The number 74349
74349 is a composite number with 12 divisors. Its prime factorisation is × 11 × 751. Divisors (12): 1, 3, 9, 11, 33, 99, 751, 2253, 6759, 8261, 24783, 74349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74349 is composite. Its prime factorisation is
- 3
The divisors add up to 117312; without 74349 itself that is 42963, so 74349 is deficient (42963 is less than 74349). Euler's totient φ(74349) = 45000 numbers up to 74349 share no factor with it.
- 4
The digits of 74349 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74349 = 3^{2} \times 11 \times 751 \]74349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 117312 |
| Euler totient φ(n) | 45000 |
| Square | 5527773801 |
| Cube | 410984454330549 |
| Square root | 272.670130 (= 3√8261) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4349 × |
74349 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand three hundred and forty-nine |
| Binary (base 2) | 10010001001101101 |
| Octal (base 8) | 221155 |
| Hexadecimal (base 16) | 1226D |
| Base 3 | 10202222200 |
| As time | 74349 seconds = 20 h 39 min 9 s |
Is 74349 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 (74349 ÷ 3 = 24783) | 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 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74349 ÷ 9 = 8261) | 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 | Yes (74349 ÷ 11 = 6759) | 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 74349 a prime number?
No. 74349 = × 11 × 751, so it is divisible by 3.
What are the factors of 74349?
1, 3, 9, 11, 33, 99, 751, 2253, 6759, 8261, 24783, 74349.
What is 74349 in binary?
10010001001101101 (hexadecimal 1226D, octal 221155).
What is the square root of 74349?
About 272.6701, exactly 3√8261.
Is 74349 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74349?
It is a composite number with 12 divisors.