The number 74180
74180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3709. Divisors (12): 1, 2, 4, 5, 10, 20, 3709, 7418, 14836, 18545, 37090, 74180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74180: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.
- 2
74180 is composite. Its prime factorisation is
- 3
The divisors add up to 155820; without 74180 itself that is 81640, so 74180 is abundant (81640 is more than 74180). Euler's totient φ(74180) = 29664 numbers up to 74180 share no factor with it.
- 4
The digits of 74180 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74180 = 2^{2} \times 5 \times 3709 \]74180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 155820 |
| Euler totient φ(n) | 29664 |
| Square | 5502672400 |
| Cube | 408188238632000 |
| Square root | 272.360056 (= 2√18545) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.418 × |
74180 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand one hundred and eighty |
| Binary (base 2) | 10010000111000100 |
| Octal (base 8) | 220704 |
| Hexadecimal (base 16) | 121C4 |
| Base 3 | 10202202102 |
| As time | 74180 seconds = 20 h 36 min 20 s |
Is 74180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74180 ÷ 2 = 37090) | 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 (74180 ÷ 4 = 18545) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74180 ÷ 5 = 14836) | 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 | No (remainder 1) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74180 ÷ 10 = 7418) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74180 a prime number?
No. 74180 = × 5 × 3709, so it is divisible by 2.
What are the factors of 74180?
1, 2, 4, 5, 10, 20, 3709, 7418, 14836, 18545, 37090, 74180.
What is 74180 in binary?
10010000111000100 (hexadecimal 121C4, octal 220704).
What is the square root of 74180?
About 272.3601, exactly 2√18545.
Is 74180 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 74180?
74180 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 20.