The number 83010
83010 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2767. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2767, 5534, 8301, 13835, 16602, 27670, 41505, 83010.
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How to work it out
- 1
83010 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83010 is composite. Its prime factorisation is
- 3
The divisors add up to 199296; without 83010 itself that is 116286, so 83010 is abundant (116286 is more than 83010). Euler's totient φ(83010) = 22128 numbers up to 83010 share no factor with it.
- 4
The digits of 83010 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83010 = 2 \times 3 \times 5 \times 2767 \]
83010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 199296 |
| Euler totient φ(n) | 22128 |
| Square | 6890660100 |
| Cube | 571993694901000 |
| Square root | 288.114561 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.301 × |
83010 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and ten |
| Binary (base 2) | 10100010001000010 |
| Octal (base 8) | 242102 |
| Hexadecimal (base 16) | 14442 |
| Base 3 | 11012212110 |
| As time | 83010 seconds = 23 h 3 min 30 s |
Is 83010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83010 ÷ 2 = 41505) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83010 ÷ 3 = 27670) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83010 ÷ 5 = 16602) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83010 ÷ 6 = 13835) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 | Yes (83010 ÷ 10 = 8301) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83010 a prime number?
No. 83010 = 2 × 3 × 5 × 2767, so it is divisible by 2.
What are the factors of 83010?
1, 2, 3, 5, 6, 10, 15, 30, 2767, 5534, 8301, 13835, 16602, 27670, 41505, 83010.
What is 83010 in binary?
10100010001000010 (hexadecimal 14442, octal 242102).
What is the square root of 83010?
About 288.1146.
Is 83010 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 83010?
It is a composite number with 16 divisors.