The number 73801
73801 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 811. Divisors (8): 1, 7, 13, 91, 811, 5677, 10543, 73801.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73801 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73801 is composite. Its prime factorisation is
- 3
The divisors add up to 90944; without 73801 itself that is 17143, so 73801 is deficient (17143 is less than 73801). Euler's totient φ(73801) = 58320 numbers up to 73801 share no factor with it.
- 4
The digits of 73801 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73801 = 7 \times 13 \times 811 \]
73801 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 90944 |
| Euler totient φ(n) | 58320 |
| Square | 5446587601 |
| Cube | 401963611541401 |
| Square root | 271.663395 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.3801 × |
73801 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and one |
| Binary (base 2) | 10010000001001001 |
| Octal (base 8) | 220111 |
| Hexadecimal (base 16) | 12049 |
| Base 3 | 10202020101 |
| As time | 73801 seconds = 20 h 30 min 1 s |
Is 73801 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 | Yes (73801 ÷ 7 = 10543) | 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 1) | 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 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 73801 a prime number?
No. 73801 = 7 × 13 × 811, so it is divisible by 7.
What are the factors of 73801?
1, 7, 13, 91, 811, 5677, 10543, 73801.
What is 73801 in binary?
10010000001001001 (hexadecimal 12049, octal 220111).
What is the square root of 73801?
About 271.6634.
Is 73801 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73801?
It is a composite number with 8 divisors.