The number 74136
74136 is a composite number with 16 divisors. Its prime factorisation is × 3 × 3089. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 3089, 6178, 9267, 12356, 18534, 24712, 37068, 74136.
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How to work it out
- 1
74136 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74136 is composite. Its prime factorisation is
- 3
The divisors add up to 185400; without 74136 itself that is 111264, so 74136 is abundant (111264 is more than 74136). Euler's totient φ(74136) = 24704 numbers up to 74136 share no factor with it.
- 4
The digits of 74136 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74136 = 2^{3} \times 3 \times 3089 \]74136 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 185400 |
| Euler totient φ(n) | 24704 |
| Square | 5496146496 |
| Cube | 407462316627456 |
| Square root | 272.279268 (= 2√18534) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4136 × |
74136 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and thirty-six |
| Binary (base 2) | 10010000110011000 |
| Octal (base 8) | 220630 |
| Hexadecimal (base 16) | 12198 |
| Base 3 | 10202200210 |
| As time | 74136 seconds = 20 h 35 min 36 s |
Is 74136 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74136 ÷ 2 = 37068) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74136 ÷ 3 = 24712) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74136 ÷ 4 = 18534) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74136 ÷ 6 = 12356) | 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 | Yes (74136 ÷ 8 = 9267) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74136 ÷ 12 = 6178) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74136 a prime number?
No. 74136 = × 3 × 3089, so it is divisible by 2.
What are the factors of 74136?
1, 2, 3, 4, 6, 8, 12, 24, 3089, 6178, 9267, 12356, 18534, 24712, 37068, 74136.
What is 74136 in binary?
10010000110011000 (hexadecimal 12198, octal 220630).
What is the square root of 74136?
About 272.2793, exactly 2√18534.
Is 74136 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74136?
It is a composite number with 16 divisors.