The number 46500
46500 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 31. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62 … 46500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46500: a Harshad number: divisible by its digit sum 15.
- 2
46500 is composite. Its prime factorisation is
- 3
The divisors add up to 139776; without 46500 itself that is 93276, so 46500 is abundant (93276 is more than 46500). Euler's totient φ(46500) = 12000 numbers up to 46500 share no factor with it.
- 4
The digits of 46500 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46500 = 2^{2} \times 3 \times 5^{3} \times 31 \]46500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 139776 |
| Euler totient φ(n) | 12000 |
| Square | 2162250000 |
| Cube | 100544625000000 |
| Square root | 215.638587 (= 10√465) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.65 × |
46500 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand five hundred |
| Binary (base 2) | 1011010110100100 |
| Octal (base 8) | 132644 |
| Hexadecimal (base 16) | B5A4 |
| Base 3 | 2100210020 |
| As time | 46500 seconds = 12 h 55 min 0 s |
Is 46500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46500 ÷ 2 = 23250) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46500 ÷ 3 = 15500) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46500 ÷ 4 = 11625) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46500 ÷ 5 = 9300) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46500 ÷ 6 = 7750) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46500 ÷ 10 = 4650) | 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 | Yes (46500 ÷ 12 = 3875) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46500 a prime number?
No. 46500 = × 3 × × 31, so it is divisible by 2.
What are the factors of 46500?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 125, 150, 155, 186, 250, 300, 310, 372, 375, 465, 500, 620, 750, 775, 930, 1500, 1550, 1860, 2325, 3100, 3875, 4650, 7750, 9300, 11625, 15500, 23250, 46500.
What is 46500 in binary?
1011010110100100 (hexadecimal B5A4, octal 132644).
What is the square root of 46500?
About 215.6386, exactly 10√465.
Is 46500 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 46500?
46500 is a Harshad number: divisible by its digit sum 15.