The number 25992

Q: Is 25992 a prime number?

No. 25992 = 2^3 × 3^2 × 19^2, so it is divisible by 2.

25992 is a composite number with 36 divisors. Its prime factorisation is $2^{3}$ × $3^{2}$ × $19^{2}$ . Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76 … 25992.

Number

Pick any whole number from 1 to 100,000.

25992 = 2^{3} \times 3^{2} \times 19^{2}

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How to work it out

1
25992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
25992 is composite. Its prime factorisation is
$25992 = 2^{3} \times 3^{2} \times 19^{2}$
3
The divisors add up to 74295; without 25992 itself that is 48303, so 25992 is abundant (48303 is more than 25992). Euler's totient φ(25992) = 8208 numbers up to 25992 share no factor with it.
4
The digits of 25992 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 139 steps to reach 1.

LaTeX source of the formulas on this page

\[ 25992 = 2^{3} \times 3^{2} \times 19^{2} \]

25992 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	74295
Euler totient φ(n)	8208
Square	675584064
Cube	17559780991488
Square root	161.220346 (= 114√2)
Digit sum / digital root	27 / 9
Collatz steps to 1	139
Scientific notation	2.5992 × $10^{4}$

25992 in other forms

Form	Value
In words	twenty-five thousand nine hundred and ninety-two
Binary (base 2)	110010110001000
Octal (base 8)	62610
Hexadecimal (base 16)	6588
Base 3	1022122200
As time	25992 seconds = 7 h 13 min 12 s

Is 25992 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (25992 ÷ 2 = 12996)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (25992 ÷ 3 = 8664)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (25992 ÷ 4 = 6498)	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 (25992 ÷ 6 = 4332)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 1)	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 (25992 ÷ 8 = 3249)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (25992 ÷ 9 = 2888)	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	No (remainder 10)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (25992 ÷ 12 = 2166)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 25992 a prime number?

No. 25992 = $2^{3}$ × $3^{2}$ × $19^{2}$ , so it is divisible by 2.

What are the factors of 25992?

1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 361, 456, 684, 722, 1083, 1368, 1444, 2166, 2888, 3249, 4332, 6498, 8664, 12996, 25992.

What is 25992 in binary?

110010110001000 (hexadecimal 6588, octal 62610).

What is the square root of 25992?

About 161.2203, exactly 114√2.

Is 25992 divisible by 3?

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

What is special about the number 25992?

It is a composite number with 36 divisors.