The number 75988
75988 is a composite number with 18 divisors. Its prime factorisation is × × 157. Divisors (18): 1, 2, 4, 11, 22, 44, 121, 157, 242, 314, 484, 628, 1727, 3454, 6908, 18997 … 75988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
75988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75988 is composite. Its prime factorisation is
- 3
The divisors add up to 147098; without 75988 itself that is 71110, so 75988 is deficient (71110 is less than 75988). Euler's totient φ(75988) = 34320 numbers up to 75988 share no factor with it.
- 4
The digits of 75988 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75988 = 2^{2} \times 11^{2} \times 157 \]75988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 147098 |
| Euler totient φ(n) | 34320 |
| Square | 5774176144 |
| Cube | 438768096830272 |
| Square root | 275.659210 (= 22√157) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 81 |
| Scientific notation | 7.5988 × |
75988 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand nine hundred and eighty-eight |
| Binary (base 2) | 10010100011010100 |
| Octal (base 8) | 224324 |
| Hexadecimal (base 16) | 128D4 |
| Base 3 | 10212020101 |
| As time | 75988 seconds = 21 h 6 min 28 s |
Is 75988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75988 ÷ 2 = 37994) | 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 (75988 ÷ 4 = 18997) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 (75988 ÷ 11 = 6908) | 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 75988 a prime number?
No. 75988 = × × 157, so it is divisible by 2.
What are the factors of 75988?
1, 2, 4, 11, 22, 44, 121, 157, 242, 314, 484, 628, 1727, 3454, 6908, 18997, 37994, 75988.
What is 75988 in binary?
10010100011010100 (hexadecimal 128D4, octal 224324).
What is the square root of 75988?
About 275.6592, exactly 22√157.
Is 75988 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 75988?
It is a composite number with 18 divisors.