The number 74014
74014 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 1609. Divisors (8): 1, 2, 23, 46, 1609, 3218, 37007, 74014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74014: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74014 is composite. Its prime factorisation is
- 3
The divisors add up to 115920; without 74014 itself that is 41906, so 74014 is deficient (41906 is less than 74014). Euler's totient φ(74014) = 35376 numbers up to 74014 share no factor with it.
- 4
The digits of 74014 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74014 = 2 \times 23 \times 1609 \]
74014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 115920 |
| Euler totient φ(n) | 35376 |
| Square | 5478072196 |
| Cube | 405454035514744 |
| Square root | 272.055141 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4014 × |
74014 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and fourteen |
| Binary (base 2) | 10010000100011110 |
| Octal (base 8) | 220436 |
| Hexadecimal (base 16) | 1211E |
| Base 3 | 10202112021 |
| As time | 74014 seconds = 20 h 33 min 34 s |
Is 74014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74014 ÷ 2 = 37007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 7) | 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 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74014 a prime number?
No. 74014 = 2 × 23 × 1609, so it is divisible by 2.
What are the factors of 74014?
1, 2, 23, 46, 1609, 3218, 37007, 74014.
What is 74014 in binary?
10010000100011110 (hexadecimal 1211E, octal 220436).
What is the square root of 74014?
About 272.0551.
Is 74014 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74014?
74014 is a happy number: repeatedly adding the squares of its digits reaches 1.