The number 74108
74108 is a composite number with 12 divisors. Its prime factorisation is × 97 × 191. Divisors (12): 1, 2, 4, 97, 191, 194, 382, 388, 764, 18527, 37054, 74108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74108: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74108 is composite. Its prime factorisation is
- 3
The divisors add up to 131712; without 74108 itself that is 57604, so 74108 is deficient (57604 is less than 74108). Euler's totient φ(74108) = 36480 numbers up to 74108 share no factor with it.
- 4
The digits of 74108 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74108 = 2^{2} \times 97 \times 191 \]74108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 131712 |
| Euler totient φ(n) | 36480 |
| Square | 5491995664 |
| Cube | 407000814667712 |
| Square root | 272.227846 (= 2√18527) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.4108 × |
74108 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and eight |
| Binary (base 2) | 10010000101111100 |
| Octal (base 8) | 220574 |
| Hexadecimal (base 16) | 1217C |
| Base 3 | 10202122202 |
| As time | 74108 seconds = 20 h 35 min 8 s |
Is 74108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74108 ÷ 2 = 37054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74108 ÷ 4 = 18527) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74108 a prime number?
No. 74108 = × 97 × 191, so it is divisible by 2.
What are the factors of 74108?
1, 2, 4, 97, 191, 194, 382, 388, 764, 18527, 37054, 74108.
What is 74108 in binary?
10010000101111100 (hexadecimal 1217C, octal 220574).
What is the square root of 74108?
About 272.2278, exactly 2√18527.
Is 74108 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74108?
74108 is a happy number: repeatedly adding the squares of its digits reaches 1.