The number 16402
16402 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 139. Divisors (8): 1, 2, 59, 118, 139, 278, 8201, 16402.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16402 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16402 is composite. Its prime factorisation is
- 3
The divisors add up to 25200; without 16402 itself that is 8798, so 16402 is deficient (8798 is less than 16402). Euler's totient φ(16402) = 8004 numbers up to 16402 share no factor with it.
- 4
The digits of 16402 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16402 = 2 \times 59 \times 139 \]
16402 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25200 |
| Euler totient φ(n) | 8004 |
| Square | 269025604 |
| Cube | 4412557956808 |
| Square root | 128.070293 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6402 × |
16402 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and two |
| Binary (base 2) | 100000000010010 |
| Octal (base 8) | 40022 |
| Hexadecimal (base 16) | 4012 |
| Base 3 | 211111111 |
| As time | 16402 seconds = 4 h 33 min 22 s |
Is 16402 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16402 ÷ 2 = 8201) | 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 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 4) | 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 16402 a prime number?
No. 16402 = 2 × 59 × 139, so it is divisible by 2.
What are the factors of 16402?
1, 2, 59, 118, 139, 278, 8201, 16402.
What is 16402 in binary?
100000000010010 (hexadecimal 4012, octal 40022).
What is the square root of 16402?
About 128.0703.
Is 16402 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16402?
It is a composite number with 8 divisors.