The number 75672
75672 is a composite number with 24 divisors. Its prime factorisation is × × 1051. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1051, 2102, 3153, 4204 … 75672.
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How to work it out
- 1
75672 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75672 is composite. Its prime factorisation is
- 3
The divisors add up to 205140; without 75672 itself that is 129468, so 75672 is abundant (129468 is more than 75672). Euler's totient φ(75672) = 25200 numbers up to 75672 share no factor with it.
- 4
The digits of 75672 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75672 = 2^{3} \times 3^{2} \times 1051 \]75672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 205140 |
| Euler totient φ(n) | 25200 |
| Square | 5726251584 |
| Cube | 433316909864448 |
| Square root | 275.085441 (= 6√2102) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5672 × |
75672 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand six hundred and seventy-two |
| Binary (base 2) | 10010011110011000 |
| Octal (base 8) | 223630 |
| Hexadecimal (base 16) | 12798 |
| Base 3 | 10211210200 |
| As time | 75672 seconds = 21 h 1 min 12 s |
Is 75672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (75672 ÷ 2 = 37836) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (75672 ÷ 3 = 25224) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (75672 ÷ 4 = 18918) | 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 (75672 ÷ 6 = 12612) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (75672 ÷ 8 = 9459) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (75672 ÷ 9 = 8408) | 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 (75672 ÷ 12 = 6306) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 75672 a prime number?
No. 75672 = × × 1051, so it is divisible by 2.
What are the factors of 75672?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 1051, 2102, 3153, 4204, 6306, 8408, 9459, 12612, 18918, 25224, 37836, 75672.
What is 75672 in binary?
10010011110011000 (hexadecimal 12798, octal 223630).
What is the square root of 75672?
About 275.0854, exactly 6√2102.
Is 75672 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 75672?
It is a composite number with 24 divisors.