The number 75018
75018 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 12503. Divisors (8): 1, 2, 3, 6, 12503, 25006, 37509, 75018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75018: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75018 is composite. Its prime factorisation is
- 3
The divisors add up to 150048; without 75018 itself that is 75030, so 75018 is abundant (75030 is more than 75018). Euler's totient φ(75018) = 25004 numbers up to 75018 share no factor with it.
- 4
The digits of 75018 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75018 = 2 \times 3 \times 12503 \]
75018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 150048 |
| Euler totient φ(n) | 25004 |
| Square | 5627700324 |
| Cube | 422178822905832 |
| Square root | 273.894140 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.5018 × |
75018 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and eighteen |
| Binary (base 2) | 10010010100001010 |
| Octal (base 8) | 222412 |
| Hexadecimal (base 16) | 1250A |
| Base 3 | 10210220110 |
| As time | 75018 seconds = 20 h 50 min 18 s |
Is 75018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75018 ÷ 2 = 37509) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75018 ÷ 3 = 25006) | 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 (75018 ÷ 6 = 12503) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 3) | 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 9) | 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 75018 a prime number?
No. 75018 = 2 × 3 × 12503, so it is divisible by 2.
What are the factors of 75018?
1, 2, 3, 6, 12503, 25006, 37509, 75018.
What is 75018 in binary?
10010010100001010 (hexadecimal 1250A, octal 222412).
What is the square root of 75018?
About 273.8941.
Is 75018 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 75018?
75018 is a happy number: repeatedly adding the squares of its digits reaches 1.