The number 42402
42402 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 37 × 191. Divisors (16): 1, 2, 3, 6, 37, 74, 111, 191, 222, 382, 573, 1146, 7067, 14134, 21201, 42402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42402 is composite. Its prime factorisation is
- 3
The divisors add up to 87552; without 42402 itself that is 45150, so 42402 is abundant (45150 is more than 42402). Euler's totient φ(42402) = 13680 numbers up to 42402 share no factor with it.
- 4
The digits of 42402 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42402 = 2 \times 3 \times 37 \times 191 \]
42402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 87552 |
| Euler totient φ(n) | 13680 |
| Square | 1797929604 |
| Cube | 76235811068808 |
| Square root | 205.917459 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2402 × |
42402 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and two |
| Binary (base 2) | 1010010110100010 |
| Octal (base 8) | 122642 |
| Hexadecimal (base 16) | A5A2 |
| Base 3 | 2011011110 |
| As time | 42402 seconds = 11 h 46 min 42 s |
Is 42402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42402 ÷ 2 = 21201) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42402 ÷ 3 = 14134) | 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 (42402 ÷ 6 = 7067) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | 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 42402 a prime number?
No. 42402 = 2 × 3 × 37 × 191, so it is divisible by 2.
What are the factors of 42402?
1, 2, 3, 6, 37, 74, 111, 191, 222, 382, 573, 1146, 7067, 14134, 21201, 42402.
What is 42402 in binary?
1010010110100010 (hexadecimal A5A2, octal 122642).
What is the square root of 42402?
About 205.9175.
Is 42402 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 42402?
It is a composite number with 16 divisors.