The number 83616
83616 is a composite number with 48 divisors. Its prime factorisation is × 3 × 13 × 67. Divisors (48): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 67 … 83616.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83616: a Harshad number: divisible by its digit sum 24.
- 2
83616 is composite. Its prime factorisation is
- 3
The divisors add up to 239904; without 83616 itself that is 156288, so 83616 is abundant (156288 is more than 83616). Euler's totient φ(83616) = 25344 numbers up to 83616 share no factor with it.
- 4
The digits of 83616 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83616 = 2^{5} \times 3 \times 13 \times 67 \]83616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 239904 |
| Euler totient φ(n) | 25344 |
| Square | 6991635456 |
| Cube | 584612590288896 |
| Square root | 289.164313 (= 4√5226) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 8.3616 × |
83616 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand six hundred and sixteen |
| Binary (base 2) | 10100011010100000 |
| Octal (base 8) | 243240 |
| Hexadecimal (base 16) | 146A0 |
| Base 3 | 11020200220 |
| As time | 83616 seconds = 23 h 13 min 36 s |
Is 83616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83616 ÷ 2 = 41808) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83616 ÷ 3 = 27872) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83616 ÷ 4 = 20904) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83616 ÷ 6 = 13936) | 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 | Yes (83616 ÷ 8 = 10452) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83616 ÷ 12 = 6968) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83616 a prime number?
No. 83616 = × 3 × 13 × 67, so it is divisible by 2.
What are the factors of 83616?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 67, 78, 96, 104, 134, 156, 201, 208, 268, 312, 402, 416, 536, 624, 804, 871, 1072, 1248, 1608, 1742, 2144, 2613, 3216, 3484, 5226, 6432, 6968, 10452, 13936, 20904, 27872, 41808, 83616.
What is 83616 in binary?
10100011010100000 (hexadecimal 146A0, octal 243240).
What is the square root of 83616?
About 289.1643, exactly 4√5226.
Is 83616 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 83616?
83616 is a Harshad number: divisible by its digit sum 24.