The number 83049
83049 is a composite number with 16 divisors. Its prime factorisation is 3 × 19 × 31 × 47. Divisors (16): 1, 3, 19, 31, 47, 57, 93, 141, 589, 893, 1457, 1767, 2679, 4371, 27683, 83049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83049 is composite. Its prime factorisation is
- 3
The divisors add up to 122880; without 83049 itself that is 39831, so 83049 is deficient (39831 is less than 83049). Euler's totient φ(83049) = 49680 numbers up to 83049 share no factor with it.
- 4
The digits of 83049 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 226 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83049 = 3 \times 19 \times 31 \times 47 \]
83049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 122880 |
| Euler totient φ(n) | 49680 |
| Square | 6897136401 |
| Cube | 572800280966649 |
| Square root | 288.182234 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 226 |
| Scientific notation | 8.3049 × |
83049 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and forty-nine |
| Binary (base 2) | 10100010001101001 |
| Octal (base 8) | 242151 |
| Hexadecimal (base 16) | 14469 |
| Base 3 | 11012220220 |
| As time | 83049 seconds = 23 h 4 min 9 s |
Is 83049 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 (83049 ÷ 3 = 27683) | 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 | 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 | No (remainder 6) | 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 83049 a prime number?
No. 83049 = 3 × 19 × 31 × 47, so it is divisible by 3.
What are the factors of 83049?
1, 3, 19, 31, 47, 57, 93, 141, 589, 893, 1457, 1767, 2679, 4371, 27683, 83049.
What is 83049 in binary?
10100010001101001 (hexadecimal 14469, octal 242151).
What is the square root of 83049?
About 288.1822.
Is 83049 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83049?
It is a composite number with 16 divisors.