The number 46662
46662 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 11 × 101. Divisors (32): 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 101, 154, 202 … 46662.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46662 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46662 is composite. Its prime factorisation is
- 3
The divisors add up to 117504; without 46662 itself that is 70842, so 46662 is abundant (70842 is more than 46662). Euler's totient φ(46662) = 12000 numbers up to 46662 share no factor with it.
- 4
The digits of 46662 add up to 24, 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
\[ 46662 = 2 \times 3 \times 7 \times 11 \times 101 \]
46662 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 117504 |
| Euler totient φ(n) | 12000 |
| Square | 2177342244 |
| Cube | 101599143789528 |
| Square root | 216.013888 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6662 × |
46662 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and sixty-two |
| Binary (base 2) | 1011011001000110 |
| Octal (base 8) | 133106 |
| Hexadecimal (base 16) | B646 |
| Base 3 | 2101000020 |
| As time | 46662 seconds = 12 h 57 min 42 s |
Is 46662 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46662 ÷ 2 = 23331) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46662 ÷ 3 = 15554) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (46662 ÷ 6 = 7777) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46662 ÷ 7 = 6666) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46662 ÷ 11 = 4242) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46662 a prime number?
No. 46662 = 2 × 3 × 7 × 11 × 101, so it is divisible by 2.
What are the factors of 46662?
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 101, 154, 202, 231, 303, 462, 606, 707, 1111, 1414, 2121, 2222, 3333, 4242, 6666, 7777, 15554, 23331, 46662.
What is 46662 in binary?
1011011001000110 (hexadecimal B646, octal 133106).
What is the square root of 46662?
About 216.0139.
Is 46662 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46662?
It is a composite number with 32 divisors.