The number 80388

Q: Is 80388 a prime number?

No. 80388 = 2^2 × 3^2 × 7 × 11 × 29, so it is divisible by 2.

80388 is a composite number with 72 divisors. Its prime factorisation is $2^{2}$ × $3^{2}$ × 7 × 11 × 29. Divisors (72): 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 29, 33 … 80388.

Number

Pick any whole number from 1 to 100,000.

80388 = 2^{2} \times 3^{2} \times 7 \times 11 \times 29

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How to work it out

1
80388 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
80388 is composite. Its prime factorisation is
$80388 = 2^{2} \times 3^{2} \times 7 \times 11 \times 29$
3
The divisors add up to 262080; without 80388 itself that is 181692, so 80388 is abundant (181692 is more than 80388). Euler's totient φ(80388) = 20160 numbers up to 80388 share no factor with it.
4
The digits of 80388 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 94 steps to reach 1.

LaTeX source of the formulas on this page

\[ 80388 = 2^{2} \times 3^{2} \times 7 \times 11 \times 29 \]

80388 at a glance

Property	Value
Type	composite
Number of divisors	72
Sum of divisors	262080
Euler totient φ(n)	20160
Square	6462230544
Cube	519485788971072
Square root	283.527776 (= 6√2233)
Digit sum / digital root	27 / 9
Collatz steps to 1	94
Scientific notation	8.0388 × $10^{4}$

80388 in other forms

Form	Value
In words	eighty thousand three hundred and eighty-eight
Binary (base 2)	10011101000000100
Octal (base 8)	235004
Hexadecimal (base 16)	13A04
Base 3	11002021100
As time	80388 seconds = 22 h 19 min 48 s

Is 80388 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (80388 ÷ 2 = 40194)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (80388 ÷ 3 = 26796)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (80388 ÷ 4 = 20097)	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 (80388 ÷ 6 = 13398)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	Yes (80388 ÷ 7 = 11484)	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 (80388 ÷ 9 = 8932)	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	Yes (80388 ÷ 11 = 7308)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (80388 ÷ 12 = 6699)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80388 a prime number?

No. 80388 = $2^{2}$ × $3^{2}$ × 7 × 11 × 29, so it is divisible by 2.

What are the factors of 80388?

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 29, 33, 36, 42, 44, 58, 63, 66, 77, 84, 87, 99, 116, 126, 132, 154, 174, 198, 203, 231, 252, 261, 308, 319, 348, 396, 406, 462, 522, 609, 638, 693, 812, 924, 957, 1044, 1218, 1276, 1386, 1827, 1914, 2233, 2436, 2772, 2871, 3654, 3828, 4466, 5742, 6699, 7308, 8932, 11484, 13398, 20097, 26796, 40194, 80388.

What is 80388 in binary?

10011101000000100 (hexadecimal 13A04, octal 235004).

What is the square root of 80388?

About 283.5278, exactly 6√2233.

Is 80388 divisible by 3?

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

What is special about the number 80388?

It is a composite number with 72 divisors.