The number 55890
55890 is a composite number with 48 divisors. Its prime factorisation is 2 × × 5 × 23. Divisors (48): 1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69 … 55890.
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How to work it out
- 1
What is special about 55890: a Harshad number: divisible by its digit sum 27.
- 2
55890 is composite. Its prime factorisation is
- 3
The divisors add up to 157248; without 55890 itself that is 101358, so 55890 is abundant (101358 is more than 55890). Euler's totient φ(55890) = 14256 numbers up to 55890 share no factor with it.
- 4
The digits of 55890 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55890 = 2 \times 3^{5} \times 5 \times 23 \]55890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 157248 |
| Euler totient φ(n) | 14256 |
| Square | 3123692100 |
| Cube | 174583151469000 |
| Square root | 236.410660 (= 9√690) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.589 × |
55890 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and ninety |
| Binary (base 2) | 1101101001010010 |
| Octal (base 8) | 155122 |
| Hexadecimal (base 16) | DA52 |
| Base 3 | 2211200000 |
| As time | 55890 seconds = 15 h 31 min 30 s |
Is 55890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55890 ÷ 2 = 27945) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55890 ÷ 3 = 18630) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55890 ÷ 5 = 11178) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55890 ÷ 6 = 9315) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55890 ÷ 9 = 6210) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55890 ÷ 10 = 5589) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55890 a prime number?
No. 55890 = 2 × × 5 × 23, so it is divisible by 2.
What are the factors of 55890?
1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 27, 30, 45, 46, 54, 69, 81, 90, 115, 135, 138, 162, 207, 230, 243, 270, 345, 405, 414, 486, 621, 690, 810, 1035, 1215, 1242, 1863, 2070, 2430, 3105, 3726, 5589, 6210, 9315, 11178, 18630, 27945, 55890.
What is 55890 in binary?
1101101001010010 (hexadecimal DA52, octal 155122).
What is the square root of 55890?
About 236.4107, exactly 9√690.
Is 55890 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55890?
55890 is a Harshad number: divisible by its digit sum 27.