The number 73007
73007 is a composite number with 4 divisors. Its prime factorisation is 11 × 6637. Divisors (4): 1, 11, 6637, 73007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73007: a semiprime: 11 × 6637, the product of two primes.
- 2
73007 is composite. Its prime factorisation is
- 3
The divisors add up to 79656; without 73007 itself that is 6649, so 73007 is deficient (6649 is less than 73007). Euler's totient φ(73007) = 66360 numbers up to 73007 share no factor with it.
- 4
The digits of 73007 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73007 = 11 \times 6637 \]
73007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 79656 |
| Euler totient φ(n) | 66360 |
| Square | 5330022049 |
| Cube | 389128919731343 |
| Square root | 270.198075 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 148 |
| Scientific notation | 7.3007 × |
73007 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and seven |
| Binary (base 2) | 10001110100101111 |
| Octal (base 8) | 216457 |
| Hexadecimal (base 16) | 11D2F |
| Base 3 | 10201010222 |
| As time | 73007 seconds = 20 h 16 min 47 s |
Is 73007 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 | No (remainder 2) | 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 5) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (73007 ÷ 11 = 6637) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73007 a prime number?
No. 73007 = 11 × 6637, so it is divisible by 11.
What are the factors of 73007?
1, 11, 6637, 73007.
What is 73007 in binary?
10001110100101111 (hexadecimal 11D2F, octal 216457).
What is the square root of 73007?
About 270.1981.
Is 73007 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 73007?
73007 is a semiprime: 11 × 6637, the product of two primes.