The number 53592

Q: Is 53592 a prime number?

No. 53592 = 2^3 × 3 × 7 × 11 × 29, so it is divisible by 2.

53592 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 7 × 11 × 29. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 29, 33 … 53592.

Number

Pick any whole number from 1 to 100,000.

53592 = 2^{3} \times 3 \times 7 \times 11 \times 29

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How to work it out

1
What is special about 53592: a Harshad number: divisible by its digit sum 24.
2
53592 is composite. Its prime factorisation is
$53592 = 2^{3} \times 3 \times 7 \times 11 \times 29$
3
The divisors add up to 172800; without 53592 itself that is 119208, so 53592 is abundant (119208 is more than 53592). Euler's totient φ(53592) = 13440 numbers up to 53592 share no factor with it.
4
The digits of 53592 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 140 steps to reach 1.

LaTeX source of the formulas on this page

\[ 53592 = 2^{3} \times 3 \times 7 \times 11 \times 29 \]

53592 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	172800
Euler totient φ(n)	13440
Square	2872102464
Cube	153921715250688
Square root	231.499460 (= 2√13398)
Digit sum / digital root	24 / 6
Collatz steps to 1	140
Scientific notation	5.3592 × $10^{4}$

53592 in other forms

Form	Value
In words	fifty-three thousand five hundred and ninety-two
Binary (base 2)	1101000101011000
Octal (base 8)	150530
Hexadecimal (base 16)	D158
Base 3	2201111220
As time	53592 seconds = 14 h 53 min 12 s

Is 53592 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (53592 ÷ 2 = 26796)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (53592 ÷ 3 = 17864)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (53592 ÷ 4 = 13398)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 2)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (53592 ÷ 6 = 8932)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (53592 ÷ 7 = 7656)	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	Yes (53592 ÷ 8 = 6699)	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 2)	A number is divisible by 10 if the last digit is 0.
11	Yes (53592 ÷ 11 = 4872)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (53592 ÷ 12 = 4466)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 53592 a prime number?

No. 53592 = $2^{3}$ × 3 × 7 × 11 × 29, so it is divisible by 2.

What are the factors of 53592?

1, 2, 3, 4, 6, 7, 8, 11, 12, 14, 21, 22, 24, 28, 29, 33, 42, 44, 56, 58, 66, 77, 84, 87, 88, 116, 132, 154, 168, 174, 203, 231, 232, 264, 308, 319, 348, 406, 462, 609, 616, 638, 696, 812, 924, 957, 1218, 1276, 1624, 1848, 1914, 2233, 2436, 2552, 3828, 4466, 4872, 6699, 7656, 8932, 13398, 17864, 26796, 53592.

What is 53592 in binary?

1101000101011000 (hexadecimal D158, octal 150530).

What is the square root of 53592?

About 231.4995, exactly 2√13398.

Is 53592 divisible by 3?

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

What is special about the number 53592?

53592 is a Harshad number: divisible by its digit sum 24.