The number 42965
42965 is a composite number with 8 divisors. Its prime factorisation is 5 × 13 × 661. Divisors (8): 1, 5, 13, 65, 661, 3305, 8593, 42965.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42965 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42965 is composite. Its prime factorisation is
- 3
The divisors add up to 55608; without 42965 itself that is 12643, so 42965 is deficient (12643 is less than 42965). Euler's totient φ(42965) = 31680 numbers up to 42965 share no factor with it.
- 4
The digits of 42965 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42965 = 5 \times 13 \times 661 \]
42965 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55608 |
| Euler totient φ(n) | 31680 |
| Square | 1845991225 |
| Cube | 79313012982125 |
| Square root | 207.280004 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2965 × |
42965 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and sixty-five |
| Binary (base 2) | 1010011111010101 |
| Octal (base 8) | 123725 |
| Hexadecimal (base 16) | A7D5 |
| Base 3 | 2011221022 |
| As time | 42965 seconds = 11 h 56 min 5 s |
Is 42965 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42965 ÷ 5 = 8593) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42965 a prime number?
No. 42965 = 5 × 13 × 661, so it is divisible by 5.
What are the factors of 42965?
1, 5, 13, 65, 661, 3305, 8593, 42965.
What is 42965 in binary?
1010011111010101 (hexadecimal A7D5, octal 123725).
What is the square root of 42965?
About 207.2800.
Is 42965 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 42965?
It is a composite number with 8 divisors.