The number 82908

Q: Is 82908 a prime number?

No. 82908 = 2^2 × 3^2 × 7^2 × 47, so it is divisible by 2.

82908 is a composite number with 54 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × $7^{2}$ × 47. Divisors (54): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 49 … 82908.

Number

Pick any whole number from 1 to 100,000.

82908 = 2^{2} \times 3^{2} \times 7^{2} \times 47

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

How to work it out

1
82908 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
82908 is composite. Its prime factorisation is
$82908 = 2^{2} \times 3^{2} \times 7^{2} \times 47$
3
The divisors add up to 248976; without 82908 itself that is 166068, so 82908 is abundant (166068 is more than 82908). Euler's totient φ(82908) = 23184 numbers up to 82908 share no factor with it.
4
The digits of 82908 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 120 steps to reach 1.

LaTeX source of the formulas on this page

\[ 82908 = 2^{2} \times 3^{2} \times 7^{2} \times 47 \]

82908 at a glance

Property	Value
Type	composite
Number of divisors	54
Sum of divisors	248976
Euler totient φ(n)	23184
Square	6873736464
Cube	569887742757312
Square root	287.937493 (= 42√47)
Digit sum / digital root	27 / 9
Collatz steps to 1	120
Scientific notation	8.2908 × $10^{4}$

82908 in other forms

Form	Value
In words	eighty-two thousand nine hundred and eight
Binary (base 2)	10100001111011100
Octal (base 8)	241734
Hexadecimal (base 16)	143DC
Base 3	11012201200
As time	82908 seconds = 23 h 1 min 48 s

Is 82908 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (82908 ÷ 2 = 41454)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (82908 ÷ 3 = 27636)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (82908 ÷ 4 = 20727)	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 (82908 ÷ 6 = 13818)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (82908 ÷ 7 = 11844)	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 (82908 ÷ 9 = 9212)	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 (82908 ÷ 12 = 6909)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 82908 a prime number?

No. 82908 = $2^{2}$ × $3^{2}$ × $7^{2}$ × 47, so it is divisible by 2.

What are the factors of 82908?

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 49, 63, 84, 94, 98, 126, 141, 147, 188, 196, 252, 282, 294, 329, 423, 441, 564, 588, 658, 846, 882, 987, 1316, 1692, 1764, 1974, 2303, 2961, 3948, 4606, 5922, 6909, 9212, 11844, 13818, 20727, 27636, 41454, 82908.

What is 82908 in binary?

10100001111011100 (hexadecimal 143DC, octal 241734).

What is the square root of 82908?

About 287.9375, exactly 42√47.

Is 82908 divisible by 3?

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

What is special about the number 82908?

It is a composite number with 54 divisors.