The number 9902
9902 is a composite number with 4 divisors. Its prime factorisation is 2 × 4951. Divisors (4): 1, 2, 4951, 9902.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9902: a semiprime: 2 × 4951, the product of two primes.
- 2
9902 is composite. Its prime factorisation is
- 3
The divisors add up to 14856; without 9902 itself that is 4954, so 9902 is deficient (4954 is less than 9902). Euler's totient φ(9902) = 4950 numbers up to 9902 share no factor with it.
- 4
The digits of 9902 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9902 = 2 \times 4951 \]
9902 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14856 |
| Euler totient φ(n) | 4950 |
| Square | 98049604 |
| Cube | 970887178808 |
| Square root | 99.508794 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.902 × |
9902 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and two |
| Binary (base 2) | 10011010101110 |
| Octal (base 8) | 23256 |
| Hexadecimal (base 16) | 26AE |
| Base 3 | 111120202 |
| As time | 9902 seconds = 2 h 45 min 2 s |
Is 9902 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9902 ÷ 2 = 4951) | 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 2) | 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 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 9902 a prime number?
No. 9902 = 2 × 4951, so it is divisible by 2.
What are the factors of 9902?
1, 2, 4951, 9902.
What is 9902 in binary?
10011010101110 (hexadecimal 26AE, octal 23256).
What is the square root of 9902?
About 99.5088.
Is 9902 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9902?
9902 is a semiprime: 2 × 4951, the product of two primes.