The number 73006
73006 is a composite number with 8 divisors. Its prime factorisation is 2 × 173 × 211. Divisors (8): 1, 2, 173, 211, 346, 422, 36503, 73006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73006: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73006 is composite. Its prime factorisation is
- 3
The divisors add up to 110664; without 73006 itself that is 37658, so 73006 is deficient (37658 is less than 73006). Euler's totient φ(73006) = 36120 numbers up to 73006 share no factor with it.
- 4
The digits of 73006 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73006 = 2 \times 173 \times 211 \]
73006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 110664 |
| Euler totient φ(n) | 36120 |
| Square | 5329876036 |
| Cube | 389112929884216 |
| Square root | 270.196225 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3006 × |
73006 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and six |
| Binary (base 2) | 10001110100101110 |
| Octal (base 8) | 216456 |
| Hexadecimal (base 16) | 11D2E |
| Base 3 | 10201010221 |
| As time | 73006 seconds = 20 h 16 min 46 s |
Is 73006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73006 ÷ 2 = 36503) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | 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 6) | 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 6) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73006 a prime number?
No. 73006 = 2 × 173 × 211, so it is divisible by 2.
What are the factors of 73006?
1, 2, 173, 211, 346, 422, 36503, 73006.
What is 73006 in binary?
10001110100101110 (hexadecimal 11D2E, octal 216456).
What is the square root of 73006?
About 270.1962.
Is 73006 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73006?
73006 is a happy number: repeatedly adding the squares of its digits reaches 1.