The number 98827
98827 is a composite number with 4 divisors. Its prime factorisation is 37 × 2671. Divisors (4): 1, 37, 2671, 98827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 98827: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 2671, the product of two primes.
- 2
98827 is composite. Its prime factorisation is
- 3
The divisors add up to 101536; without 98827 itself that is 2709, so 98827 is deficient (2709 is less than 98827). Euler's totient φ(98827) = 96120 numbers up to 98827 share no factor with it.
- 4
The digits of 98827 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 98827 = 37 \times 2671 \]
98827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 101536 |
| Euler totient φ(n) | 96120 |
| Square | 9766775929 |
| Cube | 965221164735283 |
| Square root | 314.367619 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 146 |
| Scientific notation | 9.8827 × |
98827 in other forms
| Form | Value |
|---|---|
| In words | ninety-eight thousand eight hundred and twenty-seven |
| Binary (base 2) | 11000001000001011 |
| Octal (base 8) | 301013 |
| Hexadecimal (base 16) | 1820B |
| Base 3 | 12000120021 |
| As time | 98827 seconds = 27 h 27 min 7 s |
Is 98827 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 3) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 98827 a prime number?
No. 98827 = 37 × 2671, so it is divisible by 37.
What are the factors of 98827?
1, 37, 2671, 98827.
What is 98827 in binary?
11000001000001011 (hexadecimal 1820B, octal 301013).
What is the square root of 98827?
About 314.3676.
Is 98827 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 98827?
98827 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 37 × 2671, the product of two primes.