The number 47100
47100 is a composite number with 36 divisors. Its prime factorisation is × 3 × × 157. Divisors (36): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100 … 47100.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47100: a Harshad number: divisible by its digit sum 12.
- 2
47100 is composite. Its prime factorisation is
- 3
The divisors add up to 137144; without 47100 itself that is 90044, so 47100 is abundant (90044 is more than 47100). Euler's totient φ(47100) = 12480 numbers up to 47100 share no factor with it.
- 4
The digits of 47100 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47100 = 2^{2} \times 3 \times 5^{2} \times 157 \]47100 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 137144 |
| Euler totient φ(n) | 12480 |
| Square | 2218410000 |
| Cube | 104487111000000 |
| Square root | 217.025344 (= 10√471) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.71 × |
47100 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred |
| Binary (base 2) | 1011011111111100 |
| Octal (base 8) | 133774 |
| Hexadecimal (base 16) | B7FC |
| Base 3 | 2101121110 |
| As time | 47100 seconds = 13 h 5 min 0 s |
Is 47100 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47100 ÷ 2 = 23550) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47100 ÷ 3 = 15700) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47100 ÷ 4 = 11775) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47100 ÷ 5 = 9420) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47100 ÷ 6 = 7850) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47100 ÷ 10 = 4710) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47100 ÷ 12 = 3925) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47100 a prime number?
No. 47100 = × 3 × × 157, so it is divisible by 2.
What are the factors of 47100?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 157, 300, 314, 471, 628, 785, 942, 1570, 1884, 2355, 3140, 3925, 4710, 7850, 9420, 11775, 15700, 23550, 47100.
What is 47100 in binary?
1011011111111100 (hexadecimal B7FC, octal 133774).
What is the square root of 47100?
About 217.0253, exactly 10√471.
Is 47100 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 47100?
47100 is a Harshad number: divisible by its digit sum 12.