The number 83004
83004 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6917. Divisors (12): 1, 2, 3, 4, 6, 12, 6917, 13834, 20751, 27668, 41502, 83004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83004 is composite. Its prime factorisation is
- 3
The divisors add up to 193704; without 83004 itself that is 110700, so 83004 is abundant (110700 is more than 83004). Euler's totient φ(83004) = 27664 numbers up to 83004 share no factor with it.
- 4
The digits of 83004 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83004 = 2^{2} \times 3 \times 6917 \]83004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 193704 |
| Euler totient φ(n) | 27664 |
| Square | 6889664016 |
| Cube | 571869671984064 |
| Square root | 288.104148 (= 2√20751) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3004 × |
83004 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and four |
| Binary (base 2) | 10100010000111100 |
| Octal (base 8) | 242074 |
| Hexadecimal (base 16) | 1443C |
| Base 3 | 11012212020 |
| As time | 83004 seconds = 23 h 3 min 24 s |
Is 83004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83004 ÷ 2 = 41502) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83004 ÷ 3 = 27668) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83004 ÷ 4 = 20751) | 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 (83004 ÷ 6 = 13834) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83004 ÷ 12 = 6917) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83004 a prime number?
No. 83004 = × 3 × 6917, so it is divisible by 2.
What are the factors of 83004?
1, 2, 3, 4, 6, 12, 6917, 13834, 20751, 27668, 41502, 83004.
What is 83004 in binary?
10100010000111100 (hexadecimal 1443C, octal 242074).
What is the square root of 83004?
About 288.1041, exactly 2√20751.
Is 83004 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 83004?
It is a composite number with 12 divisors.