The number 74940
74940 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1249. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1249, 2498, 3747, 4996 … 74940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74940 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74940 is composite. Its prime factorisation is
- 3
The divisors add up to 210000; without 74940 itself that is 135060, so 74940 is abundant (135060 is more than 74940). Euler's totient φ(74940) = 19968 numbers up to 74940 share no factor with it.
- 4
The digits of 74940 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74940 = 2^{2} \times 3 \times 5 \times 1249 \]74940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 210000 |
| Euler totient φ(n) | 19968 |
| Square | 5616003600 |
| Cube | 420863309784000 |
| Square root | 273.751712 (= 2√18735) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.494 × |
74940 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand nine hundred and forty |
| Binary (base 2) | 10010010010111100 |
| Octal (base 8) | 222274 |
| Hexadecimal (base 16) | 124BC |
| Base 3 | 10210210120 |
| As time | 74940 seconds = 20 h 49 min 0 s |
Is 74940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74940 ÷ 2 = 37470) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74940 ÷ 3 = 24980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74940 ÷ 4 = 18735) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74940 ÷ 5 = 14988) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74940 ÷ 6 = 12490) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74940 ÷ 10 = 7494) | 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 (74940 ÷ 12 = 6245) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74940 a prime number?
No. 74940 = × 3 × 5 × 1249, so it is divisible by 2.
What are the factors of 74940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1249, 2498, 3747, 4996, 6245, 7494, 12490, 14988, 18735, 24980, 37470, 74940.
What is 74940 in binary?
10010010010111100 (hexadecimal 124BC, octal 222274).
What is the square root of 74940?
About 273.7517, exactly 2√18735.
Is 74940 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74940?
It is a composite number with 24 divisors.