The number 46731
46731 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 421. Divisors (8): 1, 3, 37, 111, 421, 1263, 15577, 46731.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46731 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46731 is composite. Its prime factorisation is
- 3
The divisors add up to 64144; without 46731 itself that is 17413, so 46731 is deficient (17413 is less than 46731). Euler's totient φ(46731) = 30240 numbers up to 46731 share no factor with it.
- 4
The digits of 46731 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46731 = 3 \times 37 \times 421 \]
46731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64144 |
| Euler totient φ(n) | 30240 |
| Square | 2183786361 |
| Cube | 102050520435891 |
| Square root | 216.173541 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.6731 × |
46731 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and thirty-one |
| Binary (base 2) | 1011011010001011 |
| Octal (base 8) | 133213 |
| Hexadecimal (base 16) | B68B |
| Base 3 | 2101002210 |
| As time | 46731 seconds = 12 h 58 min 51 s |
Is 46731 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 (46731 ÷ 3 = 15577) | 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 1) | 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 6) | 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 3) | 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 1) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46731 a prime number?
No. 46731 = 3 × 37 × 421, so it is divisible by 3.
What are the factors of 46731?
1, 3, 37, 111, 421, 1263, 15577, 46731.
What is 46731 in binary?
1011011010001011 (hexadecimal B68B, octal 133213).
What is the square root of 46731?
About 216.1735.
Is 46731 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46731?
It is a composite number with 8 divisors.