The number 73988
73988 is a composite number with 12 divisors. Its prime factorisation is × 53 × 349. Divisors (12): 1, 2, 4, 53, 106, 212, 349, 698, 1396, 18497, 36994, 73988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73988 is composite. Its prime factorisation is
- 3
The divisors add up to 132300; without 73988 itself that is 58312, so 73988 is deficient (58312 is less than 73988). Euler's totient φ(73988) = 36192 numbers up to 73988 share no factor with it.
- 4
The digits of 73988 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73988 = 2^{2} \times 53 \times 349 \]73988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 132300 |
| Euler totient φ(n) | 36192 |
| Square | 5474224144 |
| Cube | 405026895966272 |
| Square root | 272.007353 (= 2√18497) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3988 × |
73988 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and eighty-eight |
| Binary (base 2) | 10010000100000100 |
| Octal (base 8) | 220404 |
| Hexadecimal (base 16) | 12104 |
| Base 3 | 10202111022 |
| As time | 73988 seconds = 20 h 33 min 8 s |
Is 73988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73988 ÷ 2 = 36994) | 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 | Yes (73988 ÷ 4 = 18497) | 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 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73988 a prime number?
No. 73988 = × 53 × 349, so it is divisible by 2.
What are the factors of 73988?
1, 2, 4, 53, 106, 212, 349, 698, 1396, 18497, 36994, 73988.
What is 73988 in binary?
10010000100000100 (hexadecimal 12104, octal 220404).
What is the square root of 73988?
About 272.0074, exactly 2√18497.
Is 73988 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 73988?
It is a composite number with 12 divisors.