The number 47700
47700 is a composite number with 54 divisors. Its prime factorisation is × × × 53. Divisors (54): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45 … 47700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47700: a Harshad number: divisible by its digit sum 18.
- 2
47700 is composite. Its prime factorisation is
- 3
The divisors add up to 152334; without 47700 itself that is 104634, so 47700 is abundant (104634 is more than 47700). Euler's totient φ(47700) = 12480 numbers up to 47700 share no factor with it.
- 4
The digits of 47700 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47700 = 2^{2} \times 3^{2} \times 5^{2} \times 53 \]47700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 54 |
| Sum of divisors | 152334 |
| Euler totient φ(n) | 12480 |
| Square | 2275290000 |
| Cube | 108531333000000 |
| Square root | 218.403297 (= 30√53) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.77 × |
47700 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred |
| Binary (base 2) | 1011101001010100 |
| Octal (base 8) | 135124 |
| Hexadecimal (base 16) | BA54 |
| Base 3 | 2102102200 |
| As time | 47700 seconds = 13 h 15 min 0 s |
Is 47700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47700 ÷ 2 = 23850) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47700 ÷ 3 = 15900) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47700 ÷ 4 = 11925) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47700 ÷ 5 = 9540) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47700 ÷ 6 = 7950) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47700 ÷ 9 = 5300) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47700 ÷ 10 = 4770) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47700 ÷ 12 = 3975) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47700 a prime number?
No. 47700 = × × × 53, so it is divisible by 2.
What are the factors of 47700?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 53, 60, 75, 90, 100, 106, 150, 159, 180, 212, 225, 265, 300, 318, 450, 477, 530, 636, 795, 900, 954, 1060, 1325, 1590, 1908, 2385, 2650, 3180, 3975, 4770, 5300, 7950, 9540, 11925, 15900, 23850, 47700.
What is 47700 in binary?
1011101001010100 (hexadecimal BA54, octal 135124).
What is the square root of 47700?
About 218.4033, exactly 30√53.
Is 47700 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47700?
47700 is a Harshad number: divisible by its digit sum 18.