The number 73002
73002 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × . Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174, 12167, 24334, 36501, 73002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73002 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73002 is composite. Its prime factorisation is
- 3
The divisors add up to 152640; without 73002 itself that is 79638, so 73002 is abundant (79638 is more than 73002). Euler's totient φ(73002) = 23276 numbers up to 73002 share no factor with it.
- 4
The digits of 73002 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73002 = 2 \times 3 \times 23^{3} \]73002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 152640 |
| Euler totient φ(n) | 23276 |
| Square | 5329292004 |
| Cube | 389048974876008 |
| Square root | 270.188823 (= 23√138) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3002 × |
73002 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and two |
| Binary (base 2) | 10001110100101010 |
| Octal (base 8) | 216452 |
| Hexadecimal (base 16) | 11D2A |
| Base 3 | 10201010210 |
| As time | 73002 seconds = 20 h 16 min 42 s |
Is 73002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73002 ÷ 2 = 36501) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73002 ÷ 3 = 24334) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73002 ÷ 6 = 12167) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 73002 a prime number?
No. 73002 = 2 × 3 × , so it is divisible by 2.
What are the factors of 73002?
1, 2, 3, 6, 23, 46, 69, 138, 529, 1058, 1587, 3174, 12167, 24334, 36501, 73002.
What is 73002 in binary?
10001110100101010 (hexadecimal 11D2A, octal 216452).
What is the square root of 73002?
About 270.1888, exactly 23√138.
Is 73002 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 73002?
It is a composite number with 16 divisors.