The number 75010
75010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 577. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 577, 1154, 2885, 5770, 7501, 15002, 37505, 75010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75010: a Harshad number: divisible by its digit sum 13.
- 2
75010 is composite. Its prime factorisation is
- 3
The divisors add up to 145656; without 75010 itself that is 70646, so 75010 is deficient (70646 is less than 75010). Euler's totient φ(75010) = 27648 numbers up to 75010 share no factor with it.
- 4
The digits of 75010 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75010 = 2 \times 5 \times 13 \times 577 \]
75010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 145656 |
| Euler totient φ(n) | 27648 |
| Square | 5626500100 |
| Cube | 422043772501000 |
| Square root | 273.879536 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 86 |
| Scientific notation | 7.501 × |
75010 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and ten |
| Binary (base 2) | 10010010100000010 |
| Octal (base 8) | 222402 |
| Hexadecimal (base 16) | 12502 |
| Base 3 | 10210220011 |
| As time | 75010 seconds = 20 h 50 min 10 s |
Is 75010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75010 ÷ 2 = 37505) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (75010 ÷ 5 = 15002) | 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 5) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (75010 ÷ 10 = 7501) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75010 a prime number?
No. 75010 = 2 × 5 × 13 × 577, so it is divisible by 2.
What are the factors of 75010?
1, 2, 5, 10, 13, 26, 65, 130, 577, 1154, 2885, 5770, 7501, 15002, 37505, 75010.
What is 75010 in binary?
10010010100000010 (hexadecimal 12502, octal 222402).
What is the square root of 75010?
About 273.8795.
Is 75010 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 75010?
75010 is a Harshad number: divisible by its digit sum 13.