The number 83244
83244 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 991. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 991, 1982, 2973, 3964 … 83244.
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How to work it out
- 1
What is special about 83244: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.
- 2
83244 is composite. Its prime factorisation is
- 3
The divisors add up to 222208; without 83244 itself that is 138964, so 83244 is abundant (138964 is more than 83244). Euler's totient φ(83244) = 23760 numbers up to 83244 share no factor with it.
- 4
The digits of 83244 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83244 = 2^{2} \times 3 \times 7 \times 991 \]83244 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 222208 |
| Euler totient φ(n) | 23760 |
| Square | 6929563536 |
| Cube | 576844586990784 |
| Square root | 288.520363 (= 2√20811) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3244 × |
83244 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and forty-four |
| Binary (base 2) | 10100010100101100 |
| Octal (base 8) | 242454 |
| Hexadecimal (base 16) | 1452C |
| Base 3 | 11020012010 |
| As time | 83244 seconds = 23 h 7 min 24 s |
Is 83244 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83244 ÷ 2 = 41622) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83244 ÷ 3 = 27748) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83244 ÷ 4 = 20811) | 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 | Yes (83244 ÷ 6 = 13874) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83244 ÷ 7 = 11892) | 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 4) | 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 4) | 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 | Yes (83244 ÷ 12 = 6937) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83244 a prime number?
No. 83244 = × 3 × 7 × 991, so it is divisible by 2.
What are the factors of 83244?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 991, 1982, 2973, 3964, 5946, 6937, 11892, 13874, 20811, 27748, 41622, 83244.
What is 83244 in binary?
10100010100101100 (hexadecimal 1452C, octal 242454).
What is the square root of 83244?
About 288.5204, exactly 2√20811.
Is 83244 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 83244?
83244 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 21.