The number 73990
73990 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 151. Divisors (24): 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 151, 245, 302, 490, 755, 1057 … 73990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73990 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73990 is composite. Its prime factorisation is
- 3
The divisors add up to 155952; without 73990 itself that is 81962, so 73990 is abundant (81962 is more than 73990). Euler's totient φ(73990) = 25200 numbers up to 73990 share no factor with it.
- 4
The digits of 73990 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73990 = 2 \times 5 \times 7^{2} \times 151 \]73990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 155952 |
| Euler totient φ(n) | 25200 |
| Square | 5474520100 |
| Cube | 405059742199000 |
| Square root | 272.011029 (= 7√1510) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.399 × |
73990 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand nine hundred and ninety |
| Binary (base 2) | 10010000100000110 |
| Octal (base 8) | 220406 |
| Hexadecimal (base 16) | 12106 |
| Base 3 | 10202111101 |
| As time | 73990 seconds = 20 h 33 min 10 s |
Is 73990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73990 ÷ 2 = 36995) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73990 ÷ 5 = 14798) | 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 | Yes (73990 ÷ 7 = 10570) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73990 ÷ 10 = 7399) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73990 a prime number?
No. 73990 = 2 × 5 × × 151, so it is divisible by 2.
What are the factors of 73990?
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 151, 245, 302, 490, 755, 1057, 1510, 2114, 5285, 7399, 10570, 14798, 36995, 73990.
What is 73990 in binary?
10010000100000110 (hexadecimal 12106, octal 220406).
What is the square root of 73990?
About 272.0110, exactly 7√1510.
Is 73990 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 73990?
It is a composite number with 24 divisors.