The number 74408
74408 is a composite number with 16 divisors. Its prime factorisation is × 71 × 131. Divisors (16): 1, 2, 4, 8, 71, 131, 142, 262, 284, 524, 568, 1048, 9301, 18602, 37204, 74408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74408 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74408 is composite. Its prime factorisation is
- 3
The divisors add up to 142560; without 74408 itself that is 68152, so 74408 is deficient (68152 is less than 74408). Euler's totient φ(74408) = 36400 numbers up to 74408 share no factor with it.
- 4
The digits of 74408 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74408 = 2^{3} \times 71 \times 131 \]74408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 142560 |
| Euler totient φ(n) | 36400 |
| Square | 5536550464 |
| Cube | 411963646925312 |
| Square root | 272.778298 (= 2√18602) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.4408 × |
74408 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand four hundred and eight |
| Binary (base 2) | 10010001010101000 |
| Octal (base 8) | 221250 |
| Hexadecimal (base 16) | 122A8 |
| Base 3 | 10210001212 |
| As time | 74408 seconds = 20 h 40 min 8 s |
Is 74408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74408 ÷ 2 = 37204) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74408 ÷ 4 = 18602) | 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 2) | 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 | Yes (74408 ÷ 8 = 9301) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74408 a prime number?
No. 74408 = × 71 × 131, so it is divisible by 2.
What are the factors of 74408?
1, 2, 4, 8, 71, 131, 142, 262, 284, 524, 568, 1048, 9301, 18602, 37204, 74408.
What is 74408 in binary?
10010001010101000 (hexadecimal 122A8, octal 221250).
What is the square root of 74408?
About 272.7783, exactly 2√18602.
Is 74408 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 74408?
It is a composite number with 16 divisors.