The number 23973
23973 is a composite number with 8 divisors. Its prime factorisation is 3 × 61 × 131. Divisors (8): 1, 3, 61, 131, 183, 393, 7991, 23973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23973 is composite. Its prime factorisation is
- 3
The divisors add up to 32736; without 23973 itself that is 8763, so 23973 is deficient (8763 is less than 23973). Euler's totient φ(23973) = 15600 numbers up to 23973 share no factor with it.
- 4
The digits of 23973 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23973 = 3 \times 61 \times 131 \]
23973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 32736 |
| Euler totient φ(n) | 15600 |
| Square | 574704729 |
| Cube | 13777396468317 |
| Square root | 154.832167 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3973 × |
23973 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand nine hundred and seventy-three |
| Binary (base 2) | 101110110100101 |
| Octal (base 8) | 56645 |
| Hexadecimal (base 16) | 5DA5 |
| Base 3 | 1012212220 |
| As time | 23973 seconds = 6 h 39 min 33 s |
Is 23973 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 (23973 ÷ 3 = 7991) | 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 5) | 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 6) | 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 4) | 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 23973 a prime number?
No. 23973 = 3 × 61 × 131, so it is divisible by 3.
What are the factors of 23973?
1, 3, 61, 131, 183, 393, 7991, 23973.
What is 23973 in binary?
101110110100101 (hexadecimal 5DA5, octal 56645).
What is the square root of 23973?
About 154.8322.
Is 23973 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 23973?
It is a composite number with 8 divisors.