The number 79993
79993 is a composite number with 4 divisors. Its prime factorisation is 167 × 479. Divisors (4): 1, 167, 479, 79993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 79993: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 167 × 479, the product of two primes.
- 2
79993 is composite. Its prime factorisation is
- 3
The divisors add up to 80640; without 79993 itself that is 647, so 79993 is deficient (647 is less than 79993). Euler's totient φ(79993) = 79348 numbers up to 79993 share no factor with it.
- 4
The digits of 79993 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 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79993 = 167 \times 479 \]
79993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 80640 |
| Euler totient φ(n) | 79348 |
| Square | 6398880049 |
| Cube | 511865611759657 |
| Square root | 282.830338 |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.9993 × |
79993 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand nine hundred and ninety-three |
| Binary (base 2) | 10011100001111001 |
| Octal (base 8) | 234171 |
| Hexadecimal (base 16) | 13879 |
| Base 3 | 11001201201 |
| As time | 79993 seconds = 22 h 13 min 13 s |
Is 79993 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 | No (remainder 4) | 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 1) | 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 79993 a prime number?
No. 79993 = 167 × 479, so it is divisible by 167.
What are the factors of 79993?
1, 167, 479, 79993.
What is 79993 in binary?
10011100001111001 (hexadecimal 13879, octal 234171).
What is the square root of 79993?
About 282.8303.
Is 79993 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 79993?
79993 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 167 × 479, the product of two primes.