The number 46967
46967 is a composite number with 4 divisors. Its prime factorisation is 67 × 701. Divisors (4): 1, 67, 701, 46967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46967: a semiprime: 67 × 701, the product of two primes.
- 2
46967 is composite. Its prime factorisation is
- 3
The divisors add up to 47736; without 46967 itself that is 769, so 46967 is deficient (769 is less than 46967). Euler's totient φ(46967) = 46200 numbers up to 46967 share no factor with it.
- 4
The digits of 46967 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46967 = 67 \times 701 \]
46967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 47736 |
| Euler totient φ(n) | 46200 |
| Square | 2205899089 |
| Cube | 103604462513063 |
| Square root | 216.718712 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6967 × |
46967 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and sixty-seven |
| Binary (base 2) | 1011011101110111 |
| Octal (base 8) | 133567 |
| Hexadecimal (base 16) | B777 |
| Base 3 | 2101102112 |
| As time | 46967 seconds = 13 h 2 min 47 s |
Is 46967 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 3) | 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 5) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46967 a prime number?
No. 46967 = 67 × 701, so it is divisible by 67.
What are the factors of 46967?
1, 67, 701, 46967.
What is 46967 in binary?
1011011101110111 (hexadecimal B777, octal 133567).
What is the square root of 46967?
About 216.7187.
Is 46967 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 46967?
46967 is a semiprime: 67 × 701, the product of two primes.