The number 74816
74816 is a composite number with 28 divisors. Its prime factorisation is × 7 × 167. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 167, 224, 334, 448 … 74816.
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How to work it out
- 1
74816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74816 is composite. Its prime factorisation is
- 3
The divisors add up to 170688; without 74816 itself that is 95872, so 74816 is abundant (95872 is more than 74816). Euler's totient φ(74816) = 31872 numbers up to 74816 share no factor with it.
- 4
The digits of 74816 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74816 = 2^{6} \times 7 \times 167 \]74816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 170688 |
| Euler totient φ(n) | 31872 |
| Square | 5597433856 |
| Cube | 418777611370496 |
| Square root | 273.525136 (= 8√1169) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4816 × |
74816 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand eight hundred and sixteen |
| Binary (base 2) | 10010010001000000 |
| Octal (base 8) | 222100 |
| Hexadecimal (base 16) | 12440 |
| Base 3 | 10210121222 |
| As time | 74816 seconds = 20 h 46 min 56 s |
Is 74816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74816 ÷ 2 = 37408) | 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 (74816 ÷ 4 = 18704) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74816 ÷ 7 = 10688) | 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 (74816 ÷ 8 = 9352) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | 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 74816 a prime number?
No. 74816 = × 7 × 167, so it is divisible by 2.
What are the factors of 74816?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 167, 224, 334, 448, 668, 1169, 1336, 2338, 2672, 4676, 5344, 9352, 10688, 18704, 37408, 74816.
What is 74816 in binary?
10010010001000000 (hexadecimal 12440, octal 222100).
What is the square root of 74816?
About 273.5251, exactly 8√1169.
Is 74816 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 74816?
It is a composite number with 28 divisors.