The number 47201
47201 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 613. Divisors (8): 1, 7, 11, 77, 613, 4291, 6743, 47201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47201: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47201 is composite. Its prime factorisation is
- 3
The divisors add up to 58944; without 47201 itself that is 11743, so 47201 is deficient (11743 is less than 47201). Euler's totient φ(47201) = 36720 numbers up to 47201 share no factor with it.
- 4
The digits of 47201 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47201 = 7 \times 11 \times 613 \]
47201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 58944 |
| Euler totient φ(n) | 36720 |
| Square | 2227934401 |
| Cube | 105160731661601 |
| Square root | 217.257911 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7201 × |
47201 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and one |
| Binary (base 2) | 1011100001100001 |
| Octal (base 8) | 134141 |
| Hexadecimal (base 16) | B861 |
| Base 3 | 2101202012 |
| As time | 47201 seconds = 13 h 6 min 41 s |
Is 47201 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47201 ÷ 7 = 6743) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47201 ÷ 11 = 4291) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47201 a prime number?
No. 47201 = 7 × 11 × 613, so it is divisible by 7.
What are the factors of 47201?
1, 7, 11, 77, 613, 4291, 6743, 47201.
What is 47201 in binary?
1011100001100001 (hexadecimal B861, octal 134141).
What is the square root of 47201?
About 217.2579.
Is 47201 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 47201?
47201 is a happy number: repeatedly adding the squares of its digits reaches 1.