The number 46917
46917 is a composite number with 12 divisors. Its prime factorisation is × 13 × 401. Divisors (12): 1, 3, 9, 13, 39, 117, 401, 1203, 3609, 5213, 15639, 46917.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46917 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46917 is composite. Its prime factorisation is
- 3
The divisors add up to 73164; without 46917 itself that is 26247, so 46917 is deficient (26247 is less than 46917). Euler's totient φ(46917) = 28800 numbers up to 46917 share no factor with it.
- 4
The digits of 46917 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46917 = 3^{2} \times 13 \times 401 \]46917 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73164 |
| Euler totient φ(n) | 28800 |
| Square | 2201204889 |
| Cube | 103273929777213 |
| Square root | 216.603324 (= 3√5213) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6917 × |
46917 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and seventeen |
| Binary (base 2) | 1011011101000101 |
| Octal (base 8) | 133505 |
| Hexadecimal (base 16) | B745 |
| Base 3 | 2101100200 |
| As time | 46917 seconds = 13 h 1 min 57 s |
Is 46917 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 (46917 ÷ 3 = 15639) | 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 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46917 ÷ 9 = 5213) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 46917 a prime number?
No. 46917 = × 13 × 401, so it is divisible by 3.
What are the factors of 46917?
1, 3, 9, 13, 39, 117, 401, 1203, 3609, 5213, 15639, 46917.
What is 46917 in binary?
1011011101000101 (hexadecimal B745, octal 133505).
What is the square root of 46917?
About 216.6033, exactly 3√5213.
Is 46917 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46917?
It is a composite number with 12 divisors.