The number 74290
74290 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 17 × 19 × 23. Divisors (32): 1, 2, 5, 10, 17, 19, 23, 34, 38, 46, 85, 95, 115, 170, 190, 230 … 74290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74290 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74290 is composite. Its prime factorisation is
- 3
The divisors add up to 155520; without 74290 itself that is 81230, so 74290 is abundant (81230 is more than 74290). Euler's totient φ(74290) = 25344 numbers up to 74290 share no factor with it.
- 4
The digits of 74290 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74290 = 2 \times 5 \times 17 \times 19 \times 23 \]
74290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 155520 |
| Euler totient φ(n) | 25344 |
| Square | 5519004100 |
| Cube | 410006814589000 |
| Square root | 272.561920 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.429 × |
74290 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand two hundred and ninety |
| Binary (base 2) | 10010001000110010 |
| Octal (base 8) | 221062 |
| Hexadecimal (base 16) | 12232 |
| Base 3 | 10202220111 |
| As time | 74290 seconds = 20 h 38 min 10 s |
Is 74290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74290 ÷ 2 = 37145) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (74290 ÷ 5 = 14858) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (74290 ÷ 10 = 7429) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74290 a prime number?
No. 74290 = 2 × 5 × 17 × 19 × 23, so it is divisible by 2.
What are the factors of 74290?
1, 2, 5, 10, 17, 19, 23, 34, 38, 46, 85, 95, 115, 170, 190, 230, 323, 391, 437, 646, 782, 874, 1615, 1955, 2185, 3230, 3910, 4370, 7429, 14858, 37145, 74290.
What is 74290 in binary?
10010001000110010 (hexadecimal 12232, octal 221062).
What is the square root of 74290?
About 272.5619.
Is 74290 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 74290?
It is a composite number with 32 divisors.