The number 74080
74080 is a composite number with 24 divisors. Its prime factorisation is × 5 × 463. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 463, 926, 1852, 2315 … 74080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74080: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74080 is composite. Its prime factorisation is
- 3
The divisors add up to 175392; without 74080 itself that is 101312, so 74080 is abundant (101312 is more than 74080). Euler's totient φ(74080) = 29568 numbers up to 74080 share no factor with it.
- 4
The digits of 74080 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74080 = 2^{5} \times 5 \times 463 \]74080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 175392 |
| Euler totient φ(n) | 29568 |
| Square | 5487846400 |
| Cube | 406539661312000 |
| Square root | 272.176413 (= 4√4630) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.408 × |
74080 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and eighty |
| Binary (base 2) | 10010000101100000 |
| Octal (base 8) | 220540 |
| Hexadecimal (base 16) | 12160 |
| Base 3 | 10202121201 |
| As time | 74080 seconds = 20 h 34 min 40 s |
Is 74080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74080 ÷ 2 = 37040) | 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 (74080 ÷ 4 = 18520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74080 ÷ 5 = 14816) | 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 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 (74080 ÷ 8 = 9260) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74080 ÷ 10 = 7408) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 74080 a prime number?
No. 74080 = × 5 × 463, so it is divisible by 2.
What are the factors of 74080?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 463, 926, 1852, 2315, 3704, 4630, 7408, 9260, 14816, 18520, 37040, 74080.
What is 74080 in binary?
10010000101100000 (hexadecimal 12160, octal 220540).
What is the square root of 74080?
About 272.1764, exactly 4√4630.
Is 74080 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 74080?
74080 is a happy number: repeatedly adding the squares of its digits reaches 1.