The number 40402
40402 is a composite number with 4 divisors. Its prime factorisation is 2 × 20201. Divisors (4): 1, 2, 20201, 40402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40402: a semiprime: 2 × 20201, the product of two primes.
- 2
40402 is composite. Its prime factorisation is
- 3
The divisors add up to 60606; without 40402 itself that is 20204, so 40402 is deficient (20204 is less than 40402). Euler's totient φ(40402) = 20200 numbers up to 40402 share no factor with it.
- 4
The digits of 40402 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40402 = 2 \times 20201 \]
40402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 60606 |
| Euler totient φ(n) | 20200 |
| Square | 1632321604 |
| Cube | 65949057444808 |
| Square root | 201.002488 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.0402 × |
40402 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and two |
| Binary (base 2) | 1001110111010010 |
| Octal (base 8) | 116722 |
| Hexadecimal (base 16) | 9DD2 |
| Base 3 | 2001102101 |
| As time | 40402 seconds = 11 h 13 min 22 s |
Is 40402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40402 ÷ 2 = 20201) | 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 5) | 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 10) | 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 40402 a prime number?
No. 40402 = 2 × 20201, so it is divisible by 2.
What are the factors of 40402?
1, 2, 20201, 40402.
What is 40402 in binary?
1001110111010010 (hexadecimal 9DD2, octal 116722).
What is the square root of 40402?
About 201.0025.
Is 40402 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40402?
40402 is a semiprime: 2 × 20201, the product of two primes.