The number 24921
24921 is a composite number with 16 divisors. Its prime factorisation is × 13 × 71. Divisors (16): 1, 3, 9, 13, 27, 39, 71, 117, 213, 351, 639, 923, 1917, 2769, 8307, 24921.
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How to work it out
- 1
24921 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24921 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 24921 itself that is 15399, so 24921 is deficient (15399 is less than 24921). Euler's totient φ(24921) = 15120 numbers up to 24921 share no factor with it.
- 4
The digits of 24921 add up to 18, 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
\[ 24921 = 3^{3} \times 13 \times 71 \]24921 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 15120 |
| Square | 621056241 |
| Cube | 15477342581961 |
| Square root | 157.863865 (= 3√2769) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.4921 × |
24921 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and twenty-one |
| Binary (base 2) | 110000101011001 |
| Octal (base 8) | 60531 |
| Hexadecimal (base 16) | 6159 |
| Base 3 | 1021012000 |
| As time | 24921 seconds = 6 h 55 min 21 s |
Is 24921 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 (24921 ÷ 3 = 8307) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (24921 ÷ 9 = 2769) | 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 6) | 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 24921 a prime number?
No. 24921 = × 13 × 71, so it is divisible by 3.
What are the factors of 24921?
1, 3, 9, 13, 27, 39, 71, 117, 213, 351, 639, 923, 1917, 2769, 8307, 24921.
What is 24921 in binary?
110000101011001 (hexadecimal 6159, octal 60531).
What is the square root of 24921?
About 157.8639, exactly 3√2769.
Is 24921 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24921?
It is a composite number with 16 divisors.