The number 24013
24013 is a composite number with 8 divisors. Its prime factorisation is 11 × 37 × 59. Divisors (8): 1, 11, 37, 59, 407, 649, 2183, 24013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24013 is composite. Its prime factorisation is
- 3
The divisors add up to 27360; without 24013 itself that is 3347, so 24013 is deficient (3347 is less than 24013). Euler's totient φ(24013) = 20880 numbers up to 24013 share no factor with it.
- 4
The digits of 24013 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24013 = 11 \times 37 \times 59 \]
24013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27360 |
| Euler totient φ(n) | 20880 |
| Square | 576624169 |
| Cube | 13846476170197 |
| Square root | 154.961285 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.4013 × |
24013 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and thirteen |
| Binary (base 2) | 101110111001101 |
| Octal (base 8) | 56715 |
| Hexadecimal (base 16) | 5DCD |
| Base 3 | 1012221101 |
| As time | 24013 seconds = 6 h 40 min 13 s |
Is 24013 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 | No (remainder 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (24013 ÷ 11 = 2183) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24013 a prime number?
No. 24013 = 11 × 37 × 59, so it is divisible by 11.
What are the factors of 24013?
1, 11, 37, 59, 407, 649, 2183, 24013.
What is 24013 in binary?
101110111001101 (hexadecimal 5DCD, octal 56715).
What is the square root of 24013?
About 154.9613.
Is 24013 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 24013?
It is a composite number with 8 divisors.