The number 46713
46713 is a composite number with 8 divisors. Its prime factorisation is 3 × 23 × 677. Divisors (8): 1, 3, 23, 69, 677, 2031, 15571, 46713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46713 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46713 is composite. Its prime factorisation is
- 3
The divisors add up to 65088; without 46713 itself that is 18375, so 46713 is deficient (18375 is less than 46713). Euler's totient φ(46713) = 29744 numbers up to 46713 share no factor with it.
- 4
The digits of 46713 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 207 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46713 = 3 \times 23 \times 677 \]
46713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 65088 |
| Euler totient φ(n) | 29744 |
| Square | 2182104369 |
| Cube | 101932641389097 |
| Square root | 216.131904 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 207 |
| Scientific notation | 4.6713 × |
46713 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and thirteen |
| Binary (base 2) | 1011011001111001 |
| Octal (base 8) | 133171 |
| Hexadecimal (base 16) | B679 |
| Base 3 | 2101002010 |
| As time | 46713 seconds = 12 h 58 min 33 s |
Is 46713 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 (46713 ÷ 3 = 15571) | 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 3) | 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 2) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 46713 a prime number?
No. 46713 = 3 × 23 × 677, so it is divisible by 3.
What are the factors of 46713?
1, 3, 23, 69, 677, 2031, 15571, 46713.
What is 46713 in binary?
1011011001111001 (hexadecimal B679, octal 133171).
What is the square root of 46713?
About 216.1319.
Is 46713 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46713?
It is a composite number with 8 divisors.