The number 20349
20349 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 19. Divisors (24): 1, 3, 7, 9, 17, 19, 21, 51, 57, 63, 119, 133, 153, 171, 323, 357 … 20349.
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How to work it out
- 1
20349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20349 is composite. Its prime factorisation is
- 3
The divisors add up to 37440; without 20349 itself that is 17091, so 20349 is deficient (17091 is less than 20349). Euler's totient φ(20349) = 10368 numbers up to 20349 share no factor with it.
- 4
The digits of 20349 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 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20349 = 3^{2} \times 7 \times 17 \times 19 \]20349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 37440 |
| Euler totient φ(n) | 10368 |
| Square | 414081801 |
| Cube | 8426150568549 |
| Square root | 142.649921 (= 3√2261) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 180 |
| Scientific notation | 2.0349 × |
20349 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and forty-nine |
| Binary (base 2) | 100111101111101 |
| Octal (base 8) | 47575 |
| Hexadecimal (base 16) | 4F7D |
| Base 3 | 1000220200 |
| As time | 20349 seconds = 5 h 39 min 9 s |
Is 20349 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 (20349 ÷ 3 = 6783) | 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 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 (20349 ÷ 7 = 2907) | 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 | Yes (20349 ÷ 9 = 2261) | 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 10) | 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 20349 a prime number?
No. 20349 = × 7 × 17 × 19, so it is divisible by 3.
What are the factors of 20349?
1, 3, 7, 9, 17, 19, 21, 51, 57, 63, 119, 133, 153, 171, 323, 357, 399, 969, 1071, 1197, 2261, 2907, 6783, 20349.
What is 20349 in binary?
100111101111101 (hexadecimal 4F7D, octal 47575).
What is the square root of 20349?
About 142.6499, exactly 3√2261.
Is 20349 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 20349?
It is a composite number with 24 divisors.