The number 74104
74104 is a composite number with 16 divisors. Its prime factorisation is × 59 × 157. Divisors (16): 1, 2, 4, 8, 59, 118, 157, 236, 314, 472, 628, 1256, 9263, 18526, 37052, 74104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74104: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74104 is composite. Its prime factorisation is
- 3
The divisors add up to 142200; without 74104 itself that is 68096, so 74104 is deficient (68096 is less than 74104). Euler's totient φ(74104) = 36192 numbers up to 74104 share no factor with it.
- 4
The digits of 74104 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74104 = 2^{3} \times 59 \times 157 \]74104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142200 |
| Euler totient φ(n) | 36192 |
| Square | 5491402816 |
| Cube | 406934914276864 |
| Square root | 272.220499 (= 2√18526) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.4104 × |
74104 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and four |
| Binary (base 2) | 10010000101111000 |
| Octal (base 8) | 220570 |
| Hexadecimal (base 16) | 12178 |
| Base 3 | 10202122121 |
| As time | 74104 seconds = 20 h 35 min 4 s |
Is 74104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74104 ÷ 2 = 37052) | 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 | Yes (74104 ÷ 4 = 18526) | 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 2) | 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 | Yes (74104 ÷ 8 = 9263) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74104 a prime number?
No. 74104 = × 59 × 157, so it is divisible by 2.
What are the factors of 74104?
1, 2, 4, 8, 59, 118, 157, 236, 314, 472, 628, 1256, 9263, 18526, 37052, 74104.
What is 74104 in binary?
10010000101111000 (hexadecimal 12178, octal 220570).
What is the square root of 74104?
About 272.2205, exactly 2√18526.
Is 74104 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74104?
74104 is a happy number: repeatedly adding the squares of its digits reaches 1.