The number 80556

Q: Is 80556 a prime number?

No. 80556 = 2^2 × 3 × 7^2 × 137, so it is divisible by 2.

80556 is a composite number with 36 divisors. Its prime factorisation is $2^{2}$ × 3 × $7^{2}$ × 137. Divisors (36): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 137, 147 … 80556.

Number

Pick any whole number from 1 to 100,000.

80556 = 2^{2} \times 3 \times 7^{2} \times 137

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How to work it out

1
80556 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
80556 is composite. Its prime factorisation is
$80556 = 2^{2} \times 3 \times 7^{2} \times 137$
3
The divisors add up to 220248; without 80556 itself that is 139692, so 80556 is abundant (139692 is more than 80556). Euler's totient φ(80556) = 22848 numbers up to 80556 share no factor with it.
4
The digits of 80556 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 94 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80556 = 2^{2} \times 3 \times 7^{2} \times 137 \]

80556 at a glance

Property	Value
Type	composite
Number of divisors	36
Sum of divisors	220248
Euler totient φ(n)	22848
Square	6489269136
Cube	522749564519616
Square root	283.823889 (= 14√411)
Digit sum / digital root	24 / 6
Collatz steps to 1	94
Scientific notation	8.0556 × $10^{4}$

80556 in other forms

Form	Value
In words	eighty thousand five hundred and fifty-six
Binary (base 2)	10011101010101100
Octal (base 8)	235254
Hexadecimal (base 16)	13AAC
Base 3	11002111120
As time	80556 seconds = 22 h 22 min 36 s

Is 80556 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80556 ÷ 2 = 40278)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80556 ÷ 3 = 26852)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80556 ÷ 4 = 20139)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	No (remainder 1)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (80556 ÷ 6 = 13426)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (80556 ÷ 7 = 11508)	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	No (remainder 6)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	No (remainder 6)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 3)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (80556 ÷ 12 = 6713)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80556 a prime number?

No. 80556 = $2^{2}$ × 3 × $7^{2}$ × 137, so it is divisible by 2.

What are the factors of 80556?

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 137, 147, 196, 274, 294, 411, 548, 588, 822, 959, 1644, 1918, 2877, 3836, 5754, 6713, 11508, 13426, 20139, 26852, 40278, 80556.

What is 80556 in binary?

10011101010101100 (hexadecimal 13AAC, octal 235254).

What is the square root of 80556?

About 283.8239, exactly 14√411.

Is 80556 divisible by 3?

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

What is special about the number 80556?

It is a composite number with 36 divisors.