The number 47604
47604 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3967. Divisors (12): 1, 2, 3, 4, 6, 12, 3967, 7934, 11901, 15868, 23802, 47604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47604 is composite. Its prime factorisation is
- 3
The divisors add up to 111104; without 47604 itself that is 63500, so 47604 is abundant (63500 is more than 47604). Euler's totient φ(47604) = 15864 numbers up to 47604 share no factor with it.
- 4
The digits of 47604 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47604 = 2^{2} \times 3 \times 3967 \]47604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 111104 |
| Euler totient φ(n) | 15864 |
| Square | 2266140816 |
| Cube | 107877367404864 |
| Square root | 218.183409 (= 2√11901) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7604 × |
47604 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and four |
| Binary (base 2) | 1011100111110100 |
| Octal (base 8) | 134764 |
| Hexadecimal (base 16) | B9F4 |
| Base 3 | 2102022010 |
| As time | 47604 seconds = 13 h 13 min 24 s |
Is 47604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47604 ÷ 2 = 23802) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47604 ÷ 3 = 15868) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47604 ÷ 4 = 11901) | 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 (47604 ÷ 6 = 7934) | 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 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47604 ÷ 12 = 3967) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47604 a prime number?
No. 47604 = × 3 × 3967, so it is divisible by 2.
What are the factors of 47604?
1, 2, 3, 4, 6, 12, 3967, 7934, 11901, 15868, 23802, 47604.
What is 47604 in binary?
1011100111110100 (hexadecimal B9F4, octal 134764).
What is the square root of 47604?
About 218.1834, exactly 2√11901.
Is 47604 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47604?
It is a composite number with 12 divisors.