The number 75138
75138 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 7 × 1789. Divisors (16): 1, 2, 3, 6, 7, 14, 21, 42, 1789, 3578, 5367, 10734, 12523, 25046, 37569, 75138.
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How to work it out
- 1
75138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75138 is composite. Its prime factorisation is
- 3
The divisors add up to 171840; without 75138 itself that is 96702, so 75138 is abundant (96702 is more than 75138). Euler's totient φ(75138) = 21456 numbers up to 75138 share no factor with it.
- 4
The digits of 75138 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 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75138 = 2 \times 3 \times 7 \times 1789 \]
75138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 171840 |
| Euler totient φ(n) | 21456 |
| Square | 5645719044 |
| Cube | 424208037528072 |
| Square root | 274.113115 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.5138 × |
75138 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand one hundred and thirty-eight |
| Binary (base 2) | 10010010110000010 |
| Octal (base 8) | 222602 |
| Hexadecimal (base 16) | 12582 |
| Base 3 | 10211001220 |
| As time | 75138 seconds = 20 h 52 min 18 s |
Is 75138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75138 ÷ 2 = 37569) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75138 ÷ 3 = 25046) | 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 | Yes (75138 ÷ 6 = 12523) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (75138 ÷ 7 = 10734) | 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 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75138 a prime number?
No. 75138 = 2 × 3 × 7 × 1789, so it is divisible by 2.
What are the factors of 75138?
1, 2, 3, 6, 7, 14, 21, 42, 1789, 3578, 5367, 10734, 12523, 25046, 37569, 75138.
What is 75138 in binary?
10010010110000010 (hexadecimal 12582, octal 222602).
What is the square root of 75138?
About 274.1131.
Is 75138 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 75138?
It is a composite number with 16 divisors.