The number 75048
75048 is a composite number with 32 divisors. Its prime factorisation is × 3 × 53 × 59. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 24, 53, 59, 106, 118, 159, 177, 212, 236 … 75048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 75048: a Harshad number: divisible by its digit sum 24.
- 2
75048 is composite. Its prime factorisation is
- 3
The divisors add up to 194400; without 75048 itself that is 119352, so 75048 is abundant (119352 is more than 75048). Euler's totient φ(75048) = 24128 numbers up to 75048 share no factor with it.
- 4
The digits of 75048 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75048 = 2^{3} \times 3 \times 53 \times 59 \]75048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 194400 |
| Euler totient φ(n) | 24128 |
| Square | 5632202304 |
| Cube | 422685518510592 |
| Square root | 273.948900 (= 2√18762) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.5048 × |
75048 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand and forty-eight |
| Binary (base 2) | 10010010100101000 |
| Octal (base 8) | 222450 |
| Hexadecimal (base 16) | 12528 |
| Base 3 | 10210221120 |
| As time | 75048 seconds = 20 h 50 min 48 s |
Is 75048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75048 ÷ 2 = 37524) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75048 ÷ 3 = 25016) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (75048 ÷ 4 = 18762) | 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 (75048 ÷ 6 = 12508) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (75048 ÷ 8 = 9381) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (75048 ÷ 12 = 6254) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75048 a prime number?
No. 75048 = × 3 × 53 × 59, so it is divisible by 2.
What are the factors of 75048?
1, 2, 3, 4, 6, 8, 12, 24, 53, 59, 106, 118, 159, 177, 212, 236, 318, 354, 424, 472, 636, 708, 1272, 1416, 3127, 6254, 9381, 12508, 18762, 25016, 37524, 75048.
What is 75048 in binary?
10010010100101000 (hexadecimal 12528, octal 222450).
What is the square root of 75048?
About 273.9489, exactly 2√18762.
Is 75048 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 75048?
75048 is a Harshad number: divisible by its digit sum 24.