The number 8402
8402 is a composite number with 4 divisors. Its prime factorisation is 2 × 4201. Divisors (4): 1, 2, 4201, 8402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8402: a semiprime: 2 × 4201, the product of two primes.
- 2
8402 is composite. Its prime factorisation is
- 3
The divisors add up to 12606; without 8402 itself that is 4204, so 8402 is deficient (4204 is less than 8402). Euler's totient φ(8402) = 4200 numbers up to 8402 share no factor with it.
- 4
The digits of 8402 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8402 = 2 \times 4201 \]
8402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12606 |
| Euler totient φ(n) | 4200 |
| Square | 70593604 |
| Cube | 593127460808 |
| Square root | 91.662424 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 65 |
| Scientific notation | 8.402 × |
8402 in other forms
| Form | Value |
|---|---|
| In words | eight thousand four hundred and two |
| Binary (base 2) | 10000011010010 |
| Octal (base 8) | 20322 |
| Hexadecimal (base 16) | 20D2 |
| Base 3 | 102112012 |
| As time | 8402 seconds = 2 h 20 min 2 s |
Is 8402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8402 ÷ 2 = 4201) | 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 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 5) | 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 9) | 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 8402 a prime number?
No. 8402 = 2 × 4201, so it is divisible by 2.
What are the factors of 8402?
1, 2, 4201, 8402.
What is 8402 in binary?
10000011010010 (hexadecimal 20D2, octal 20322).
What is the square root of 8402?
About 91.6624.
Is 8402 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 8402?
8402 is a semiprime: 2 × 4201, the product of two primes.