The number 47002
47002 is a composite number with 8 divisors. Its prime factorisation is 2 × 71 × 331. Divisors (8): 1, 2, 71, 142, 331, 662, 23501, 47002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47002 is composite. Its prime factorisation is
- 3
The divisors add up to 71712; without 47002 itself that is 24710, so 47002 is deficient (24710 is less than 47002). Euler's totient φ(47002) = 23100 numbers up to 47002 share no factor with it.
- 4
The digits of 47002 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47002 = 2 \times 71 \times 331 \]
47002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71712 |
| Euler totient φ(n) | 23100 |
| Square | 2209188004 |
| Cube | 103836254564008 |
| Square root | 216.799446 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7002 × |
47002 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and two |
| Binary (base 2) | 1011011110011010 |
| Octal (base 8) | 133632 |
| Hexadecimal (base 16) | B79A |
| Base 3 | 2101110211 |
| As time | 47002 seconds = 13 h 3 min 22 s |
Is 47002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47002 ÷ 2 = 23501) | 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 | No (remainder 2) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 10) | 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 47002 a prime number?
No. 47002 = 2 × 71 × 331, so it is divisible by 2.
What are the factors of 47002?
1, 2, 71, 142, 331, 662, 23501, 47002.
What is 47002 in binary?
1011011110011010 (hexadecimal B79A, octal 133632).
What is the square root of 47002?
About 216.7994.
Is 47002 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 47002?
It is a composite number with 8 divisors.