The number 83007
83007 is a composite number with 12 divisors. Its prime factorisation is × 23 × 401. Divisors (12): 1, 3, 9, 23, 69, 207, 401, 1203, 3609, 9223, 27669, 83007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
83007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
83007 is composite. Its prime factorisation is
- 3
The divisors add up to 125424; without 83007 itself that is 42417, so 83007 is deficient (42417 is less than 83007). Euler's totient φ(83007) = 52800 numbers up to 83007 share no factor with it.
- 4
The digits of 83007 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83007 = 3^{2} \times 23 \times 401 \]83007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 125424 |
| Euler totient φ(n) | 52800 |
| Square | 6890162049 |
| Cube | 571931681201343 |
| Square root | 288.109354 (= 3√9223) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.3007 × |
83007 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and seven |
| Binary (base 2) | 10100010000111111 |
| Octal (base 8) | 242077 |
| Hexadecimal (base 16) | 1443F |
| Base 3 | 11012212100 |
| As time | 83007 seconds = 23 h 3 min 27 s |
Is 83007 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83007 ÷ 3 = 27669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (83007 ÷ 9 = 9223) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83007 a prime number?
No. 83007 = × 23 × 401, so it is divisible by 3.
What are the factors of 83007?
1, 3, 9, 23, 69, 207, 401, 1203, 3609, 9223, 27669, 83007.
What is 83007 in binary?
10100010000111111 (hexadecimal 1443F, octal 242077).
What is the square root of 83007?
About 288.1094, exactly 3√9223.
Is 83007 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 83007?
It is a composite number with 12 divisors.