The number 74142
74142 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1373. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1373, 2746, 4119, 8238, 12357, 24714, 37071, 74142.
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How to work it out
- 1
What is special about 74142: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
74142 is composite. Its prime factorisation is
- 3
The divisors add up to 164880; without 74142 itself that is 90738, so 74142 is abundant (90738 is more than 74142). Euler's totient φ(74142) = 24696 numbers up to 74142 share no factor with it.
- 4
The digits of 74142 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74142 = 2 \times 3^{3} \times 1373 \]74142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 164880 |
| Euler totient φ(n) | 24696 |
| Square | 5497036164 |
| Cube | 407561255271288 |
| Square root | 272.290286 (= 3√8238) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4142 × |
74142 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and forty-two |
| Binary (base 2) | 10010000110011110 |
| Octal (base 8) | 220636 |
| Hexadecimal (base 16) | 1219E |
| Base 3 | 10202201000 |
| As time | 74142 seconds = 20 h 35 min 42 s |
Is 74142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74142 ÷ 2 = 37071) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74142 ÷ 3 = 24714) | 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 (74142 ÷ 6 = 12357) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (74142 ÷ 9 = 8238) | 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 2) | 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 74142 a prime number?
No. 74142 = 2 × × 1373, so it is divisible by 2.
What are the factors of 74142?
1, 2, 3, 6, 9, 18, 27, 54, 1373, 2746, 4119, 8238, 12357, 24714, 37071, 74142.
What is 74142 in binary?
10010000110011110 (hexadecimal 1219E, octal 220636).
What is the square root of 74142?
About 272.2903, exactly 3√8238.
Is 74142 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74142?
74142 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.