The number 46013
46013 is a composite number with 8 divisors. Its prime factorisation is 11 × 47 × 89. Divisors (8): 1, 11, 47, 89, 517, 979, 4183, 46013.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46013 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46013 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 46013 itself that is 5827, so 46013 is deficient (5827 is less than 46013). Euler's totient φ(46013) = 40480 numbers up to 46013 share no factor with it.
- 4
The digits of 46013 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 238 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46013 = 11 \times 47 \times 89 \]
46013 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 40480 |
| Square | 2117196169 |
| Cube | 97418547324197 |
| Square root | 214.506410 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 238 |
| Scientific notation | 4.6013 × |
46013 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and thirteen |
| Binary (base 2) | 1011001110111101 |
| Octal (base 8) | 131675 |
| Hexadecimal (base 16) | B3BD |
| Base 3 | 2100010012 |
| As time | 46013 seconds = 12 h 46 min 53 s |
Is 46013 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 | No (remainder 2) | 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 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (46013 ÷ 11 = 4183) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46013 a prime number?
No. 46013 = 11 × 47 × 89, so it is divisible by 11.
What are the factors of 46013?
1, 11, 47, 89, 517, 979, 4183, 46013.
What is 46013 in binary?
1011001110111101 (hexadecimal B3BD, octal 131675).
What is the square root of 46013?
About 214.5064.
Is 46013 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 46013?
It is a composite number with 8 divisors.