The number 24201
24201 is a composite number with 6 divisors. Its prime factorisation is × 2689. Divisors (6): 1, 3, 9, 2689, 8067, 24201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24201: a Harshad number: divisible by its digit sum 9.
- 2
24201 is composite. Its prime factorisation is
- 3
The divisors add up to 34970; without 24201 itself that is 10769, so 24201 is deficient (10769 is less than 24201). Euler's totient φ(24201) = 16128 numbers up to 24201 share no factor with it.
- 4
The digits of 24201 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 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24201 = 3^{2} \times 2689 \]24201 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 34970 |
| Euler totient φ(n) | 16128 |
| Square | 585688401 |
| Cube | 14174244992601 |
| Square root | 155.566706 (= 3√2689) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4201 × |
24201 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand two hundred and one |
| Binary (base 2) | 101111010001001 |
| Octal (base 8) | 57211 |
| Hexadecimal (base 16) | 5E89 |
| Base 3 | 1020012100 |
| As time | 24201 seconds = 6 h 43 min 21 s |
Is 24201 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24201 ÷ 3 = 8067) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24201 ÷ 9 = 2689) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24201 a prime number?
No. 24201 = × 2689, so it is divisible by 3.
What are the factors of 24201?
1, 3, 9, 2689, 8067, 24201.
What is 24201 in binary?
101111010001001 (hexadecimal 5E89, octal 57211).
What is the square root of 24201?
About 155.5667, exactly 3√2689.
Is 24201 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 24201?
24201 is a Harshad number: divisible by its digit sum 9.