The number 46750
46750 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 17. Divisors (32): 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 125, 170, 187 … 46750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46750: a Harshad number: divisible by its digit sum 22.
- 2
46750 is composite. Its prime factorisation is
- 3
The divisors add up to 101088; without 46750 itself that is 54338, so 46750 is abundant (54338 is more than 46750). Euler's totient φ(46750) = 16000 numbers up to 46750 share no factor with it.
- 4
The digits of 46750 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46750 = 2 \times 5^{3} \times 11 \times 17 \]46750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 101088 |
| Euler totient φ(n) | 16000 |
| Square | 2185562500 |
| Cube | 102175046875000 |
| Square root | 216.217483 (= 5√1870) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.675 × |
46750 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and fifty |
| Binary (base 2) | 1011011010011110 |
| Octal (base 8) | 133236 |
| Hexadecimal (base 16) | B69E |
| Base 3 | 2101010111 |
| As time | 46750 seconds = 12 h 59 min 10 s |
Is 46750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46750 ÷ 2 = 23375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46750 ÷ 5 = 9350) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46750 ÷ 10 = 4675) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46750 ÷ 11 = 4250) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46750 a prime number?
No. 46750 = 2 × × 11 × 17, so it is divisible by 2.
What are the factors of 46750?
1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 125, 170, 187, 250, 275, 374, 425, 550, 850, 935, 1375, 1870, 2125, 2750, 4250, 4675, 9350, 23375, 46750.
What is 46750 in binary?
1011011010011110 (hexadecimal B69E, octal 133236).
What is the square root of 46750?
About 216.2175, exactly 5√1870.
Is 46750 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46750?
46750 is a Harshad number: divisible by its digit sum 22.