The number 45942
45942 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 19 × 31. Divisors (32): 1, 2, 3, 6, 13, 19, 26, 31, 38, 39, 57, 62, 78, 93, 114, 186 … 45942.
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How to work it out
- 1
45942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
45942 is composite. Its prime factorisation is
- 3
The divisors add up to 107520; without 45942 itself that is 61578, so 45942 is abundant (61578 is more than 45942). Euler's totient φ(45942) = 12960 numbers up to 45942 share no factor with it.
- 4
The digits of 45942 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
\[ 45942 = 2 \times 3 \times 13 \times 19 \times 31 \]
45942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 107520 |
| Euler totient φ(n) | 12960 |
| Square | 2110667364 |
| Cube | 96968280036888 |
| Square root | 214.340850 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.5942 × |
45942 in other forms
| Form | Value |
|---|---|
| In words | forty-five thousand nine hundred and forty-two |
| Binary (base 2) | 1011001101110110 |
| Octal (base 8) | 131566 |
| Hexadecimal (base 16) | B376 |
| Base 3 | 2100000120 |
| As time | 45942 seconds = 12 h 45 min 42 s |
Is 45942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (45942 ÷ 2 = 22971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (45942 ÷ 3 = 15314) | 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 (45942 ÷ 6 = 7657) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 6) | 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 45942 a prime number?
No. 45942 = 2 × 3 × 13 × 19 × 31, so it is divisible by 2.
What are the factors of 45942?
1, 2, 3, 6, 13, 19, 26, 31, 38, 39, 57, 62, 78, 93, 114, 186, 247, 403, 494, 589, 741, 806, 1178, 1209, 1482, 1767, 2418, 3534, 7657, 15314, 22971, 45942.
What is 45942 in binary?
1011001101110110 (hexadecimal B376, octal 131566).
What is the square root of 45942?
About 214.3409.
Is 45942 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 45942?
It is a composite number with 32 divisors.