The number 46725
46725 is a composite number with 24 divisors. Its prime factorisation is 3 × × 7 × 89. Divisors (24): 1, 3, 5, 7, 15, 21, 25, 35, 75, 89, 105, 175, 267, 445, 525, 623 … 46725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46725: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46725 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 46725 itself that is 42555, so 46725 is deficient (42555 is less than 46725). Euler's totient φ(46725) = 21120 numbers up to 46725 share no factor with it.
- 4
The digits of 46725 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46725 = 3 \times 5^{2} \times 7 \times 89 \]46725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 21120 |
| Square | 2183225625 |
| Cube | 102011217328125 |
| Square root | 216.159663 (= 5√1869) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.6725 × |
46725 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and twenty-five |
| Binary (base 2) | 1011011010000101 |
| Octal (base 8) | 133205 |
| Hexadecimal (base 16) | B685 |
| Base 3 | 2101002120 |
| As time | 46725 seconds = 12 h 58 min 45 s |
Is 46725 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 (46725 ÷ 3 = 15575) | 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 | Yes (46725 ÷ 5 = 9345) | 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 | Yes (46725 ÷ 7 = 6675) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 46725 a prime number?
No. 46725 = 3 × × 7 × 89, so it is divisible by 3.
What are the factors of 46725?
1, 3, 5, 7, 15, 21, 25, 35, 75, 89, 105, 175, 267, 445, 525, 623, 1335, 1869, 2225, 3115, 6675, 9345, 15575, 46725.
What is 46725 in binary?
1011011010000101 (hexadecimal B685, octal 133205).
What is the square root of 46725?
About 216.1597, exactly 5√1869.
Is 46725 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46725?
46725 is a happy number: repeatedly adding the squares of its digits reaches 1.