The number 54780

Q: Is 54780 a prime number?

No. 54780 = 2^2 × 3 × 5 × 11 × 83, so it is divisible by 2.

54780 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 5 × 11 × 83. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55 … 54780.

Number

Pick any whole number from 1 to 100,000.

54780 = 2^{2} \times 3 \times 5 \times 11 \times 83

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How to work it out

1
54780 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
54780 is composite. Its prime factorisation is
$54780 = 2^{2} \times 3 \times 5 \times 11 \times 83$
3
The divisors add up to 169344; without 54780 itself that is 114564, so 54780 is abundant (114564 is more than 54780). Euler's totient φ(54780) = 13120 numbers up to 54780 share no factor with it.
4
The digits of 54780 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 65 steps to reach 1.

LaTeX source of the formulas on this page

\[ 54780 = 2^{2} \times 3 \times 5 \times 11 \times 83 \]

54780 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	169344
Euler totient φ(n)	13120
Square	3000848400
Cube	164386475352000
Square root	234.051276 (= 2√13695)
Digit sum / digital root	24 / 6
Collatz steps to 1	65
Scientific notation	5.478 × $10^{4}$

54780 in other forms

Form	Value
In words	fifty-four thousand seven hundred and eighty
Binary (base 2)	1101010111111100
Octal (base 8)	152774
Hexadecimal (base 16)	D5FC
Base 3	2210010220
As time	54780 seconds = 15 h 13 min 0 s

Is 54780 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (54780 ÷ 2 = 27390)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (54780 ÷ 3 = 18260)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (54780 ÷ 4 = 13695)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (54780 ÷ 5 = 10956)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (54780 ÷ 6 = 9130)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 5)	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	No (remainder 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (54780 ÷ 10 = 5478)	A number is divisible by 10 if the last digit is 0.
11	Yes (54780 ÷ 11 = 4980)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (54780 ÷ 12 = 4565)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54780 a prime number?

No. 54780 = $2^{2}$ × 3 × 5 × 11 × 83, so it is divisible by 2.

What are the factors of 54780?

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 83, 110, 132, 165, 166, 220, 249, 330, 332, 415, 498, 660, 830, 913, 996, 1245, 1660, 1826, 2490, 2739, 3652, 4565, 4980, 5478, 9130, 10956, 13695, 18260, 27390, 54780.

What is 54780 in binary?

1101010111111100 (hexadecimal D5FC, octal 152774).

What is the square root of 54780?

About 234.0513, exactly 2√13695.

Is 54780 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 54780?

It is a composite number with 48 divisors.