The number 46968
46968 is a composite number with 32 divisors. Its prime factorisation is × 3 × 19 × 103. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 103, 114, 152, 206 … 46968.
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How to work it out
- 1
46968 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46968 is composite. Its prime factorisation is
- 3
The divisors add up to 124800; without 46968 itself that is 77832, so 46968 is abundant (77832 is more than 46968). Euler's totient φ(46968) = 14688 numbers up to 46968 share no factor with it.
- 4
The digits of 46968 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46968 = 2^{3} \times 3 \times 19 \times 103 \]46968 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 124800 |
| Euler totient φ(n) | 14688 |
| Square | 2205993024 |
| Cube | 103611080351232 |
| Square root | 216.721019 (= 2√11742) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6968 × |
46968 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and sixty-eight |
| Binary (base 2) | 1011011101111000 |
| Octal (base 8) | 133570 |
| Hexadecimal (base 16) | B778 |
| Base 3 | 2101102120 |
| As time | 46968 seconds = 13 h 2 min 48 s |
Is 46968 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46968 ÷ 2 = 23484) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46968 ÷ 3 = 15656) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46968 ÷ 4 = 11742) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46968 ÷ 6 = 7828) | 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 (46968 ÷ 8 = 5871) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (46968 ÷ 12 = 3914) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46968 a prime number?
No. 46968 = × 3 × 19 × 103, so it is divisible by 2.
What are the factors of 46968?
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 103, 114, 152, 206, 228, 309, 412, 456, 618, 824, 1236, 1957, 2472, 3914, 5871, 7828, 11742, 15656, 23484, 46968.
What is 46968 in binary?
1011011101111000 (hexadecimal B778, octal 133570).
What is the square root of 46968?
About 216.7210, exactly 2√11742.
Is 46968 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 46968?
It is a composite number with 32 divisors.