The number 46700
46700 is a composite number with 18 divisors. Its prime factorisation is × × 467. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 467, 934, 1868, 2335, 4670, 9340, 11675 … 46700.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46700 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46700 is composite. Its prime factorisation is
- 3
The divisors add up to 101556; without 46700 itself that is 54856, so 46700 is abundant (54856 is more than 46700). Euler's totient φ(46700) = 18640 numbers up to 46700 share no factor with it.
- 4
The digits of 46700 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46700 = 2^{2} \times 5^{2} \times 467 \]46700 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 101556 |
| Euler totient φ(n) | 18640 |
| Square | 2180890000 |
| Cube | 101847563000000 |
| Square root | 216.101828 (= 10√467) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.67 × |
46700 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred |
| Binary (base 2) | 1011011001101100 |
| Octal (base 8) | 133154 |
| Hexadecimal (base 16) | B66C |
| Base 3 | 2101001122 |
| As time | 46700 seconds = 12 h 58 min 20 s |
Is 46700 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46700 ÷ 2 = 23350) | 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 | Yes (46700 ÷ 4 = 11675) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46700 ÷ 5 = 9340) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46700 ÷ 10 = 4670) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46700 a prime number?
No. 46700 = × × 467, so it is divisible by 2.
What are the factors of 46700?
1, 2, 4, 5, 10, 20, 25, 50, 100, 467, 934, 1868, 2335, 4670, 9340, 11675, 23350, 46700.
What is 46700 in binary?
1011011001101100 (hexadecimal B66C, octal 133154).
What is the square root of 46700?
About 216.1018, exactly 10√467.
Is 46700 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 46700?
It is a composite number with 18 divisors.