The number 84249
84249 is a composite number with 24 divisors. Its prime factorisation is × 11 × 23 × 37. Divisors (24): 1, 3, 9, 11, 23, 33, 37, 69, 99, 111, 207, 253, 333, 407, 759, 851 … 84249.
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How to work it out
- 1
84249 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
84249 is composite. Its prime factorisation is
- 3
The divisors add up to 142272; without 84249 itself that is 58023, so 84249 is deficient (58023 is less than 84249). Euler's totient φ(84249) = 47520 numbers up to 84249 share no factor with it.
- 4
The digits of 84249 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 84249 = 3^{2} \times 11 \times 23 \times 37 \]84249 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 142272 |
| Euler totient φ(n) | 47520 |
| Square | 7097894001 |
| Cube | 597990471690249 |
| Square root | 290.256783 (= 3√9361) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 8.4249 × |
84249 in other forms
| Form | Value |
|---|---|
| In words | eighty-four thousand two hundred and forty-nine |
| Binary (base 2) | 10100100100011001 |
| Octal (base 8) | 244431 |
| Hexadecimal (base 16) | 14919 |
| Base 3 | 11021120100 |
| As time | 84249 seconds = 23 h 24 min 9 s |
Is 84249 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 (84249 ÷ 3 = 28083) | 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 4) | 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 (84249 ÷ 9 = 9361) | 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 | Yes (84249 ÷ 11 = 7659) | 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 84249 a prime number?
No. 84249 = × 11 × 23 × 37, so it is divisible by 3.
What are the factors of 84249?
1, 3, 9, 11, 23, 33, 37, 69, 99, 111, 207, 253, 333, 407, 759, 851, 1221, 2277, 2553, 3663, 7659, 9361, 28083, 84249.
What is 84249 in binary?
10100100100011001 (hexadecimal 14919, octal 244431).
What is the square root of 84249?
About 290.2568, exactly 3√9361.
Is 84249 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 84249?
It is a composite number with 24 divisors.