The number 47102
47102 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2141. Divisors (8): 1, 2, 11, 22, 2141, 4282, 23551, 47102.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47102: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47102 is composite. Its prime factorisation is
- 3
The divisors add up to 77112; without 47102 itself that is 30010, so 47102 is deficient (30010 is less than 47102). Euler's totient φ(47102) = 21400 numbers up to 47102 share no factor with it.
- 4
The digits of 47102 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47102 = 2 \times 11 \times 2141 \]
47102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 77112 |
| Euler totient φ(n) | 21400 |
| Square | 2218598404 |
| Cube | 104500422025208 |
| Square root | 217.029952 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.7102 × |
47102 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and two |
| Binary (base 2) | 1011011111111110 |
| Octal (base 8) | 133776 |
| Hexadecimal (base 16) | B7FE |
| Base 3 | 2101121112 |
| As time | 47102 seconds = 13 h 5 min 2 s |
Is 47102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47102 ÷ 2 = 23551) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47102 ÷ 11 = 4282) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47102 a prime number?
No. 47102 = 2 × 11 × 2141, so it is divisible by 2.
What are the factors of 47102?
1, 2, 11, 22, 2141, 4282, 23551, 47102.
What is 47102 in binary?
1011011111111110 (hexadecimal B7FE, octal 133776).
What is the square root of 47102?
About 217.0300.
Is 47102 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 47102?
47102 is a happy number: repeatedly adding the squares of its digits reaches 1.