The number 73967
73967 is a composite number with 8 divisors. Its prime factorisation is 17 × 19 × 229. Divisors (8): 1, 17, 19, 229, 323, 3893, 4351, 73967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73967 is composite. Its prime factorisation is
- 3
The divisors add up to 82800; without 73967 itself that is 8833, so 73967 is deficient (8833 is less than 73967). Euler's totient φ(73967) = 65664 numbers up to 73967 share no factor with it.
- 4
The digits of 73967 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73967 = 17 \times 19 \times 229 \]
73967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 82800 |
| Euler totient φ(n) | 65664 |
| Square | 5471117089 |
| Cube | 404682117722063 |
| Square root | 271.968748 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3967 × |
73967 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and sixty-seven |
| Binary (base 2) | 10010000011101111 |
| Octal (base 8) | 220357 |
| Hexadecimal (base 16) | 120EF |
| Base 3 | 10202110112 |
| As time | 73967 seconds = 20 h 32 min 47 s |
Is 73967 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 7) | 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 7) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73967 a prime number?
No. 73967 = 17 × 19 × 229, so it is divisible by 17.
What are the factors of 73967?
1, 17, 19, 229, 323, 3893, 4351, 73967.
What is 73967 in binary?
10010000011101111 (hexadecimal 120EF, octal 220357).
What is the square root of 73967?
About 271.9687.
Is 73967 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 73967?
It is a composite number with 8 divisors.