The number 46665
46665 is a triangular number: 1 + 2 + … + 305 = 46665. Its prime factorisation is × 5 × 17 × 61. Divisors (24): 1, 3, 5, 9, 15, 17, 45, 51, 61, 85, 153, 183, 255, 305, 549, 765 … 46665.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46665: a triangular number: 1 + 2 + … + 305 = 46665.
- 2
46665 is composite. Its prime factorisation is
- 3
The divisors add up to 87048; without 46665 itself that is 40383, so 46665 is deficient (40383 is less than 46665). Euler's totient φ(46665) = 23040 numbers up to 46665 share no factor with it.
- 4
The digits of 46665 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46665 = 3^{2} \times 5 \times 17 \times 61 \]46665 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87048 |
| Euler totient φ(n) | 23040 |
| Square | 2177622225 |
| Cube | 101618741129625 |
| Square root | 216.020832 (= 3√5185) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6665 × |
46665 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and sixty-five |
| Binary (base 2) | 1011011001001001 |
| Octal (base 8) | 133111 |
| Hexadecimal (base 16) | B649 |
| Base 3 | 2101000100 |
| As time | 46665 seconds = 12 h 57 min 45 s |
Is 46665 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 (46665 ÷ 3 = 15555) | 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 (46665 ÷ 5 = 9333) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46665 ÷ 9 = 5185) | 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 3) | 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 46665 a prime number?
No. 46665 = × 5 × 17 × 61, so it is divisible by 3.
What are the factors of 46665?
1, 3, 5, 9, 15, 17, 45, 51, 61, 85, 153, 183, 255, 305, 549, 765, 915, 1037, 2745, 3111, 5185, 9333, 15555, 46665.
What is 46665 in binary?
1011011001001001 (hexadecimal B649, octal 133111).
What is the square root of 46665?
About 216.0208, exactly 3√5185.
Is 46665 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46665?
46665 is a triangular number: 1 + 2 + … + 305 = 46665.