The number 23738
23738 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 13 × 83. Divisors (16): 1, 2, 11, 13, 22, 26, 83, 143, 166, 286, 913, 1079, 1826, 2158, 11869, 23738.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23738 is composite. Its prime factorisation is
- 3
The divisors add up to 42336; without 23738 itself that is 18598, so 23738 is deficient (18598 is less than 23738). Euler's totient φ(23738) = 9840 numbers up to 23738 share no factor with it.
- 4
The digits of 23738 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23738 = 2 \times 11 \times 13 \times 83 \]
23738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 42336 |
| Euler totient φ(n) | 9840 |
| Square | 563492644 |
| Cube | 13376188383272 |
| Square root | 154.071412 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3738 × |
23738 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand seven hundred and thirty-eight |
| Binary (base 2) | 101110010111010 |
| Octal (base 8) | 56272 |
| Hexadecimal (base 16) | 5CBA |
| Base 3 | 1012120012 |
| As time | 23738 seconds = 6 h 35 min 38 s |
Is 23738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23738 ÷ 2 = 11869) | 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 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (23738 ÷ 11 = 2158) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23738 a prime number?
No. 23738 = 2 × 11 × 13 × 83, so it is divisible by 2.
What are the factors of 23738?
1, 2, 11, 13, 22, 26, 83, 143, 166, 286, 913, 1079, 1826, 2158, 11869, 23738.
What is 23738 in binary?
101110010111010 (hexadecimal 5CBA, octal 56272).
What is the square root of 23738?
About 154.0714.
Is 23738 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 23738?
It is a composite number with 16 divisors.