The number 46995
46995 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 241. Divisors (16): 1, 3, 5, 13, 15, 39, 65, 195, 241, 723, 1205, 3133, 3615, 9399, 15665, 46995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46995: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46995 is composite. Its prime factorisation is
- 3
The divisors add up to 81312; without 46995 itself that is 34317, so 46995 is deficient (34317 is less than 46995). Euler's totient φ(46995) = 23040 numbers up to 46995 share no factor with it.
- 4
The digits of 46995 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46995 = 3 \times 5 \times 13 \times 241 \]
46995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 81312 |
| Euler totient φ(n) | 23040 |
| Square | 2208530025 |
| Cube | 103789868524875 |
| Square root | 216.783302 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6995 × |
46995 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and ninety-five |
| Binary (base 2) | 1011011110010011 |
| Octal (base 8) | 133623 |
| Hexadecimal (base 16) | B793 |
| Base 3 | 2101110120 |
| As time | 46995 seconds = 13 h 3 min 15 s |
Is 46995 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 (46995 ÷ 3 = 15665) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46995 ÷ 5 = 9399) | 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 4) | 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 3) | 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 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46995 a prime number?
No. 46995 = 3 × 5 × 13 × 241, so it is divisible by 3.
What are the factors of 46995?
1, 3, 5, 13, 15, 39, 65, 195, 241, 723, 1205, 3133, 3615, 9399, 15665, 46995.
What is 46995 in binary?
1011011110010011 (hexadecimal B793, octal 133623).
What is the square root of 46995?
About 216.7833.
Is 46995 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 46995?
46995 is a happy number: repeatedly adding the squares of its digits reaches 1.