The number 9402
9402 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 1567. Divisors (8): 1, 2, 3, 6, 1567, 3134, 4701, 9402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9402 is composite. Its prime factorisation is
- 3
The divisors add up to 18816; without 9402 itself that is 9414, so 9402 is abundant (9414 is more than 9402). Euler's totient φ(9402) = 3132 numbers up to 9402 share no factor with it.
- 4
The digits of 9402 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9402 = 2 \times 3 \times 1567 \]
9402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18816 |
| Euler totient φ(n) | 3132 |
| Square | 88397604 |
| Cube | 831114272808 |
| Square root | 96.963911 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 122 |
| Scientific notation | 9.402 × |
9402 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and two |
| Binary (base 2) | 10010010111010 |
| Octal (base 8) | 22272 |
| Hexadecimal (base 16) | 24BA |
| Base 3 | 110220020 |
| As time | 9402 seconds = 2 h 36 min 42 s |
Is 9402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9402 ÷ 2 = 4701) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9402 ÷ 3 = 3134) | 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 | Yes (9402 ÷ 6 = 1567) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9402 a prime number?
No. 9402 = 2 × 3 × 1567, so it is divisible by 2.
What are the factors of 9402?
1, 2, 3, 6, 1567, 3134, 4701, 9402.
What is 9402 in binary?
10010010111010 (hexadecimal 24BA, octal 22272).
What is the square root of 9402?
About 96.9639.
Is 9402 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 9402?
It is a composite number with 8 divisors.