The number 74016
74016 is a composite number with 36 divisors. Its prime factorisation is × × 257. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 74016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74016: a Harshad number: divisible by its digit sum 18.
- 2
74016 is composite. Its prime factorisation is
- 3
The divisors add up to 211302; without 74016 itself that is 137286, so 74016 is abundant (137286 is more than 74016). Euler's totient φ(74016) = 24576 numbers up to 74016 share no factor with it.
- 4
The digits of 74016 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74016 = 2^{5} \times 3^{2} \times 257 \]74016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 211302 |
| Euler totient φ(n) | 24576 |
| Square | 5478368256 |
| Cube | 405486904836096 |
| Square root | 272.058817 (= 12√514) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4016 × |
74016 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and sixteen |
| Binary (base 2) | 10010000100100000 |
| Octal (base 8) | 220440 |
| Hexadecimal (base 16) | 12120 |
| Base 3 | 10202112100 |
| As time | 74016 seconds = 20 h 33 min 36 s |
Is 74016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74016 ÷ 2 = 37008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74016 ÷ 3 = 24672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74016 ÷ 4 = 18504) | 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 (74016 ÷ 6 = 12336) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (74016 ÷ 8 = 9252) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74016 ÷ 9 = 8224) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74016 ÷ 12 = 6168) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74016 a prime number?
No. 74016 = × × 257, so it is divisible by 2.
What are the factors of 74016?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 257, 288, 514, 771, 1028, 1542, 2056, 2313, 3084, 4112, 4626, 6168, 8224, 9252, 12336, 18504, 24672, 37008, 74016.
What is 74016 in binary?
10010000100100000 (hexadecimal 12120, octal 220440).
What is the square root of 74016?
About 272.0588, exactly 12√514.
Is 74016 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74016?
74016 is a Harshad number: divisible by its digit sum 18.