The number 73101
73101 is a composite number with 12 divisors. Its prime factorisation is 3 × 7 × . Divisors (12): 1, 3, 7, 21, 59, 177, 413, 1239, 3481, 10443, 24367, 73101.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73101 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73101 is composite. Its prime factorisation is
- 3
The divisors add up to 113312; without 73101 itself that is 40211, so 73101 is deficient (40211 is less than 73101). Euler's totient φ(73101) = 41064 numbers up to 73101 share no factor with it.
- 4
The digits of 73101 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73101 = 3 \times 7 \times 59^{2} \]73101 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 113312 |
| Euler totient φ(n) | 41064 |
| Square | 5343756201 |
| Cube | 390633922049301 |
| Square root | 270.371966 (= 59√21) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3101 × |
73101 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and one |
| Binary (base 2) | 10001110110001101 |
| Octal (base 8) | 216615 |
| Hexadecimal (base 16) | 11D8D |
| Base 3 | 10201021110 |
| As time | 73101 seconds = 20 h 18 min 21 s |
Is 73101 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 | Yes (73101 ÷ 3 = 24367) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73101 ÷ 7 = 10443) | 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 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73101 a prime number?
No. 73101 = 3 × 7 × , so it is divisible by 3.
What are the factors of 73101?
1, 3, 7, 21, 59, 177, 413, 1239, 3481, 10443, 24367, 73101.
What is 73101 in binary?
10001110110001101 (hexadecimal 11D8D, octal 216615).
What is the square root of 73101?
About 270.3720, exactly 59√21.
Is 73101 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 73101?
It is a composite number with 12 divisors.