The number 74409
74409 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 1459. Divisors (8): 1, 3, 17, 51, 1459, 4377, 24803, 74409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74409 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74409 is composite. Its prime factorisation is
- 3
The divisors add up to 105120; without 74409 itself that is 30711, so 74409 is deficient (30711 is less than 74409). Euler's totient φ(74409) = 46656 numbers up to 74409 share no factor with it.
- 4
The digits of 74409 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74409 = 3 \times 17 \times 1459 \]
74409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 105120 |
| Euler totient φ(n) | 46656 |
| Square | 5536699281 |
| Cube | 411980256799929 |
| Square root | 272.780131 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.4409 × |
74409 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and nine |
| Binary (base 2) | 10010001010101001 |
| Octal (base 8) | 221251 |
| Hexadecimal (base 16) | 122A9 |
| Base 3 | 10210001220 |
| As time | 74409 seconds = 20 h 40 min 9 s |
Is 74409 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74409 ÷ 3 = 24803) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 1) | 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 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74409 a prime number?
No. 74409 = 3 × 17 × 1459, so it is divisible by 3.
What are the factors of 74409?
1, 3, 17, 51, 1459, 4377, 24803, 74409.
What is 74409 in binary?
10010001010101001 (hexadecimal 122A9, octal 221251).
What is the square root of 74409?
About 272.7801.
Is 74409 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74409?
It is a composite number with 8 divisors.