The number 73301
73301 is a composite number with 4 divisors. Its prime factorisation is 23 × 3187. Divisors (4): 1, 23, 3187, 73301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73301: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 3187, the product of two primes.
- 2
73301 is composite. Its prime factorisation is
- 3
The divisors add up to 76512; without 73301 itself that is 3211, so 73301 is deficient (3211 is less than 73301). Euler's totient φ(73301) = 70092 numbers up to 73301 share no factor with it.
- 4
The digits of 73301 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73301 = 23 \times 3187 \]
73301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 76512 |
| Euler totient φ(n) | 70092 |
| Square | 5373036601 |
| Cube | 393848955889901 |
| Square root | 270.741574 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3301 × |
73301 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and one |
| Binary (base 2) | 10001111001010101 |
| Octal (base 8) | 217125 |
| Hexadecimal (base 16) | 11E55 |
| Base 3 | 10201112212 |
| As time | 73301 seconds = 20 h 21 min 41 s |
Is 73301 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 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73301 a prime number?
No. 73301 = 23 × 3187, so it is divisible by 23.
What are the factors of 73301?
1, 23, 3187, 73301.
What is 73301 in binary?
10001111001010101 (hexadecimal 11E55, octal 217125).
What is the square root of 73301?
About 270.7416.
Is 73301 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 73301?
73301 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 23 × 3187, the product of two primes.