The number 83008
83008 is a composite number with 14 divisors. Its prime factorisation is × 1297. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 1297, 2594, 5188, 10376, 20752, 41504, 83008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83008 is composite. Its prime factorisation is
- 3
The divisors add up to 164846; without 83008 itself that is 81838, so 83008 is deficient (81838 is less than 83008). Euler's totient φ(83008) = 41472 numbers up to 83008 share no factor with it.
- 4
The digits of 83008 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83008 = 2^{6} \times 1297 \]83008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 164846 |
| Euler totient φ(n) | 41472 |
| Square | 6890328064 |
| Cube | 571952351936512 |
| Square root | 288.111090 (= 8√1297) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.3008 × |
83008 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and eight |
| Binary (base 2) | 10100010001000000 |
| Octal (base 8) | 242100 |
| Hexadecimal (base 16) | 14440 |
| Base 3 | 11012212101 |
| As time | 83008 seconds = 23 h 3 min 28 s |
Is 83008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83008 ÷ 2 = 41504) | 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 (83008 ÷ 4 = 20752) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | No (remainder 2) | 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 (83008 ÷ 8 = 10376) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 83008 a prime number?
No. 83008 = × 1297, so it is divisible by 2.
What are the factors of 83008?
1, 2, 4, 8, 16, 32, 64, 1297, 2594, 5188, 10376, 20752, 41504, 83008.
What is 83008 in binary?
10100010001000000 (hexadecimal 14440, octal 242100).
What is the square root of 83008?
About 288.1111, exactly 8√1297.
Is 83008 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 83008?
It is a composite number with 14 divisors.