The number 99138
99138 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 31 × 41. Divisors (32): 1, 2, 3, 6, 13, 26, 31, 39, 41, 62, 78, 82, 93, 123, 186, 246 … 99138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 99138: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
99138 is composite. Its prime factorisation is
- 3
The divisors add up to 225792; without 99138 itself that is 126654, so 99138 is abundant (126654 is more than 99138). Euler's totient φ(99138) = 28800 numbers up to 99138 share no factor with it.
- 4
The digits of 99138 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 99138 = 2 \times 3 \times 13 \times 31 \times 41 \]
99138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 225792 |
| Euler totient φ(n) | 28800 |
| Square | 9828343044 |
| Cube | 974362272696072 |
| Square root | 314.861874 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.9138 × |
99138 in other forms
| Form | Value |
|---|---|
| In words | ninety-nine thousand one hundred and thirty-eight |
| Binary (base 2) | 11000001101000010 |
| Octal (base 8) | 301502 |
| Hexadecimal (base 16) | 18342 |
| Base 3 | 12000222210 |
| As time | 99138 seconds = 27 h 32 min 18 s |
Is 99138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (99138 ÷ 2 = 49569) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (99138 ÷ 3 = 33046) | 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 (99138 ÷ 6 = 16523) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 99138 a prime number?
No. 99138 = 2 × 3 × 13 × 31 × 41, so it is divisible by 2.
What are the factors of 99138?
1, 2, 3, 6, 13, 26, 31, 39, 41, 62, 78, 82, 93, 123, 186, 246, 403, 533, 806, 1066, 1209, 1271, 1599, 2418, 2542, 3198, 3813, 7626, 16523, 33046, 49569, 99138.
What is 99138 in binary?
11000001101000010 (hexadecimal 18342, octal 301502).
What is the square root of 99138?
About 314.8619.
Is 99138 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 99138?
99138 is a happy number: repeatedly adding the squares of its digits reaches 1.