The number 16042
16042 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 617. Divisors (8): 1, 2, 13, 26, 617, 1234, 8021, 16042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16042: a Harshad number: divisible by its digit sum 13.
- 2
16042 is composite. Its prime factorisation is
- 3
The divisors add up to 25956; without 16042 itself that is 9914, so 16042 is deficient (9914 is less than 16042). Euler's totient φ(16042) = 7392 numbers up to 16042 share no factor with it.
- 4
The digits of 16042 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
\[ 16042 = 2 \times 13 \times 617 \]
16042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25956 |
| Euler totient φ(n) | 7392 |
| Square | 257345764 |
| Cube | 4128340746088 |
| Square root | 126.657017 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6042 × |
16042 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and forty-two |
| Binary (base 2) | 11111010101010 |
| Octal (base 8) | 37252 |
| Hexadecimal (base 16) | 3EAA |
| Base 3 | 211000011 |
| As time | 16042 seconds = 4 h 27 min 22 s |
Is 16042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16042 ÷ 2 = 8021) | 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 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 4) | 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 16042 a prime number?
No. 16042 = 2 × 13 × 617, so it is divisible by 2.
What are the factors of 16042?
1, 2, 13, 26, 617, 1234, 8021, 16042.
What is 16042 in binary?
11111010101010 (hexadecimal 3EAA, octal 37252).
What is the square root of 16042?
About 126.6570.
Is 16042 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16042?
16042 is a Harshad number: divisible by its digit sum 13.