The number 55272
55272 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 47. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 49, 56 … 55272.
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How to work it out
- 1
What is special about 55272: a Harshad number: divisible by its digit sum 21.
- 2
55272 is composite. Its prime factorisation is
- 3
The divisors add up to 164160; without 55272 itself that is 108888, so 55272 is abundant (108888 is more than 55272). Euler's totient φ(55272) = 15456 numbers up to 55272 share no factor with it.
- 4
The digits of 55272 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55272 = 2^{3} \times 3 \times 7^{2} \times 47 \]55272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 164160 |
| Euler totient φ(n) | 15456 |
| Square | 3054993984 |
| Cube | 168855627483648 |
| Square root | 235.099979 (= 14√282) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5272 × |
55272 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and seventy-two |
| Binary (base 2) | 1101011111101000 |
| Octal (base 8) | 153750 |
| Hexadecimal (base 16) | D7E8 |
| Base 3 | 2210211010 |
| As time | 55272 seconds = 15 h 21 min 12 s |
Is 55272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55272 ÷ 2 = 27636) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55272 ÷ 3 = 18424) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55272 ÷ 4 = 13818) | 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 (55272 ÷ 6 = 9212) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55272 ÷ 7 = 7896) | 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 (55272 ÷ 8 = 6909) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55272 ÷ 12 = 4606) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55272 a prime number?
No. 55272 = × 3 × × 47, so it is divisible by 2.
What are the factors of 55272?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 47, 49, 56, 84, 94, 98, 141, 147, 168, 188, 196, 282, 294, 329, 376, 392, 564, 588, 658, 987, 1128, 1176, 1316, 1974, 2303, 2632, 3948, 4606, 6909, 7896, 9212, 13818, 18424, 27636, 55272.
What is 55272 in binary?
1101011111101000 (hexadecimal D7E8, octal 153750).
What is the square root of 55272?
About 235.1000, exactly 14√282.
Is 55272 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55272?
55272 is a Harshad number: divisible by its digit sum 21.