The number 9802
9802 is a composite number with 12 divisors. Its prime factorisation is 2 × × 29. Divisors (12): 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9802 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9802 is composite. Its prime factorisation is
- 3
The divisors add up to 16470; without 9802 itself that is 6668, so 9802 is deficient (6668 is less than 9802). Euler's totient φ(9802) = 4368 numbers up to 9802 share no factor with it.
- 4
The digits of 9802 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9802 = 2 \times 13^{2} \times 29 \]9802 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 16470 |
| Euler totient φ(n) | 4368 |
| Square | 96079204 |
| Cube | 941768357608 |
| Square root | 99.005050 (= 13√58) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.802 × |
9802 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and two |
| Binary (base 2) | 10011001001010 |
| Octal (base 8) | 23112 |
| Hexadecimal (base 16) | 264A |
| Base 3 | 111110001 |
| As time | 9802 seconds = 2 h 43 min 22 s |
Is 9802 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9802 ÷ 2 = 4901) | 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 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9802 a prime number?
No. 9802 = 2 × × 29, so it is divisible by 2.
What are the factors of 9802?
1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802.
What is 9802 in binary?
10011001001010 (hexadecimal 264A, octal 23112).
What is the square root of 9802?
About 99.0051, exactly 13√58.
Is 9802 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 9802?
It is a composite number with 12 divisors.