The number 73996
73996 is a composite number with 12 divisors. Its prime factorisation is × 13 × 1423. Divisors (12): 1, 2, 4, 13, 26, 52, 1423, 2846, 5692, 18499, 36998, 73996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73996 is composite. Its prime factorisation is
- 3
The divisors add up to 139552; without 73996 itself that is 65556, so 73996 is deficient (65556 is less than 73996). Euler's totient φ(73996) = 34128 numbers up to 73996 share no factor with it.
- 4
The digits of 73996 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73996 = 2^{2} \times 13 \times 1423 \]73996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 139552 |
| Euler totient φ(n) | 34128 |
| Square | 5475408016 |
| Cube | 405158291551936 |
| Square root | 272.022058 (= 2√18499) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3996 × |
73996 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and ninety-six |
| Binary (base 2) | 10010000100001100 |
| Octal (base 8) | 220414 |
| Hexadecimal (base 16) | 1210C |
| Base 3 | 10202111121 |
| As time | 73996 seconds = 20 h 33 min 16 s |
Is 73996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73996 ÷ 2 = 36998) | 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 | Yes (73996 ÷ 4 = 18499) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73996 a prime number?
No. 73996 = × 13 × 1423, so it is divisible by 2.
What are the factors of 73996?
1, 2, 4, 13, 26, 52, 1423, 2846, 5692, 18499, 36998, 73996.
What is 73996 in binary?
10010000100001100 (hexadecimal 1210C, octal 220414).
What is the square root of 73996?
About 272.0221, exactly 2√18499.
Is 73996 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 73996?
It is a composite number with 12 divisors.