The number 54684

Q: Is 54684 a prime number?

No. 54684 = 2^2 × 3^2 × 7^2 × 31, so it is divisible by 2.

54684 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × $7^{2}$ × 31. Divisors (54): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 49 … 54684.

Number

Pick any whole number from 1 to 100,000.

54684 = 2^{2} \times 3^{2} \times 7^{2} \times 31

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How to work it out

1
54684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
54684 is composite. Its prime factorisation is
$54684 = 2^{2} \times 3^{2} \times 7^{2} \times 31$
3
The divisors add up to 165984; without 54684 itself that is 111300, so 54684 is abundant (111300 is more than 54684). Euler's totient φ(54684) = 15120 numbers up to 54684 share no factor with it.
4
The digits of 54684 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 122 steps to reach 1.

LaTeX source of the formulas on this page

\[ 54684 = 2^{2} \times 3^{2} \times 7^{2} \times 31 \]

54684 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	165984
Euler totient φ(n)	15120
Square	2990339856
Cube	163523744685504
Square root	233.846103 (= 42√31)
Digit sum / digital root	27 / 9
Collatz steps to 1	122
Scientific notation	5.4684 × $10^{4}$

54684 in other forms

Form	Value
In words	fifty-four thousand six hundred and eighty-four
Binary (base 2)	1101010110011100
Octal (base 8)	152634
Hexadecimal (base 16)	D59C
Base 3	2210000100
As time	54684 seconds = 15 h 11 min 24 s

Is 54684 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (54684 ÷ 2 = 27342)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (54684 ÷ 3 = 18228)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (54684 ÷ 4 = 13671)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 4)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (54684 ÷ 6 = 9114)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (54684 ÷ 7 = 7812)	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	Yes (54684 ÷ 9 = 6076)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 4)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (54684 ÷ 12 = 4557)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 54684 a prime number?

No. 54684 = $2^{2}$ × $3^{2}$ × $7^{2}$ × 31, so it is divisible by 2.

What are the factors of 54684?

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 49, 62, 63, 84, 93, 98, 124, 126, 147, 186, 196, 217, 252, 279, 294, 372, 434, 441, 558, 588, 651, 868, 882, 1116, 1302, 1519, 1764, 1953, 2604, 3038, 3906, 4557, 6076, 7812, 9114, 13671, 18228, 27342, 54684.

What is 54684 in binary?

1101010110011100 (hexadecimal D59C, octal 152634).

What is the square root of 54684?

About 233.8461, exactly 42√31.

Is 54684 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 54684?

It is a composite number with 54 divisors.