001111100 (hexadecimal BA7C, octal 135174).
What is the square root of 47740?
About 218.4949, exactly 2√11935.
Is 47740 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47740?
47740 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 22.