The number 74338
74338 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 31 × 109. Divisors (16): 1, 2, 11, 22, 31, 62, 109, 218, 341, 682, 1199, 2398, 3379, 6758, 37169, 74338.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74338 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74338 is composite. Its prime factorisation is
- 3
The divisors add up to 126720; without 74338 itself that is 52382, so 74338 is deficient (52382 is less than 74338). Euler's totient φ(74338) = 32400 numbers up to 74338 share no factor with it.
- 4
The digits of 74338 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74338 = 2 \times 11 \times 31 \times 109 \]
74338 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 126720 |
| Euler totient φ(n) | 32400 |
| Square | 5526138244 |
| Cube | 410802064782472 |
| Square root | 272.649959 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.4338 × |
74338 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand three hundred and thirty-eight |
| Binary (base 2) | 10010001001100010 |
| Octal (base 8) | 221142 |
| Hexadecimal (base 16) | 12262 |
| Base 3 | 10202222021 |
| As time | 74338 seconds = 20 h 38 min 58 s |
Is 74338 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74338 ÷ 2 = 37169) | 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 | No (remainder 3) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (74338 ÷ 11 = 6758) | 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 74338 a prime number?
No. 74338 = 2 × 11 × 31 × 109, so it is divisible by 2.
What are the factors of 74338?
1, 2, 11, 22, 31, 62, 109, 218, 341, 682, 1199, 2398, 3379, 6758, 37169, 74338.
What is 74338 in binary?
10010001001100010 (hexadecimal 12262, octal 221142).
What is the square root of 74338?
About 272.6500.
Is 74338 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 74338?
It is a composite number with 16 divisors.