The number 47004
47004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3917. Divisors (12): 1, 2, 3, 4, 6, 12, 3917, 7834, 11751, 15668, 23502, 47004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47004 is composite. Its prime factorisation is
- 3
The divisors add up to 109704; without 47004 itself that is 62700, so 47004 is abundant (62700 is more than 47004). Euler's totient φ(47004) = 15664 numbers up to 47004 share no factor with it.
- 4
The digits of 47004 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47004 = 2^{2} \times 3 \times 3917 \]47004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109704 |
| Euler totient φ(n) | 15664 |
| Square | 2209376016 |
| Cube | 103849510256064 |
| Square root | 216.804059 (= 2√11751) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7004 × |
47004 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and four |
| Binary (base 2) | 1011011110011100 |
| Octal (base 8) | 133634 |
| Hexadecimal (base 16) | B79C |
| Base 3 | 2101110220 |
| As time | 47004 seconds = 13 h 3 min 24 s |
Is 47004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47004 ÷ 2 = 23502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47004 ÷ 3 = 15668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47004 ÷ 4 = 11751) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47004 ÷ 6 = 7834) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47004 ÷ 12 = 3917) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47004 a prime number?
No. 47004 = × 3 × 3917, so it is divisible by 2.
What are the factors of 47004?
1, 2, 3, 4, 6, 12, 3917, 7834, 11751, 15668, 23502, 47004.
What is 47004 in binary?
1011011110011100 (hexadecimal B79C, octal 133634).
What is the square root of 47004?
About 216.8041, exactly 2√11751.
Is 47004 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 47004?
It is a composite number with 12 divisors.