The number 23672
23672 is a composite number with 16 divisors. Its prime factorisation is × 11 × 269. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 269, 538, 1076, 2152, 2959, 5918, 11836, 23672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23672 is composite. Its prime factorisation is
- 3
The divisors add up to 48600; without 23672 itself that is 24928, so 23672 is abundant (24928 is more than 23672). Euler's totient φ(23672) = 10720 numbers up to 23672 share no factor with it.
- 4
The digits of 23672 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23672 = 2^{3} \times 11 \times 269 \]23672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48600 |
| Euler totient φ(n) | 10720 |
| Square | 560363584 |
| Cube | 13264926760448 |
| Square root | 153.857077 (= 2√5918) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.3672 × |
23672 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand six hundred and seventy-two |
| Binary (base 2) | 101110001111000 |
| Octal (base 8) | 56170 |
| Hexadecimal (base 16) | 5C78 |
| Base 3 | 1012110202 |
| As time | 23672 seconds = 6 h 34 min 32 s |
Is 23672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23672 ÷ 2 = 11836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23672 ÷ 4 = 5918) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (23672 ÷ 8 = 2959) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (23672 ÷ 11 = 2152) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23672 a prime number?
No. 23672 = × 11 × 269, so it is divisible by 2.
What are the factors of 23672?
1, 2, 4, 8, 11, 22, 44, 88, 269, 538, 1076, 2152, 2959, 5918, 11836, 23672.
What is 23672 in binary?
101110001111000 (hexadecimal 5C78, octal 56170).
What is the square root of 23672?
About 153.8571, exactly 2√5918.
Is 23672 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 23672?
It is a composite number with 16 divisors.