The number 47972
47972 is a composite number with 12 divisors. Its prime factorisation is × 67 × 179. Divisors (12): 1, 2, 4, 67, 134, 179, 268, 358, 716, 11993, 23986, 47972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47972 is composite. Its prime factorisation is
- 3
The divisors add up to 85680; without 47972 itself that is 37708, so 47972 is deficient (37708 is less than 47972). Euler's totient φ(47972) = 23496 numbers up to 47972 share no factor with it.
- 4
The digits of 47972 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47972 = 2^{2} \times 67 \times 179 \]47972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85680 |
| Euler totient φ(n) | 23496 |
| Square | 2301312784 |
| Cube | 110398576874048 |
| Square root | 219.025113 (= 2√11993) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7972 × |
47972 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and seventy-two |
| Binary (base 2) | 1011101101100100 |
| Octal (base 8) | 135544 |
| Hexadecimal (base 16) | BB64 |
| Base 3 | 2102210202 |
| As time | 47972 seconds = 13 h 19 min 32 s |
Is 47972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47972 ÷ 2 = 23986) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47972 ÷ 4 = 11993) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47972 a prime number?
No. 47972 = × 67 × 179, so it is divisible by 2.
What are the factors of 47972?
1, 2, 4, 67, 134, 179, 268, 358, 716, 11993, 23986, 47972.
What is 47972 in binary?
1011101101100100 (hexadecimal BB64, octal 135544).
What is the square root of 47972?
About 219.0251, exactly 2√11993.
Is 47972 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47972?
It is a composite number with 12 divisors.