The number 42174
42174 is a composite number with 32 divisors. Its prime factorisation is 2 × × 11 × 71. Divisors (32): 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 71, 99, 142, 198 … 42174.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42174: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
42174 is composite. Its prime factorisation is
- 3
The divisors add up to 103680; without 42174 itself that is 61506, so 42174 is abundant (61506 is more than 42174). Euler's totient φ(42174) = 12600 numbers up to 42174 share no factor with it.
- 4
The digits of 42174 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 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42174 = 2 \times 3^{3} \times 11 \times 71 \]42174 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 103680 |
| Euler totient φ(n) | 12600 |
| Square | 1778646276 |
| Cube | 75012628044024 |
| Square root | 205.363093 (= 3√4686) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.2174 × |
42174 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and seventy-four |
| Binary (base 2) | 1010010010111110 |
| Octal (base 8) | 122276 |
| Hexadecimal (base 16) | A4BE |
| Base 3 | 2010212000 |
| As time | 42174 seconds = 11 h 42 min 54 s |
Is 42174 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42174 ÷ 2 = 21087) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42174 ÷ 3 = 14058) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42174 ÷ 6 = 7029) | 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 | Yes (42174 ÷ 9 = 4686) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42174 ÷ 11 = 3834) | 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 42174 a prime number?
No. 42174 = 2 × × 11 × 71, so it is divisible by 2.
What are the factors of 42174?
1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 71, 99, 142, 198, 213, 297, 426, 594, 639, 781, 1278, 1562, 1917, 2343, 3834, 4686, 7029, 14058, 21087, 42174.
What is 42174 in binary?
1010010010111110 (hexadecimal A4BE, octal 122276).
What is the square root of 42174?
About 205.3631, exactly 3√4686.
Is 42174 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42174?
42174 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.