The number 24339
24339 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 19 × 61. Divisors (16): 1, 3, 7, 19, 21, 57, 61, 133, 183, 399, 427, 1159, 1281, 3477, 8113, 24339.
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How to work it out
- 1
What is special about 24339: a Harshad number: divisible by its digit sum 21.
- 2
24339 is composite. Its prime factorisation is
- 3
The divisors add up to 39680; without 24339 itself that is 15341, so 24339 is deficient (15341 is less than 24339). Euler's totient φ(24339) = 12960 numbers up to 24339 share no factor with it.
- 4
The digits of 24339 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 157 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24339 = 3 \times 7 \times 19 \times 61 \]
24339 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 39680 |
| Euler totient φ(n) | 12960 |
| Square | 592386921 |
| Cube | 14418105270219 |
| Square root | 156.009615 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 157 |
| Scientific notation | 2.4339 × |
24339 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand three hundred and thirty-nine |
| Binary (base 2) | 101111100010011 |
| Octal (base 8) | 57423 |
| Hexadecimal (base 16) | 5F13 |
| Base 3 | 1020101110 |
| As time | 24339 seconds = 6 h 45 min 39 s |
Is 24339 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 (24339 ÷ 3 = 8113) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (24339 ÷ 7 = 3477) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24339 a prime number?
No. 24339 = 3 × 7 × 19 × 61, so it is divisible by 3.
What are the factors of 24339?
1, 3, 7, 19, 21, 57, 61, 133, 183, 399, 427, 1159, 1281, 3477, 8113, 24339.
What is 24339 in binary?
101111100010011 (hexadecimal 5F13, octal 57423).
What is the square root of 24339?
About 156.0096.
Is 24339 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 24339?
24339 is a Harshad number: divisible by its digit sum 21.