The number 47572
47572 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1699. Divisors (12): 1, 2, 4, 7, 14, 28, 1699, 3398, 6796, 11893, 23786, 47572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47572 is composite. Its prime factorisation is
- 3
The divisors add up to 95200; without 47572 itself that is 47628, so 47572 is abundant (47628 is more than 47572). Euler's totient φ(47572) = 20376 numbers up to 47572 share no factor with it.
- 4
The digits of 47572 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47572 = 2^{2} \times 7 \times 1699 \]47572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 95200 |
| Euler totient φ(n) | 20376 |
| Square | 2263095184 |
| Cube | 107659964093248 |
| Square root | 218.110064 (= 2√11893) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7572 × |
47572 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and seventy-two |
| Binary (base 2) | 1011100111010100 |
| Octal (base 8) | 134724 |
| Hexadecimal (base 16) | B9D4 |
| Base 3 | 2102020221 |
| As time | 47572 seconds = 13 h 12 min 52 s |
Is 47572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47572 ÷ 2 = 23786) | 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 | Yes (47572 ÷ 4 = 11893) | 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 | Yes (47572 ÷ 7 = 6796) | 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 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47572 a prime number?
No. 47572 = × 7 × 1699, so it is divisible by 2.
What are the factors of 47572?
1, 2, 4, 7, 14, 28, 1699, 3398, 6796, 11893, 23786, 47572.
What is 47572 in binary?
1011100111010100 (hexadecimal B9D4, octal 134724).
What is the square root of 47572?
About 218.1101, exactly 2√11893.
Is 47572 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47572?
It is a composite number with 12 divisors.