The number 42964
42964 is a composite number with 12 divisors. Its prime factorisation is × 23 × 467. Divisors (12): 1, 2, 4, 23, 46, 92, 467, 934, 1868, 10741, 21482, 42964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42964 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 42964 itself that is 35660, so 42964 is deficient (35660 is less than 42964). Euler's totient φ(42964) = 20504 numbers up to 42964 share no factor with it.
- 4
The digits of 42964 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42964 = 2^{2} \times 23 \times 467 \]42964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 20504 |
| Square | 1845905296 |
| Cube | 79307475137344 |
| Square root | 207.277592 (= 2√10741) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2964 × |
42964 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and sixty-four |
| Binary (base 2) | 1010011111010100 |
| Octal (base 8) | 123724 |
| Hexadecimal (base 16) | A7D4 |
| Base 3 | 2011221021 |
| As time | 42964 seconds = 11 h 56 min 4 s |
Is 42964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42964 ÷ 2 = 21482) | 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 (42964 ÷ 4 = 10741) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 42964 a prime number?
No. 42964 = × 23 × 467, so it is divisible by 2.
What are the factors of 42964?
1, 2, 4, 23, 46, 92, 467, 934, 1868, 10741, 21482, 42964.
What is 42964 in binary?
1010011111010100 (hexadecimal A7D4, octal 123724).
What is the square root of 42964?
About 207.2776, exactly 2√10741.
Is 42964 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 42964?
It is a composite number with 12 divisors.