The number 23740
23740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1187. Divisors (12): 1, 2, 4, 5, 10, 20, 1187, 2374, 4748, 5935, 11870, 23740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23740 is composite. Its prime factorisation is
- 3
The divisors add up to 49896; without 23740 itself that is 26156, so 23740 is abundant (26156 is more than 23740). Euler's totient φ(23740) = 9488 numbers up to 23740 share no factor with it.
- 4
The digits of 23740 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23740 = 2^{2} \times 5 \times 1187 \]23740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 49896 |
| Euler totient φ(n) | 9488 |
| Square | 563587600 |
| Cube | 13379569624000 |
| Square root | 154.077902 (= 2√5935) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.374 × |
23740 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand seven hundred and forty |
| Binary (base 2) | 101110010111100 |
| Octal (base 8) | 56274 |
| Hexadecimal (base 16) | 5CBC |
| Base 3 | 1012120021 |
| As time | 23740 seconds = 6 h 35 min 40 s |
Is 23740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23740 ÷ 2 = 11870) | 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 | Yes (23740 ÷ 4 = 5935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23740 ÷ 5 = 4748) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 | Yes (23740 ÷ 10 = 2374) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23740 a prime number?
No. 23740 = × 5 × 1187, so it is divisible by 2.
What are the factors of 23740?
1, 2, 4, 5, 10, 20, 1187, 2374, 4748, 5935, 11870, 23740.
What is 23740 in binary?
101110010111100 (hexadecimal 5CBC, octal 56274).
What is the square root of 23740?
About 154.0779, exactly 2√5935.
Is 23740 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 23740?
It is a composite number with 12 divisors.