The number 15042
15042 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 109. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 109, 138, 218, 327, 654, 2507, 5014, 7521, 15042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15042 is composite. Its prime factorisation is
- 3
The divisors add up to 31680; without 15042 itself that is 16638, so 15042 is abundant (16638 is more than 15042). Euler's totient φ(15042) = 4752 numbers up to 15042 share no factor with it.
- 4
The digits of 15042 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 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15042 = 2 \times 3 \times 23 \times 109 \]
15042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31680 |
| Euler totient φ(n) | 4752 |
| Square | 226261764 |
| Cube | 3403429454088 |
| Square root | 122.645832 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.5042 × |
15042 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and forty-two |
| Binary (base 2) | 11101011000010 |
| Octal (base 8) | 35302 |
| Hexadecimal (base 16) | 3AC2 |
| Base 3 | 202122010 |
| As time | 15042 seconds = 4 h 10 min 42 s |
Is 15042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15042 ÷ 2 = 7521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15042 ÷ 3 = 5014) | 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 (15042 ÷ 6 = 2507) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 15042 a prime number?
No. 15042 = 2 × 3 × 23 × 109, so it is divisible by 2.
What are the factors of 15042?
1, 2, 3, 6, 23, 46, 69, 109, 138, 218, 327, 654, 2507, 5014, 7521, 15042.
What is 15042 in binary?
11101011000010 (hexadecimal 3AC2, octal 35302).
What is the square root of 15042?
About 122.6458.
Is 15042 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 15042?
It is a composite number with 16 divisors.