The number 24208
24208 is a composite number with 20 divisors. Its prime factorisation is × 17 × 89. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 89, 136, 178, 272, 356, 712, 1424, 1513 … 24208.
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How to work it out
- 1
What is special about 24208: a Harshad number: divisible by its digit sum 16.
- 2
24208 is composite. Its prime factorisation is
- 3
The divisors add up to 50220; without 24208 itself that is 26012, so 24208 is abundant (26012 is more than 24208). Euler's totient φ(24208) = 11264 numbers up to 24208 share no factor with it.
- 4
The digits of 24208 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 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24208 = 2^{4} \times 17 \times 89 \]24208 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 50220 |
| Euler totient φ(n) | 11264 |
| Square | 586027264 |
| Cube | 14186548006912 |
| Square root | 155.589203 (= 4√1513) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.4208 × |
24208 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred and eight |
| Binary (base 2) | 101111010010000 |
| Octal (base 8) | 57220 |
| Hexadecimal (base 16) | 5E90 |
| Base 3 | 1020012121 |
| As time | 24208 seconds = 6 h 43 min 28 s |
Is 24208 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24208 ÷ 2 = 12104) | 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 (24208 ÷ 4 = 6052) | 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 4) | 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 | Yes (24208 ÷ 8 = 3026) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 24208 a prime number?
No. 24208 = × 17 × 89, so it is divisible by 2.
What are the factors of 24208?
1, 2, 4, 8, 16, 17, 34, 68, 89, 136, 178, 272, 356, 712, 1424, 1513, 3026, 6052, 12104, 24208.
What is 24208 in binary?
101111010010000 (hexadecimal 5E90, octal 57220).
What is the square root of 24208?
About 155.5892, exactly 4√1513.
Is 24208 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 24208?
24208 is a Harshad number: divisible by its digit sum 16.