The number 98138
98138 is a composite number with 4 divisors. Its prime factorisation is 2 × 49069. Divisors (4): 1, 2, 49069, 98138.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98138: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 49069, the product of two primes.
- 2
98138 is composite. Its prime factorisation is
- 3
The divisors add up to 147210; without 98138 itself that is 49072, so 98138 is deficient (49072 is less than 98138). Euler's totient φ(98138) = 49068 numbers up to 98138 share no factor with it.
- 4
The digits of 98138 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98138 = 2 \times 49069 \]
98138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 147210 |
| Euler totient φ(n) | 49068 |
| Square | 9631067044 |
| Cube | 945173657564072 |
| Square root | 313.269852 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 128 |
| Scientific notation | 9.8138 × |
98138 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand one hundred and thirty-eight |
| Binary (base 2) | 10111111101011010 |
| Octal (base 8) | 277532 |
| Hexadecimal (base 16) | 17F5A |
| Base 3 | 11222121202 |
| As time | 98138 seconds = 27 h 15 min 38 s |
Is 98138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (98138 ÷ 2 = 49069) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98138 a prime number?
No. 98138 = 2 × 49069, so it is divisible by 2.
What are the factors of 98138?
1, 2, 49069, 98138.
What is 98138 in binary?
10111111101011010 (hexadecimal 17F5A, octal 277532).
What is the square root of 98138?
About 313.2699.
Is 98138 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 98138?
98138 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 49069, the product of two primes.