The number 79998
79998 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 67 × 199. Divisors (16): 1, 2, 3, 6, 67, 134, 199, 201, 398, 402, 597, 1194, 13333, 26666, 39999, 79998.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 79998: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
79998 is composite. Its prime factorisation is
- 3
The divisors add up to 163200; without 79998 itself that is 83202, so 79998 is abundant (83202 is more than 79998). Euler's totient φ(79998) = 26136 numbers up to 79998 share no factor with it.
- 4
The digits of 79998 add up to 42, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 79998 = 2 \times 3 \times 67 \times 199 \]
79998 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 163200 |
| Euler totient φ(n) | 26136 |
| Square | 6399680004 |
| Cube | 511961600959992 |
| Square root | 282.839177 |
| Digit sum / digital root | 42 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.9998 × |
79998 in other forms
| Form | Value |
|---|---|
| In words | seventy-nine thousand nine hundred and ninety-eight |
| Binary (base 2) | 10011100001111110 |
| Octal (base 8) | 234176 |
| Hexadecimal (base 16) | 1387E |
| Base 3 | 11001201220 |
| As time | 79998 seconds = 22 h 13 min 18 s |
Is 79998 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (79998 ÷ 2 = 39999) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (79998 ÷ 3 = 26666) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (79998 ÷ 6 = 13333) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 79998 a prime number?
No. 79998 = 2 × 3 × 67 × 199, so it is divisible by 2.
What are the factors of 79998?
1, 2, 3, 6, 67, 134, 199, 201, 398, 402, 597, 1194, 13333, 26666, 39999, 79998.
What is 79998 in binary?
10011100001111110 (hexadecimal 1387E, octal 234176).
What is the square root of 79998?
About 282.8392.
Is 79998 divisible by 3?
Yes. Its digits add up to 42, a multiple of 3.
What is special about the number 79998?
79998 is a happy number: repeatedly adding the squares of its digits reaches 1.