The number 73998
73998 is a composite number with 12 divisors. Its prime factorisation is 2 × × 4111. Divisors (12): 1, 2, 3, 6, 9, 18, 4111, 8222, 12333, 24666, 36999, 73998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73998 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73998 is composite. Its prime factorisation is
- 3
The divisors add up to 160368; without 73998 itself that is 86370, so 73998 is abundant (86370 is more than 73998). Euler's totient φ(73998) = 24660 numbers up to 73998 share no factor with it.
- 4
The digits of 73998 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73998 = 2 \times 3^{2} \times 4111 \]73998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 160368 |
| Euler totient φ(n) | 24660 |
| Square | 5475704004 |
| Cube | 405191144887992 |
| Square root | 272.025734 (= 3√8222) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3998 × |
73998 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and ninety-eight |
| Binary (base 2) | 10010000100001110 |
| Octal (base 8) | 220416 |
| Hexadecimal (base 16) | 1210E |
| Base 3 | 10202111200 |
| As time | 73998 seconds = 20 h 33 min 18 s |
Is 73998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73998 ÷ 2 = 36999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73998 ÷ 3 = 24666) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73998 ÷ 6 = 12333) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73998 ÷ 9 = 8222) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73998 a prime number?
No. 73998 = 2 × × 4111, so it is divisible by 2.
What are the factors of 73998?
1, 2, 3, 6, 9, 18, 4111, 8222, 12333, 24666, 36999, 73998.
What is 73998 in binary?
10010000100001110 (hexadecimal 1210E, octal 220416).
What is the square root of 73998?
About 272.0257, exactly 3√8222.
Is 73998 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 73998?
It is a composite number with 12 divisors.