The number 56628

Q: Is 56628 a prime number?

No. 56628 = 2^2 × 3^2 × 11^2 × 13, so it is divisible by 2.

56628 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × $11^{2}$ × 13. Divisors (54): 1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44 … 56628.

Number

Pick any whole number from 1 to 100,000.

56628 = 2^{2} \times 3^{2} \times 11^{2} \times 13

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How to work it out

1
56628 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
56628 is composite. Its prime factorisation is
$56628 = 2^{2} \times 3^{2} \times 11^{2} \times 13$
3
The divisors add up to 169442; without 56628 itself that is 112814, so 56628 is abundant (112814 is more than 56628). Euler's totient φ(56628) = 15840 numbers up to 56628 share no factor with it.
4
The digits of 56628 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 60 steps to reach 1.

LaTeX source of the formulas on this page

\[ 56628 = 2^{2} \times 3^{2} \times 11^{2} \times 13 \]

56628 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	169442
Euler totient φ(n)	15840
Square	3206730384
Cube	181590728185152
Square root	237.966384 (= 66√13)
Digit sum / digital root	27 / 9
Collatz steps to 1	60
Scientific notation	5.6628 × $10^{4}$

56628 in other forms

Form	Value
In words	fifty-six thousand six hundred and twenty-eight
Binary (base 2)	1101110100110100
Octal (base 8)	156464
Hexadecimal (base 16)	DD34
Base 3	2212200100
As time	56628 seconds = 15 h 43 min 48 s

Is 56628 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (56628 ÷ 2 = 28314)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (56628 ÷ 3 = 18876)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (56628 ÷ 4 = 14157)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 3)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (56628 ÷ 6 = 9438)	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	Yes (56628 ÷ 9 = 6292)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	Yes (56628 ÷ 11 = 5148)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (56628 ÷ 12 = 4719)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 56628 a prime number?

No. 56628 = $2^{2}$ × $3^{2}$ × $11^{2}$ × 13, so it is divisible by 2.

What are the factors of 56628?

1, 2, 3, 4, 6, 9, 11, 12, 13, 18, 22, 26, 33, 36, 39, 44, 52, 66, 78, 99, 117, 121, 132, 143, 156, 198, 234, 242, 286, 363, 396, 429, 468, 484, 572, 726, 858, 1089, 1287, 1452, 1573, 1716, 2178, 2574, 3146, 4356, 4719, 5148, 6292, 9438, 14157, 18876, 28314, 56628.

What is 56628 in binary?

1101110100110100 (hexadecimal DD34, octal 156464).

What is the square root of 56628?

About 237.9664, exactly 66√13.

Is 56628 divisible by 3?

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

What is special about the number 56628?

It is a composite number with 54 divisors.