The number 46242
46242 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 367. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 367, 734, 1101, 2202 … 46242.
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How to work it out
- 1
What is special about 46242: a Harshad number: divisible by its digit sum 18.
- 2
46242 is composite. Its prime factorisation is
- 3
The divisors add up to 114816; without 46242 itself that is 68574, so 46242 is abundant (68574 is more than 46242). Euler's totient φ(46242) = 13176 numbers up to 46242 share no factor with it.
- 4
The digits of 46242 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46242 = 2 \times 3^{2} \times 7 \times 367 \]46242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114816 |
| Euler totient φ(n) | 13176 |
| Square | 2138322564 |
| Cube | 98880312004488 |
| Square root | 215.039531 (= 3√5138) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.6242 × |
46242 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand two hundred and forty-two |
| Binary (base 2) | 1011010010100010 |
| Octal (base 8) | 132242 |
| Hexadecimal (base 16) | B4A2 |
| Base 3 | 2100102200 |
| As time | 46242 seconds = 12 h 50 min 42 s |
Is 46242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46242 ÷ 2 = 23121) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46242 ÷ 3 = 15414) | 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 (46242 ÷ 6 = 7707) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46242 ÷ 7 = 6606) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46242 ÷ 9 = 5138) | 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 9) | 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 46242 a prime number?
No. 46242 = 2 × × 7 × 367, so it is divisible by 2.
What are the factors of 46242?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 367, 734, 1101, 2202, 2569, 3303, 5138, 6606, 7707, 15414, 23121, 46242.
What is 46242 in binary?
1011010010100010 (hexadecimal B4A2, octal 132242).
What is the square root of 46242?
About 215.0395, exactly 3√5138.
Is 46242 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46242?
46242 is a Harshad number: divisible by its digit sum 18.