The number 74980
74980 is a composite number with 24 divisors. Its prime factorisation is × 5 × 23 × 163. Divisors (24): 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 163, 230, 326, 460, 652, 815 … 74980.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74980 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74980 is composite. Its prime factorisation is
- 3
The divisors add up to 165312; without 74980 itself that is 90332, so 74980 is abundant (90332 is more than 74980). Euler's totient φ(74980) = 28512 numbers up to 74980 share no factor with it.
- 4
The digits of 74980 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74980 = 2^{2} \times 5 \times 23 \times 163 \]74980 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 165312 |
| Euler totient φ(n) | 28512 |
| Square | 5622000400 |
| Cube | 421537589992000 |
| Square root | 273.824761 (= 2√18745) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.498 × |
74980 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand nine hundred and eighty |
| Binary (base 2) | 10010010011100100 |
| Octal (base 8) | 222344 |
| Hexadecimal (base 16) | 124E4 |
| Base 3 | 10210212001 |
| As time | 74980 seconds = 20 h 49 min 40 s |
Is 74980 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74980 ÷ 2 = 37490) | 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 (74980 ÷ 4 = 18745) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74980 ÷ 5 = 14996) | 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 3) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74980 ÷ 10 = 7498) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 74980 a prime number?
No. 74980 = × 5 × 23 × 163, so it is divisible by 2.
What are the factors of 74980?
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 163, 230, 326, 460, 652, 815, 1630, 3260, 3749, 7498, 14996, 18745, 37490, 74980.
What is 74980 in binary?
10010010011100100 (hexadecimal 124E4, octal 222344).
What is the square root of 74980?
About 273.8248, exactly 2√18745.
Is 74980 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 74980?
It is a composite number with 24 divisors.