The number 97993
97993 is a composite number with 4 divisors. Its prime factorisation is 7 × 13999. Divisors (4): 1, 7, 13999, 97993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 97993: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 13999, the product of two primes.
- 2
97993 is composite. Its prime factorisation is
- 3
The divisors add up to 112000; without 97993 itself that is 14007, so 97993 is deficient (14007 is less than 97993). Euler's totient φ(97993) = 83988 numbers up to 97993 share no factor with it.
- 4
The digits of 97993 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 97993 = 7 \times 13999 \]
97993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 112000 |
| Euler totient φ(n) | 83988 |
| Square | 9602628049 |
| Cube | 940990330405657 |
| Square root | 313.038336 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 190 |
| Scientific notation | 9.7993 × |
97993 in other forms
| Form | Value |
|---|---|
| In words | ninety-seven thousand nine hundred and ninety-three |
| Binary (base 2) | 10111111011001001 |
| Octal (base 8) | 277311 |
| Hexadecimal (base 16) | 17EC9 |
| Base 3 | 11222102101 |
| As time | 97993 seconds = 27 h 13 min 13 s |
Is 97993 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (97993 ÷ 7 = 13999) | 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 1) | 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 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 97993 a prime number?
No. 97993 = 7 × 13999, so it is divisible by 7.
What are the factors of 97993?
1, 7, 13999, 97993.
What is 97993 in binary?
10111111011001001 (hexadecimal 17EC9, octal 277311).
What is the square root of 97993?
About 313.0383.
Is 97993 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 97993?
97993 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 13999, the product of two primes.