The number 46965
46965 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 31 × 101. Divisors (16): 1, 3, 5, 15, 31, 93, 101, 155, 303, 465, 505, 1515, 3131, 9393, 15655, 46965.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46965 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46965 is composite. Its prime factorisation is
- 3
The divisors add up to 78336; without 46965 itself that is 31371, so 46965 is deficient (31371 is less than 46965). Euler's totient φ(46965) = 24000 numbers up to 46965 share no factor with it.
- 4
The digits of 46965 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46965 = 3 \times 5 \times 31 \times 101 \]
46965 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78336 |
| Euler totient φ(n) | 24000 |
| Square | 2205711225 |
| Cube | 103591227682125 |
| Square root | 216.714097 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6965 × |
46965 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and sixty-five |
| Binary (base 2) | 1011011101110101 |
| Octal (base 8) | 133565 |
| Hexadecimal (base 16) | B775 |
| Base 3 | 2101102110 |
| As time | 46965 seconds = 13 h 2 min 45 s |
Is 46965 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 | Yes (46965 ÷ 3 = 15655) | 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 (46965 ÷ 5 = 9393) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46965 a prime number?
No. 46965 = 3 × 5 × 31 × 101, so it is divisible by 3.
What are the factors of 46965?
1, 3, 5, 15, 31, 93, 101, 155, 303, 465, 505, 1515, 3131, 9393, 15655, 46965.
What is 46965 in binary?
1011011101110101 (hexadecimal B775, octal 133565).
What is the square root of 46965?
About 216.7141.
Is 46965 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46965?
It is a composite number with 16 divisors.