The number 76572
76572 is a composite number with 24 divisors. Its prime factorisation is × × 709. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 709, 1418, 2127, 2836 … 76572.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76572: a Harshad number: divisible by its digit sum 27.
- 2
76572 is composite. Its prime factorisation is
- 3
The divisors add up to 198800; without 76572 itself that is 122228, so 76572 is abundant (122228 is more than 76572). Euler's totient φ(76572) = 25488 numbers up to 76572 share no factor with it.
- 4
The digits of 76572 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 200 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76572 = 2^{2} \times 3^{3} \times 709 \]76572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 198800 |
| Euler totient φ(n) | 25488 |
| Square | 5863271184 |
| Cube | 448962401101248 |
| Square root | 276.716461 (= 6√2127) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 200 |
| Scientific notation | 7.6572 × |
76572 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand five hundred and seventy-two |
| Binary (base 2) | 10010101100011100 |
| Octal (base 8) | 225434 |
| Hexadecimal (base 16) | 12B1C |
| Base 3 | 10220001000 |
| As time | 76572 seconds = 21 h 16 min 12 s |
Is 76572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76572 ÷ 2 = 38286) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76572 ÷ 3 = 25524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76572 ÷ 4 = 19143) | 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 (76572 ÷ 6 = 12762) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (76572 ÷ 9 = 8508) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76572 ÷ 12 = 6381) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76572 a prime number?
No. 76572 = × × 709, so it is divisible by 2.
What are the factors of 76572?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 709, 1418, 2127, 2836, 4254, 6381, 8508, 12762, 19143, 25524, 38286, 76572.
What is 76572 in binary?
10010101100011100 (hexadecimal 12B1C, octal 225434).
What is the square root of 76572?
About 276.7165, exactly 6√2127.
Is 76572 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76572?
76572 is a Harshad number: divisible by its digit sum 27.