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The number 80145

80145 is a composite number with 24 divisors. Its prime factorisation is 323^{2} × 5 × 13 × 137. Divisors (24): 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 137, 195, 411, 585, 685, 1233 … 80145.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    80145 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    80145 is composite. Its prime factorisation is

    80145=32×5×13×13780145 = 3^{2} \times 5 \times 13 \times 137
  3. 3

    The divisors add up to 150696; without 80145 itself that is 70551, so 80145 is deficient (70551 is less than 80145). Euler's totient φ(80145) = 39168 numbers up to 80145 share no factor with it.

  4. 4

    The digits of 80145 add up to 18, 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
\[ 80145 = 3^{2} \times 5 \times 13 \times 137 \]

80145 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors150696
Euler totient φ(n)39168
Square6423221025
Cube514789049048625
Square root283.098923 (= 3√8905)
Digit sum / digital root18 / 9
Collatz steps to 194
Scientific notation8.0145 × 10410^{4}

80145 in other forms

FormValue
In wordseighty thousand one hundred and forty-five
Binary (base 2)10011100100010001
Octal (base 8)234421
Hexadecimal (base 16)13911
Base 311001221100
As time80145 seconds = 22 h 15 min 45 s

Is 80145 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (80145 ÷ 3 = 26715)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)A number is divisible by 4 if the last two digits make a multiple of 4.
5Yes (80145 ÷ 5 = 16029)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (80145 ÷ 9 = 8905)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80145 a prime number?

No. 80145 = 323^{2} × 5 × 13 × 137, so it is divisible by 3.

What are the factors of 80145?

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 137, 195, 411, 585, 685, 1233, 1781, 2055, 5343, 6165, 8905, 16029, 26715, 80145.

What is 80145 in binary?

10011100100010001 (hexadecimal 13911, octal 234421).

What is the square root of 80145?

About 283.0989, exactly 3√8905.

Is 80145 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 80145?

It is a composite number with 24 divisors.

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    80145: is it prime? Factors, square root, binary, Roman numeral | WordGPT