The number 23720
23720 is a composite number with 16 divisors. Its prime factorisation is × 5 × 593. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 593, 1186, 2372, 2965, 4744, 5930, 11860, 23720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23720 is composite. Its prime factorisation is
- 3
The divisors add up to 53460; without 23720 itself that is 29740, so 23720 is abundant (29740 is more than 23720). Euler's totient φ(23720) = 9472 numbers up to 23720 share no factor with it.
- 4
The digits of 23720 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23720 = 2^{3} \times 5 \times 593 \]23720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 53460 |
| Euler totient φ(n) | 9472 |
| Square | 562638400 |
| Cube | 13345782848000 |
| Square root | 154.012986 (= 2√5930) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.372 × |
23720 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand seven hundred and twenty |
| Binary (base 2) | 101110010101000 |
| Octal (base 8) | 56250 |
| Hexadecimal (base 16) | 5CA8 |
| Base 3 | 1012112112 |
| As time | 23720 seconds = 6 h 35 min 20 s |
Is 23720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23720 ÷ 2 = 11860) | 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 (23720 ÷ 4 = 5930) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23720 ÷ 5 = 4744) | 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 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 | Yes (23720 ÷ 8 = 2965) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23720 ÷ 10 = 2372) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23720 a prime number?
No. 23720 = × 5 × 593, so it is divisible by 2.
What are the factors of 23720?
1, 2, 4, 5, 8, 10, 20, 40, 593, 1186, 2372, 2965, 4744, 5930, 11860, 23720.
What is 23720 in binary?
101110010101000 (hexadecimal 5CA8, octal 56250).
What is the square root of 23720?
About 154.0130, exactly 2√5930.
Is 23720 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 23720?
It is a composite number with 16 divisors.