The number 47770
47770 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 17 × 281. Divisors (16): 1, 2, 5, 10, 17, 34, 85, 170, 281, 562, 1405, 2810, 4777, 9554, 23885, 47770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47770 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47770 is composite. Its prime factorisation is
- 3
The divisors add up to 91368; without 47770 itself that is 43598, so 47770 is deficient (43598 is less than 47770). Euler's totient φ(47770) = 17920 numbers up to 47770 share no factor with it.
- 4
The digits of 47770 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47770 = 2 \times 5 \times 17 \times 281 \]
47770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91368 |
| Euler totient φ(n) | 17920 |
| Square | 2281972900 |
| Cube | 109009845433000 |
| Square root | 218.563492 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.777 × |
47770 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and seventy |
| Binary (base 2) | 1011101010011010 |
| Octal (base 8) | 135232 |
| Hexadecimal (base 16) | BA9A |
| Base 3 | 2102112021 |
| As time | 47770 seconds = 13 h 16 min 10 s |
Is 47770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47770 ÷ 2 = 23885) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47770 ÷ 5 = 9554) | 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 2) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47770 ÷ 10 = 4777) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47770 a prime number?
No. 47770 = 2 × 5 × 17 × 281, so it is divisible by 2.
What are the factors of 47770?
1, 2, 5, 10, 17, 34, 85, 170, 281, 562, 1405, 2810, 4777, 9554, 23885, 47770.
What is 47770 in binary?
1011101010011010 (hexadecimal BA9A, octal 135232).
What is the square root of 47770?
About 218.5635.
Is 47770 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47770?
It is a composite number with 16 divisors.