The number 83655

Q: Is 83655 a prime number?

No. 83655 = 3^2 × 5 × 11 × 13^2, so it is divisible by 3.

83655 is a composite number with 36 divisors. Its prime factorisation is $3^{2}$ × 5 × 11 × $13^{2}$ . Divisors (36): 1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165 … 83655.

Number

Pick any whole number from 1 to 100,000.

83655 = 3^{2} \times 5 \times 11 \times 13^{2}

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

How to work it out

1
83655 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
83655 is composite. Its prime factorisation is
$83655 = 3^{2} \times 5 \times 11 \times 13^{2}$
3
The divisors add up to 171288; without 83655 itself that is 87633, so 83655 is abundant (87633 is more than 83655). Euler's totient φ(83655) = 37440 numbers up to 83655 share no factor with it.
4
The digits of 83655 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 58 steps to reach 1.

LaTeX source of the formulas on this page

\[ 83655 = 3^{2} \times 5 \times 11 \times 13^{2} \]

83655 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	171288
Euler totient φ(n)	37440
Square	6998159025
Cube	585430993236375
Square root	289.231741 (= 39√55)
Digit sum / digital root	27 / 9
Collatz steps to 1	58
Scientific notation	8.3655 × $10^{4}$

83655 in other forms

Form	Value
In words	eighty-three thousand six hundred and fifty-five
Binary (base 2)	10100011011000111
Octal (base 8)	243307
Hexadecimal (base 16)	146C7
Base 3	11020202100
As time	83655 seconds = 23 h 14 min 15 s

Is 83655 divisible by 2 to 12?

Divisor	Answer	Rule
2	No (remainder 1)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (83655 ÷ 3 = 27885)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	No (remainder 3)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (83655 ÷ 5 = 16731)	A number is divisible by 5 if the last digit is 0 or 5.
6	No (remainder 3)	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 7)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	Yes (83655 ÷ 9 = 9295)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 5)	A number is divisible by 10 if the last digit is 0.
11	Yes (83655 ÷ 11 = 7605)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	No (remainder 3)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 83655 a prime number?

No. 83655 = $3^{2}$ × 5 × 11 × $13^{2}$ , so it is divisible by 3.

What are the factors of 83655?

1, 3, 5, 9, 11, 13, 15, 33, 39, 45, 55, 65, 99, 117, 143, 165, 169, 195, 429, 495, 507, 585, 715, 845, 1287, 1521, 1859, 2145, 2535, 5577, 6435, 7605, 9295, 16731, 27885, 83655.

What is 83655 in binary?

10100011011000111 (hexadecimal 146C7, octal 243307).

What is the square root of 83655?

About 289.2317, exactly 39√55.

Is 83655 divisible by 3?

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

What is special about the number 83655?

It is a composite number with 36 divisors.