The number 83104
83104 is a composite number with 36 divisors. Its prime factorisation is × × 53. Divisors (36): 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 53, 56, 98, 106, 112, 196 … 83104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83104: a Harshad number: divisible by its digit sum 16.
- 2
83104 is composite. Its prime factorisation is
- 3
The divisors add up to 193914; without 83104 itself that is 110810, so 83104 is abundant (110810 is more than 83104). Euler's totient φ(83104) = 34944 numbers up to 83104 share no factor with it.
- 4
The digits of 83104 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83104 = 2^{5} \times 7^{2} \times 53 \]83104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 193914 |
| Euler totient φ(n) | 34944 |
| Square | 6906274816 |
| Cube | 573939062308864 |
| Square root | 288.277644 (= 28√106) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.3104 × |
83104 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand one hundred and four |
| Binary (base 2) | 10100010010100000 |
| Octal (base 8) | 242240 |
| Hexadecimal (base 16) | 144A0 |
| Base 3 | 11012222221 |
| As time | 83104 seconds = 23 h 5 min 4 s |
Is 83104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83104 ÷ 2 = 41552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83104 ÷ 4 = 20776) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (83104 ÷ 7 = 11872) | 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 (83104 ÷ 8 = 10388) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83104 a prime number?
No. 83104 = × × 53, so it is divisible by 2.
What are the factors of 83104?
1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 53, 56, 98, 106, 112, 196, 212, 224, 371, 392, 424, 742, 784, 848, 1484, 1568, 1696, 2597, 2968, 5194, 5936, 10388, 11872, 20776, 41552, 83104.
What is 83104 in binary?
10100010010100000 (hexadecimal 144A0, octal 242240).
What is the square root of 83104?
About 288.2776, exactly 28√106.
Is 83104 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 83104?
83104 is a Harshad number: divisible by its digit sum 16.