The number 42952
42952 is a composite number with 32 divisors. Its prime factorisation is × 7 × 13 × 59. Divisors (32): 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 59, 91, 104, 118, 182 … 42952.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42952: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42952 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 42952 itself that is 57848, so 42952 is abundant (57848 is more than 42952). Euler's totient φ(42952) = 16704 numbers up to 42952 share no factor with it.
- 4
The digits of 42952 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42952 = 2^{3} \times 7 \times 13 \times 59 \]42952 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 16704 |
| Square | 1844874304 |
| Cube | 79241041105408 |
| Square root | 207.248643 (= 2√10738) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2952 × |
42952 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and fifty-two |
| Binary (base 2) | 1010011111001000 |
| Octal (base 8) | 123710 |
| Hexadecimal (base 16) | A7C8 |
| Base 3 | 2011220211 |
| As time | 42952 seconds = 11 h 55 min 52 s |
Is 42952 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42952 ÷ 2 = 21476) | 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 | Yes (42952 ÷ 4 = 10738) | 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 | Yes (42952 ÷ 7 = 6136) | 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 (42952 ÷ 8 = 5369) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42952 a prime number?
No. 42952 = × 7 × 13 × 59, so it is divisible by 2.
What are the factors of 42952?
1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 59, 91, 104, 118, 182, 236, 364, 413, 472, 728, 767, 826, 1534, 1652, 3068, 3304, 5369, 6136, 10738, 21476, 42952.
What is 42952 in binary?
1010011111001000 (hexadecimal A7C8, octal 123710).
What is the square root of 42952?
About 207.2486, exactly 2√10738.
Is 42952 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42952?
42952 is a happy number: repeatedly adding the squares of its digits reaches 1.