The number 75400
75400 is a composite number with 48 divisors. Its prime factorisation is × × 13 × 29. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 29, 40, 50, 52, 58, 65 … 75400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75400 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75400 is composite. Its prime factorisation is
- 3
The divisors add up to 195300; without 75400 itself that is 119900, so 75400 is abundant (119900 is more than 75400). Euler's totient φ(75400) = 26880 numbers up to 75400 share no factor with it.
- 4
The digits of 75400 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75400 = 2^{3} \times 5^{2} \times 13 \times 29 \]75400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 195300 |
| Euler totient φ(n) | 26880 |
| Square | 5685160000 |
| Cube | 428661064000000 |
| Square root | 274.590604 (= 10√754) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.54 × |
75400 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand four hundred |
| Binary (base 2) | 10010011010001000 |
| Octal (base 8) | 223210 |
| Hexadecimal (base 16) | 12688 |
| Base 3 | 10211102121 |
| As time | 75400 seconds = 20 h 56 min 40 s |
Is 75400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75400 ÷ 2 = 37700) | 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 | Yes (75400 ÷ 4 = 18850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (75400 ÷ 5 = 15080) | 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 3) | 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 (75400 ÷ 8 = 9425) | 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 | Yes (75400 ÷ 10 = 7540) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75400 a prime number?
No. 75400 = × × 13 × 29, so it is divisible by 2.
What are the factors of 75400?
1, 2, 4, 5, 8, 10, 13, 20, 25, 26, 29, 40, 50, 52, 58, 65, 100, 104, 116, 130, 145, 200, 232, 260, 290, 325, 377, 520, 580, 650, 725, 754, 1160, 1300, 1450, 1508, 1885, 2600, 2900, 3016, 3770, 5800, 7540, 9425, 15080, 18850, 37700, 75400.
What is 75400 in binary?
10010011010001000 (hexadecimal 12688, octal 223210).
What is the square root of 75400?
About 274.5906, exactly 10√754.
Is 75400 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 75400?
It is a composite number with 48 divisors.