The number 75012
75012 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7 × 19 × 47. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 47, 57, 76 … 75012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75012: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
75012 is composite. Its prime factorisation is
- 3
The divisors add up to 215040; without 75012 itself that is 140028, so 75012 is abundant (140028 is more than 75012). Euler's totient φ(75012) = 19872 numbers up to 75012 share no factor with it.
- 4
The digits of 75012 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75012 = 2^{2} \times 3 \times 7 \times 19 \times 47 \]75012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 215040 |
| Euler totient φ(n) | 19872 |
| Square | 5626800144 |
| Cube | 422077532401728 |
| Square root | 273.883187 (= 2√18753) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5012 × |
75012 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and twelve |
| Binary (base 2) | 10010010100000100 |
| Octal (base 8) | 222404 |
| Hexadecimal (base 16) | 12504 |
| Base 3 | 10210220020 |
| As time | 75012 seconds = 20 h 50 min 12 s |
Is 75012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75012 ÷ 2 = 37506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75012 ÷ 3 = 25004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (75012 ÷ 4 = 18753) | 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 | Yes (75012 ÷ 6 = 12502) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (75012 ÷ 7 = 10716) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (75012 ÷ 12 = 6251) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75012 a prime number?
No. 75012 = × 3 × 7 × 19 × 47, so it is divisible by 2.
What are the factors of 75012?
1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 47, 57, 76, 84, 94, 114, 133, 141, 188, 228, 266, 282, 329, 399, 532, 564, 658, 798, 893, 987, 1316, 1596, 1786, 1974, 2679, 3572, 3948, 5358, 6251, 10716, 12502, 18753, 25004, 37506, 75012.
What is 75012 in binary?
10010010100000100 (hexadecimal 12504, octal 222404).
What is the square root of 75012?
About 273.8832, exactly 2√18753.
Is 75012 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 75012?
75012 is a happy number: repeatedly adding the squares of its digits reaches 1.