The number 73000
73000 is a composite number with 32 divisors. Its prime factorisation is × × 73. Divisors (32): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 73, 100, 125, 146, 200, 250 … 73000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73000: a Harshad number: divisible by its digit sum 10.
- 2
73000 is composite. Its prime factorisation is
- 3
The divisors add up to 173160; without 73000 itself that is 100160, so 73000 is abundant (100160 is more than 73000). Euler's totient φ(73000) = 28800 numbers up to 73000 share no factor with it.
- 4
The digits of 73000 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73000 = 2^{3} \times 5^{3} \times 73 \]73000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 173160 |
| Euler totient φ(n) | 28800 |
| Square | 5329000000 |
| Cube | 389017000000000 |
| Square root | 270.185122 (= 10√730) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3 × |
73000 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand |
| Binary (base 2) | 10001110100101000 |
| Octal (base 8) | 216450 |
| Hexadecimal (base 16) | 11D28 |
| Base 3 | 10201010201 |
| As time | 73000 seconds = 20 h 16 min 40 s |
Is 73000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73000 ÷ 2 = 36500) | 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 | Yes (73000 ÷ 4 = 18250) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73000 ÷ 5 = 14600) | 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 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 | Yes (73000 ÷ 8 = 9125) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73000 ÷ 10 = 7300) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73000 a prime number?
No. 73000 = × × 73, so it is divisible by 2.
What are the factors of 73000?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 73, 100, 125, 146, 200, 250, 292, 365, 500, 584, 730, 1000, 1460, 1825, 2920, 3650, 7300, 9125, 14600, 18250, 36500, 73000.
What is 73000 in binary?
10001110100101000 (hexadecimal 11D28, octal 216450).
What is the square root of 73000?
About 270.1851, exactly 10√730.
Is 73000 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 73000?
73000 is a Harshad number: divisible by its digit sum 10.