The number 73021
73021 is a composite number with 8 divisors. Its prime factorisation is 13 × 41 × 137. Divisors (8): 1, 13, 41, 137, 533, 1781, 5617, 73021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73021: a Harshad number: divisible by its digit sum 13.
- 2
73021 is composite. Its prime factorisation is
- 3
The divisors add up to 81144; without 73021 itself that is 8123, so 73021 is deficient (8123 is less than 73021). Euler's totient φ(73021) = 65280 numbers up to 73021 share no factor with it.
- 4
The digits of 73021 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73021 = 13 \times 41 \times 137 \]
73021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81144 |
| Euler totient φ(n) | 65280 |
| Square | 5332066441 |
| Cube | 389352823588261 |
| Square root | 270.223981 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3021 × |
73021 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and twenty-one |
| Binary (base 2) | 10001110100111101 |
| Octal (base 8) | 216475 |
| Hexadecimal (base 16) | 11D3D |
| Base 3 | 10201011111 |
| As time | 73021 seconds = 20 h 17 min 1 s |
Is 73021 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73021 a prime number?
No. 73021 = 13 × 41 × 137, so it is divisible by 13.
What are the factors of 73021?
1, 13, 41, 137, 533, 1781, 5617, 73021.
What is 73021 in binary?
10001110100111101 (hexadecimal 11D3D, octal 216475).
What is the square root of 73021?
About 270.2240.
Is 73021 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 73021?
73021 is a Harshad number: divisible by its digit sum 13.