The number 55692

Q: Is 55692 a prime number?

No. 55692 = 2^2 × 3^2 × 7 × 13 × 17, so it is divisible by 2.

55692 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 7 × 13 × 17. Divisors (72): 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 17, 18, 21, 26, 28, 34 … 55692.

Number

Pick any whole number from 1 to 100,000.

55692 = 2^{2} \times 3^{2} \times 7 \times 13 \times 17

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How to work it out

1
55692 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
55692 is composite. Its prime factorisation is
$55692 = 2^{2} \times 3^{2} \times 7 \times 13 \times 17$
3
The divisors add up to 183456; without 55692 itself that is 127764, so 55692 is abundant (127764 is more than 55692). Euler's totient φ(55692) = 13824 numbers up to 55692 share no factor with it.
4
The digits of 55692 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

\[ 55692 = 2^{2} \times 3^{2} \times 7 \times 13 \times 17 \]

55692 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	183456
Euler totient φ(n)	13824
Square	3101598864
Cube	172734243933888
Square root	235.991525 (= 6√1547)
Digit sum / digital root	27 / 9
Collatz steps to 1	60
Scientific notation	5.5692 × $10^{4}$

55692 in other forms

Form	Value
In words	fifty-five thousand six hundred and ninety-two
Binary (base 2)	1101100110001100
Octal (base 8)	154614
Hexadecimal (base 16)	D98C
Base 3	2211101200
As time	55692 seconds = 15 h 28 min 12 s

Is 55692 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (55692 ÷ 2 = 27846)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (55692 ÷ 3 = 18564)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (55692 ÷ 4 = 13923)	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 (55692 ÷ 6 = 9282)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (55692 ÷ 7 = 7956)	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 (55692 ÷ 9 = 6188)	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 (55692 ÷ 12 = 4641)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 55692 a prime number?

No. 55692 = $2^{2}$ × $3^{2}$ × 7 × 13 × 17, so it is divisible by 2.

What are the factors of 55692?

1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 17, 18, 21, 26, 28, 34, 36, 39, 42, 51, 52, 63, 68, 78, 84, 91, 102, 117, 119, 126, 153, 156, 182, 204, 221, 234, 238, 252, 273, 306, 357, 364, 442, 468, 476, 546, 612, 663, 714, 819, 884, 1071, 1092, 1326, 1428, 1547, 1638, 1989, 2142, 2652, 3094, 3276, 3978, 4284, 4641, 6188, 7956, 9282, 13923, 18564, 27846, 55692.

What is 55692 in binary?

1101100110001100 (hexadecimal D98C, octal 154614).

What is the square root of 55692?

About 235.9915, exactly 6√1547.

Is 55692 divisible by 3?

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

What is special about the number 55692?

It is a composite number with 72 divisors.