The number 23673
23673 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 607. Divisors (8): 1, 3, 13, 39, 607, 1821, 7891, 23673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23673 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23673 is composite. Its prime factorisation is
- 3
The divisors add up to 34048; without 23673 itself that is 10375, so 23673 is deficient (10375 is less than 23673). Euler's totient φ(23673) = 14544 numbers up to 23673 share no factor with it.
- 4
The digits of 23673 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23673 = 3 \times 13 \times 607 \]
23673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 34048 |
| Euler totient φ(n) | 14544 |
| Square | 560410929 |
| Cube | 13266607922217 |
| Square root | 153.860326 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.3673 × |
23673 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand six hundred and seventy-three |
| Binary (base 2) | 101110001111001 |
| Octal (base 8) | 56171 |
| Hexadecimal (base 16) | 5C79 |
| Base 3 | 1012110210 |
| As time | 23673 seconds = 6 h 34 min 33 s |
Is 23673 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 (23673 ÷ 3 = 7891) | 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 6) | 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 1) | 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 1) | 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 23673 a prime number?
No. 23673 = 3 × 13 × 607, so it is divisible by 3.
What are the factors of 23673?
1, 3, 13, 39, 607, 1821, 7891, 23673.
What is 23673 in binary?
101110001111001 (hexadecimal 5C79, octal 56171).
What is the square root of 23673?
About 153.8603.
Is 23673 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 23673?
It is a composite number with 8 divisors.