The number 24102
24102 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 103. Divisors (24): 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 103, 117, 206, 234, 309, 618 … 24102.
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How to work it out
- 1
What is special about 24102: a Harshad number: divisible by its digit sum 9.
- 2
24102 is composite. Its prime factorisation is
- 3
The divisors add up to 56784; without 24102 itself that is 32682, so 24102 is abundant (32682 is more than 24102). Euler's totient φ(24102) = 7344 numbers up to 24102 share no factor with it.
- 4
The digits of 24102 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24102 = 2 \times 3^{2} \times 13 \times 103 \]24102 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 56784 |
| Euler totient φ(n) | 7344 |
| Square | 580906404 |
| Cube | 14001006149208 |
| Square root | 155.248188 (= 3√2678) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4102 × |
24102 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand one hundred and two |
| Binary (base 2) | 101111000100110 |
| Octal (base 8) | 57046 |
| Hexadecimal (base 16) | 5E26 |
| Base 3 | 1020001200 |
| As time | 24102 seconds = 6 h 41 min 42 s |
Is 24102 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24102 ÷ 2 = 12051) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24102 ÷ 3 = 8034) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (24102 ÷ 6 = 4017) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24102 ÷ 9 = 2678) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 24102 a prime number?
No. 24102 = 2 × × 13 × 103, so it is divisible by 2.
What are the factors of 24102?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 103, 117, 206, 234, 309, 618, 927, 1339, 1854, 2678, 4017, 8034, 12051, 24102.
What is 24102 in binary?
101111000100110 (hexadecimal 5E26, octal 57046).
What is the square root of 24102?
About 155.2482, exactly 3√2678.
Is 24102 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 24102?
24102 is a Harshad number: divisible by its digit sum 9.