The number 24801
24801 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 1181. Divisors (8): 1, 3, 7, 21, 1181, 3543, 8267, 24801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24801 is composite. Its prime factorisation is
- 3
The divisors add up to 37824; without 24801 itself that is 13023, so 24801 is deficient (13023 is less than 24801). Euler's totient φ(24801) = 14160 numbers up to 24801 share no factor with it.
- 4
The digits of 24801 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24801 = 3 \times 7 \times 1181 \]
24801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 37824 |
| Euler totient φ(n) | 14160 |
| Square | 615089601 |
| Cube | 15254837194401 |
| Square root | 157.483332 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4801 × |
24801 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand eight hundred and one |
| Binary (base 2) | 110000011100001 |
| Octal (base 8) | 60341 |
| Hexadecimal (base 16) | 60E1 |
| Base 3 | 1021000120 |
| As time | 24801 seconds = 6 h 53 min 21 s |
Is 24801 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 (24801 ÷ 3 = 8267) | 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 | Yes (24801 ÷ 7 = 3543) | 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 | No (remainder 6) | 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 7) | 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 24801 a prime number?
No. 24801 = 3 × 7 × 1181, so it is divisible by 3.
What are the factors of 24801?
1, 3, 7, 21, 1181, 3543, 8267, 24801.
What is 24801 in binary?
110000011100001 (hexadecimal 60E1, octal 60341).
What is the square root of 24801?
About 157.4833.
Is 24801 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24801?
It is a composite number with 8 divisors.