The number 47973
47973 is a composite number with 4 divisors. Its prime factorisation is 3 × 15991. Divisors (4): 1, 3, 15991, 47973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47973: a semiprime: 3 × 15991, the product of two primes.
- 2
47973 is composite. Its prime factorisation is
- 3
The divisors add up to 63968; without 47973 itself that is 15995, so 47973 is deficient (15995 is less than 47973). Euler's totient φ(47973) = 31980 numbers up to 47973 share no factor with it.
- 4
The digits of 47973 add up to 30, 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
\[ 47973 = 3 \times 15991 \]
47973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 63968 |
| Euler totient φ(n) | 31980 |
| Square | 2301408729 |
| Cube | 110405480956317 |
| Square root | 219.027396 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7973 × |
47973 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and seventy-three |
| Binary (base 2) | 1011101101100101 |
| Octal (base 8) | 135545 |
| Hexadecimal (base 16) | BB65 |
| Base 3 | 2102210210 |
| As time | 47973 seconds = 13 h 19 min 33 s |
Is 47973 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 (47973 ÷ 3 = 15991) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | 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 5) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47973 a prime number?
No. 47973 = 3 × 15991, so it is divisible by 3.
What are the factors of 47973?
1, 3, 15991, 47973.
What is 47973 in binary?
1011101101100101 (hexadecimal BB65, octal 135545).
What is the square root of 47973?
About 219.0274.
Is 47973 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47973?
47973 is a semiprime: 3 × 15991, the product of two primes.