The number 24348
24348 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2029. Divisors (12): 1, 2, 3, 4, 6, 12, 2029, 4058, 6087, 8116, 12174, 24348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24348: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
24348 is composite. Its prime factorisation is
- 3
The divisors add up to 56840; without 24348 itself that is 32492, so 24348 is abundant (32492 is more than 24348). Euler's totient φ(24348) = 8112 numbers up to 24348 share no factor with it.
- 4
The digits of 24348 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24348 = 2^{2} \times 3 \times 2029 \]24348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56840 |
| Euler totient φ(n) | 8112 |
| Square | 592825104 |
| Cube | 14434105632192 |
| Square root | 156.038457 (= 2√6087) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4348 × |
24348 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and forty-eight |
| Binary (base 2) | 101111100011100 |
| Octal (base 8) | 57434 |
| Hexadecimal (base 16) | 5F1C |
| Base 3 | 1020101210 |
| As time | 24348 seconds = 6 h 45 min 48 s |
Is 24348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24348 ÷ 2 = 12174) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24348 ÷ 3 = 8116) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24348 ÷ 4 = 6087) | 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 (24348 ÷ 6 = 4058) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24348 ÷ 12 = 2029) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24348 a prime number?
No. 24348 = × 3 × 2029, so it is divisible by 2.
What are the factors of 24348?
1, 2, 3, 4, 6, 12, 2029, 4058, 6087, 8116, 12174, 24348.
What is 24348 in binary?
101111100011100 (hexadecimal 5F1C, octal 57434).
What is the square root of 24348?
About 156.0385, exactly 2√6087.
Is 24348 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24348?
24348 is a happy number: repeatedly adding the squares of its digits reaches 1.