The number 42152
42152 is a composite number with 16 divisors. Its prime factorisation is × 11 × 479. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 479, 958, 1916, 3832, 5269, 10538, 21076, 42152.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42152 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42152 is composite. Its prime factorisation is
- 3
The divisors add up to 86400; without 42152 itself that is 44248, so 42152 is abundant (44248 is more than 42152). Euler's totient φ(42152) = 19120 numbers up to 42152 share no factor with it.
- 4
The digits of 42152 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42152 = 2^{3} \times 11 \times 479 \]42152 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 86400 |
| Euler totient φ(n) | 19120 |
| Square | 1776791104 |
| Cube | 74895298615808 |
| Square root | 205.309522 (= 2√10538) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2152 × |
42152 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and fifty-two |
| Binary (base 2) | 1010010010101000 |
| Octal (base 8) | 122250 |
| Hexadecimal (base 16) | A4A8 |
| Base 3 | 2010211012 |
| As time | 42152 seconds = 11 h 42 min 32 s |
Is 42152 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42152 ÷ 2 = 21076) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42152 ÷ 4 = 10538) | 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 2) | 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 | Yes (42152 ÷ 8 = 5269) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (42152 ÷ 11 = 3832) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42152 a prime number?
No. 42152 = × 11 × 479, so it is divisible by 2.
What are the factors of 42152?
1, 2, 4, 8, 11, 22, 44, 88, 479, 958, 1916, 3832, 5269, 10538, 21076, 42152.
What is 42152 in binary?
1010010010101000 (hexadecimal A4A8, octal 122250).
What is the square root of 42152?
About 205.3095, exactly 2√10538.
Is 42152 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42152?
It is a composite number with 16 divisors.