The number 46973
46973 is a composite number with 4 divisors. Its prime factorisation is 107 × 439. Divisors (4): 1, 107, 439, 46973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46973: a semiprime: 107 × 439, the product of two primes.
- 2
46973 is composite. Its prime factorisation is
- 3
The divisors add up to 47520; without 46973 itself that is 547, so 46973 is deficient (547 is less than 46973). Euler's totient φ(46973) = 46428 numbers up to 46973 share no factor with it.
- 4
The digits of 46973 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46973 = 107 \times 439 \]
46973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 47520 |
| Euler totient φ(n) | 46428 |
| Square | 2206462729 |
| Cube | 103644173769317 |
| Square root | 216.732554 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6973 × |
46973 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and seventy-three |
| Binary (base 2) | 1011011101111101 |
| Octal (base 8) | 133575 |
| Hexadecimal (base 16) | B77D |
| Base 3 | 2101102202 |
| As time | 46973 seconds = 13 h 2 min 53 s |
Is 46973 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 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 | No (remainder 2) | 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 3) | 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 46973 a prime number?
No. 46973 = 107 × 439, so it is divisible by 107.
What are the factors of 46973?
1, 107, 439, 46973.
What is 46973 in binary?
1011011101111101 (hexadecimal B77D, octal 133575).
What is the square root of 46973?
About 216.7326.
Is 46973 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 46973?
46973 is a semiprime: 107 × 439, the product of two primes.