The number 47523
47523 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 73. Divisors (16): 1, 3, 7, 21, 31, 73, 93, 217, 219, 511, 651, 1533, 2263, 6789, 15841, 47523.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47523: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
47523 is composite. Its prime factorisation is
- 3
The divisors add up to 75776; without 47523 itself that is 28253, so 47523 is deficient (28253 is less than 47523). Euler's totient φ(47523) = 25920 numbers up to 47523 share no factor with it.
- 4
The digits of 47523 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47523 = 3 \times 7 \times 31 \times 73 \]
47523 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 75776 |
| Euler totient φ(n) | 25920 |
| Square | 2258435529 |
| Cube | 107327631644667 |
| Square root | 217.997706 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7523 × |
47523 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and twenty-three |
| Binary (base 2) | 1011100110100011 |
| Octal (base 8) | 134643 |
| Hexadecimal (base 16) | B9A3 |
| Base 3 | 2102012010 |
| As time | 47523 seconds = 13 h 12 min 3 s |
Is 47523 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47523 ÷ 3 = 15841) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47523 ÷ 7 = 6789) | 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 3) | 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 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47523 a prime number?
No. 47523 = 3 × 7 × 31 × 73, so it is divisible by 3.
What are the factors of 47523?
1, 3, 7, 21, 31, 73, 93, 217, 219, 511, 651, 1533, 2263, 6789, 15841, 47523.
What is 47523 in binary?
1011100110100011 (hexadecimal B9A3, octal 134643).
What is the square root of 47523?
About 217.9977.
Is 47523 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47523?
47523 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.