The number 99942
99942 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 16657. Divisors (8): 1, 2, 3, 6, 16657, 33314, 49971, 99942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 99942: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
99942 is composite. Its prime factorisation is
- 3
The divisors add up to 199896; without 99942 itself that is 99954, so 99942 is abundant (99954 is more than 99942). Euler's totient φ(99942) = 33312 numbers up to 99942 share no factor with it.
- 4
The digits of 99942 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 99942 = 2 \times 3 \times 16657 \]
99942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 199896 |
| Euler totient φ(n) | 33312 |
| Square | 9988403364 |
| Cube | 998261009004888 |
| Square root | 316.136047 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 9.9942 × |
99942 in other forms
| Form | Value |
|---|---|
| In words | ninety-nine thousand nine hundred and forty-two |
| Binary (base 2) | 11000011001100110 |
| Octal (base 8) | 303146 |
| Hexadecimal (base 16) | 18666 |
| Base 3 | 12002002120 |
| As time | 99942 seconds = 27 h 45 min 42 s |
Is 99942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (99942 ÷ 2 = 49971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (99942 ÷ 3 = 33314) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (99942 ÷ 6 = 16657) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 99942 a prime number?
No. 99942 = 2 × 3 × 16657, so it is divisible by 2.
What are the factors of 99942?
1, 2, 3, 6, 16657, 33314, 49971, 99942.
What is 99942 in binary?
11000011001100110 (hexadecimal 18666, octal 303146).
What is the square root of 99942?
About 316.1360.
Is 99942 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 99942?
99942 is a happy number: repeatedly adding the squares of its digits reaches 1.