The number 75002
75002 is a composite number with 4 divisors. Its prime factorisation is 2 × 37501. Divisors (4): 1, 2, 37501, 75002.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75002: a semiprime: 2 × 37501, the product of two primes.
- 2
75002 is composite. Its prime factorisation is
- 3
The divisors add up to 112506; without 75002 itself that is 37504, so 75002 is deficient (37504 is less than 75002). Euler's totient φ(75002) = 37500 numbers up to 75002 share no factor with it.
- 4
The digits of 75002 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75002 = 2 \times 37501 \]
75002 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 112506 |
| Euler totient φ(n) | 37500 |
| Square | 5625300004 |
| Cube | 421908750900008 |
| Square root | 273.864930 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.5002 × |
75002 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and two |
| Binary (base 2) | 10010010011111010 |
| Octal (base 8) | 222372 |
| Hexadecimal (base 16) | 124FA |
| Base 3 | 10210212212 |
| As time | 75002 seconds = 20 h 50 min 2 s |
Is 75002 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75002 ÷ 2 = 37501) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 4) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75002 a prime number?
No. 75002 = 2 × 37501, so it is divisible by 2.
What are the factors of 75002?
1, 2, 37501, 75002.
What is 75002 in binary?
10010010011111010 (hexadecimal 124FA, octal 222372).
What is the square root of 75002?
About 273.8649.
Is 75002 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 75002?
75002 is a semiprime: 2 × 37501, the product of two primes.