The number 47490
47490 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1583. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1583, 3166, 4749, 7915, 9498, 15830, 23745, 47490.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47490 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47490 is composite. Its prime factorisation is
- 3
The divisors add up to 114048; without 47490 itself that is 66558, so 47490 is abundant (66558 is more than 47490). Euler's totient φ(47490) = 12656 numbers up to 47490 share no factor with it.
- 4
The digits of 47490 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47490 = 2 \times 3 \times 5 \times 1583 \]
47490 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114048 |
| Euler totient φ(n) | 12656 |
| Square | 2255300100 |
| Cube | 107104201749000 |
| Square root | 217.922004 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.749 × |
47490 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and ninety |
| Binary (base 2) | 1011100110000010 |
| Octal (base 8) | 134602 |
| Hexadecimal (base 16) | B982 |
| Base 3 | 2102010220 |
| As time | 47490 seconds = 13 h 11 min 30 s |
Is 47490 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47490 ÷ 2 = 23745) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47490 ÷ 3 = 15830) | 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 | Yes (47490 ÷ 5 = 9498) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47490 ÷ 6 = 7915) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47490 ÷ 10 = 4749) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47490 a prime number?
No. 47490 = 2 × 3 × 5 × 1583, so it is divisible by 2.
What are the factors of 47490?
1, 2, 3, 5, 6, 10, 15, 30, 1583, 3166, 4749, 7915, 9498, 15830, 23745, 47490.
What is 47490 in binary?
1011100110000010 (hexadecimal B982, octal 134602).
What is the square root of 47490?
About 217.9220.
Is 47490 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47490?
It is a composite number with 16 divisors.