The number 24973
24973 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 113. Divisors (8): 1, 13, 17, 113, 221, 1469, 1921, 24973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24973 is composite. Its prime factorisation is
- 3
The divisors add up to 28728; without 24973 itself that is 3755, so 24973 is deficient (3755 is less than 24973). Euler's totient φ(24973) = 21504 numbers up to 24973 share no factor with it.
- 4
The digits of 24973 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 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24973 = 13 \times 17 \times 113 \]
24973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 28728 |
| Euler totient φ(n) | 21504 |
| Square | 623650729 |
| Cube | 15574429655317 |
| Square root | 158.028478 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 2.4973 × |
24973 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and seventy-three |
| Binary (base 2) | 110000110001101 |
| Octal (base 8) | 60615 |
| Hexadecimal (base 16) | 618D |
| Base 3 | 1021020221 |
| As time | 24973 seconds = 6 h 56 min 13 s |
Is 24973 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 | No (remainder 1) | 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 1) | 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 7) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24973 a prime number?
No. 24973 = 13 × 17 × 113, so it is divisible by 13.
What are the factors of 24973?
1, 13, 17, 113, 221, 1469, 1921, 24973.
What is 24973 in binary?
110000110001101 (hexadecimal 618D, octal 60615).
What is the square root of 24973?
About 158.0285.
Is 24973 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 24973?
It is a composite number with 8 divisors.