The number 4272
4272 is a composite number with 20 divisors. Its prime factorisation is × 3 × 89. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712 … 4272.
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How to work it out
- 1
4272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4272 is composite. Its prime factorisation is
- 3
The divisors add up to 11160; without 4272 itself that is 6888, so 4272 is abundant (6888 is more than 4272). Euler's totient φ(4272) = 1408 numbers up to 4272 share no factor with it.
- 4
The digits of 4272 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 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4272 = 2^{4} \times 3 \times 89 \]4272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 11160 |
| Euler totient φ(n) | 1408 |
| Square | 18249984 |
| Cube | 77963931648 |
| Square root | 65.360539 (= 4√267) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 25 |
| Scientific notation | 4.272 × |
4272 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and seventy-two |
| Binary (base 2) | 1000010110000 |
| Octal (base 8) | 10260 |
| Hexadecimal (base 16) | 10B0 |
| Base 3 | 12212020 |
| As time | 4272 seconds = 1 h 11 min 12 s |
Is 4272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4272 ÷ 2 = 2136) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (4272 ÷ 3 = 1424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4272 ÷ 4 = 1068) | 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 (4272 ÷ 6 = 712) | 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 (4272 ÷ 8 = 534) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (4272 ÷ 12 = 356) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4272 a prime number?
No. 4272 = × 3 × 89, so it is divisible by 2.
What are the factors of 4272?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 89, 178, 267, 356, 534, 712, 1068, 1424, 2136, 4272.
What is 4272 in binary?
1000010110000 (hexadecimal 10B0, octal 10260).
What is the square root of 4272?
About 65.3605, exactly 4√267.
Is 4272 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 4272?
It is a composite number with 20 divisors.