The number 76272
76272 is a composite number with 40 divisors. Its prime factorisation is × 3 × 7 × 227. Divisors (40): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56 … 76272.
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How to work it out
- 1
What is special about 76272: a Harshad number: divisible by its digit sum 24.
- 2
76272 is composite. Its prime factorisation is
- 3
The divisors add up to 226176; without 76272 itself that is 149904, so 76272 is abundant (149904 is more than 76272). Euler's totient φ(76272) = 21696 numbers up to 76272 share no factor with it.
- 4
The digits of 76272 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76272 = 2^{4} \times 3 \times 7 \times 227 \]76272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 226176 |
| Euler totient φ(n) | 21696 |
| Square | 5817417984 |
| Cube | 443706104475648 |
| Square root | 276.173858 (= 4√4767) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 7.6272 × |
76272 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand two hundred and seventy-two |
| Binary (base 2) | 10010100111110000 |
| Octal (base 8) | 224760 |
| Hexadecimal (base 16) | 129F0 |
| Base 3 | 10212121220 |
| As time | 76272 seconds = 21 h 11 min 12 s |
Is 76272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76272 ÷ 2 = 38136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (76272 ÷ 3 = 25424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (76272 ÷ 4 = 19068) | 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 (76272 ÷ 6 = 12712) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76272 ÷ 7 = 10896) | 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 (76272 ÷ 8 = 9534) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (76272 ÷ 12 = 6356) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76272 a prime number?
No. 76272 = × 3 × 7 × 227, so it is divisible by 2.
What are the factors of 76272?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 227, 336, 454, 681, 908, 1362, 1589, 1816, 2724, 3178, 3632, 4767, 5448, 6356, 9534, 10896, 12712, 19068, 25424, 38136, 76272.
What is 76272 in binary?
10010100111110000 (hexadecimal 129F0, octal 224760).
What is the square root of 76272?
About 276.1739, exactly 4√4767.
Is 76272 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 76272?
76272 is a Harshad number: divisible by its digit sum 24.