The number 38973
38973 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1181. Divisors (8): 1, 3, 11, 33, 1181, 3543, 12991, 38973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38973 is composite. Its prime factorisation is
- 3
The divisors add up to 56736; without 38973 itself that is 17763, so 38973 is deficient (17763 is less than 38973). Euler's totient φ(38973) = 23600 numbers up to 38973 share no factor with it.
- 4
The digits of 38973 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38973 = 3 \times 11 \times 1181 \]
38973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 56736 |
| Euler totient φ(n) | 23600 |
| Square | 1518894729 |
| Cube | 59195884273317 |
| Square root | 197.415805 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8973 × |
38973 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand nine hundred and seventy-three |
| Binary (base 2) | 1001100000111101 |
| Octal (base 8) | 114075 |
| Hexadecimal (base 16) | 983D |
| Base 3 | 1222110110 |
| As time | 38973 seconds = 10 h 49 min 33 s |
Is 38973 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 (38973 ÷ 3 = 12991) | 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 4) | 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 | Yes (38973 ÷ 11 = 3543) | 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 38973 a prime number?
No. 38973 = 3 × 11 × 1181, so it is divisible by 3.
What are the factors of 38973?
1, 3, 11, 33, 1181, 3543, 12991, 38973.
What is 38973 in binary?
1001100000111101 (hexadecimal 983D, octal 114075).
What is the square root of 38973?
About 197.4158.
Is 38973 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 38973?
It is a composite number with 8 divisors.