The number 64428

Q: Is 64428 a prime number?

No. 64428 = 2^2 × 3 × 7 × 13 × 59, so it is divisible by 2.

64428 is a composite number with 48 divisors. Its prime factorisation is $2^{2}$ × 3 × 7 × 13 × 59. Divisors (48): 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 59 … 64428.

Number

Pick any whole number from 1 to 100,000.

64428 = 2^{2} \times 3 \times 7 \times 13 \times 59

Explain it step by step in chat Make a short video of it

How to work it out

1
64428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
64428 is composite. Its prime factorisation is
$64428 = 2^{2} \times 3 \times 7 \times 13 \times 59$
3
The divisors add up to 188160; without 64428 itself that is 123732, so 64428 is abundant (123732 is more than 64428). Euler's totient φ(64428) = 16704 numbers up to 64428 share no factor with it.
4
The digits of 64428 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 47 steps to reach 1.

LaTeX source of the formulas on this page

\[ 64428 = 2^{2} \times 3 \times 7 \times 13 \times 59 \]

64428 at a glance

Property	Value
Type	composite
Number of divisors	48
Sum of divisors	188160
Euler totient φ(n)	16704
Square	4150967184
Cube	267438513730752
Square root	253.826713 (= 2√16107)
Digit sum / digital root	24 / 6
Collatz steps to 1	47
Scientific notation	6.4428 × $10^{4}$

64428 in other forms

Form	Value
In words	sixty-four thousand four hundred and twenty-eight
Binary (base 2)	1111101110101100
Octal (base 8)	175654
Hexadecimal (base 16)	FBAC
Base 3	10021101020
As time	64428 seconds = 17 h 53 min 48 s

Is 64428 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (64428 ÷ 2 = 32214)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (64428 ÷ 3 = 21476)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (64428 ÷ 4 = 16107)	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 (64428 ÷ 6 = 10738)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (64428 ÷ 7 = 9204)	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	No (remainder 8)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 1)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (64428 ÷ 12 = 5369)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 64428 a prime number?

No. 64428 = $2^{2}$ × 3 × 7 × 13 × 59, so it is divisible by 2.

What are the factors of 64428?

1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 52, 59, 78, 84, 91, 118, 156, 177, 182, 236, 273, 354, 364, 413, 546, 708, 767, 826, 1092, 1239, 1534, 1652, 2301, 2478, 3068, 4602, 4956, 5369, 9204, 10738, 16107, 21476, 32214, 64428.

What is 64428 in binary?

1111101110101100 (hexadecimal FBAC, octal 175654).

What is the square root of 64428?

About 253.8267, exactly 2√16107.

Is 64428 divisible by 3?

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

What is special about the number 64428?

It is a composite number with 48 divisors.