The number 46542
46542 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 7757. Divisors (8): 1, 2, 3, 6, 7757, 15514, 23271, 46542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46542: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46542 is composite. Its prime factorisation is
- 3
The divisors add up to 93096; without 46542 itself that is 46554, so 46542 is abundant (46554 is more than 46542). Euler's totient φ(46542) = 15512 numbers up to 46542 share no factor with it.
- 4
The digits of 46542 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46542 = 2 \times 3 \times 7757 \]
46542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 93096 |
| Euler totient φ(n) | 15512 |
| Square | 2166157764 |
| Cube | 100817314652088 |
| Square root | 215.735950 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6542 × |
46542 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand five hundred and forty-two |
| Binary (base 2) | 1011010111001110 |
| Octal (base 8) | 132716 |
| Hexadecimal (base 16) | B5CE |
| Base 3 | 2100211210 |
| As time | 46542 seconds = 12 h 55 min 42 s |
Is 46542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46542 ÷ 2 = 23271) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46542 ÷ 3 = 15514) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (46542 ÷ 6 = 7757) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46542 a prime number?
No. 46542 = 2 × 3 × 7757, so it is divisible by 2.
What are the factors of 46542?
1, 2, 3, 6, 7757, 15514, 23271, 46542.
What is 46542 in binary?
1011010111001110 (hexadecimal B5CE, octal 132716).
What is the square root of 46542?
About 215.7359.
Is 46542 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46542?
46542 is a happy number: repeatedly adding the squares of its digits reaches 1.