The number 24138
24138 is a composite number with 20 divisors. Its prime factorisation is 2 × × 149. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 149, 162, 298, 447, 894, 1341, 2682 … 24138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24138: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
24138 is composite. Its prime factorisation is
- 3
The divisors add up to 54450; without 24138 itself that is 30312, so 24138 is abundant (30312 is more than 24138). Euler's totient φ(24138) = 7992 numbers up to 24138 share no factor with it.
- 4
The digits of 24138 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24138 = 2 \times 3^{4} \times 149 \]24138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 54450 |
| Euler totient φ(n) | 7992 |
| Square | 582643044 |
| Cube | 14063837796072 |
| Square root | 155.364089 (= 9√298) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4138 × |
24138 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and thirty-eight |
| Binary (base 2) | 101111001001010 |
| Octal (base 8) | 57112 |
| Hexadecimal (base 16) | 5E4A |
| Base 3 | 1020010000 |
| As time | 24138 seconds = 6 h 42 min 18 s |
Is 24138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24138 ÷ 2 = 12069) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24138 ÷ 3 = 8046) | 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 | Yes (24138 ÷ 6 = 4023) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (24138 ÷ 9 = 2682) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24138 a prime number?
No. 24138 = 2 × × 149, so it is divisible by 2.
What are the factors of 24138?
1, 2, 3, 6, 9, 18, 27, 54, 81, 149, 162, 298, 447, 894, 1341, 2682, 4023, 8046, 12069, 24138.
What is 24138 in binary?
101111001001010 (hexadecimal 5E4A, octal 57112).
What is the square root of 24138?
About 155.3641, exactly 9√298.
Is 24138 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24138?
24138 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.