The number 46701
46701 is a binary palindrome (1011011001101101). Its prime factorisation is × 5189. Divisors (6): 1, 3, 9, 5189, 15567, 46701.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46701: a binary palindrome (1011011001101101).
- 2
46701 is composite. Its prime factorisation is
- 3
The divisors add up to 67470; without 46701 itself that is 20769, so 46701 is deficient (20769 is less than 46701). Euler's totient φ(46701) = 31128 numbers up to 46701 share no factor with it.
- 4
The digits of 46701 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46701 = 3^{2} \times 5189 \]46701 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 67470 |
| Euler totient φ(n) | 31128 |
| Square | 2180983401 |
| Cube | 101854105810101 |
| Square root | 216.104142 (= 3√5189) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6701 × |
46701 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and one |
| Binary (base 2) | 1011011001101101 |
| Octal (base 8) | 133155 |
| Hexadecimal (base 16) | B66D |
| Base 3 | 2101001200 |
| As time | 46701 seconds = 12 h 58 min 21 s |
Is 46701 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 (46701 ÷ 3 = 15567) | 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 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46701 ÷ 9 = 5189) | 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 6) | 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 46701 a prime number?
No. 46701 = × 5189, so it is divisible by 3.
What are the factors of 46701?
1, 3, 9, 5189, 15567, 46701.
What is 46701 in binary?
1011011001101101 (hexadecimal B66D, octal 133155).
What is the square root of 46701?
About 216.1041, exactly 3√5189.
Is 46701 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46701?
46701 is a binary palindrome (1011011001101101).