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The number 80031

80031 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 37 × 103. Divisors (16): 1, 3, 7, 21, 37, 103, 111, 259, 309, 721, 777, 2163, 3811, 11433, 26677, 80031.

Number

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How to work it out

  1. 1

    80031 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

    80031 is composite. Its prime factorisation is

    80031=3×7×37×10380031 = 3 \times 7 \times 37 \times 103
  3. 3

    The divisors add up to 126464; without 80031 itself that is 46433, so 80031 is deficient (46433 is less than 80031). Euler's totient φ(80031) = 44064 numbers up to 80031 share no factor with it.

  4. 4

    The digits of 80031 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80031 = 3 \times 7 \times 37 \times 103 \]

80031 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors126464
Euler totient φ(n)44064
Square6404960961
Cube512595430669791
Square root282.897508
Digit sum / digital root12 / 3
Collatz steps to 194
Scientific notation8.0031 × 10410^{4}

80031 in other forms

FormValue
In wordseighty thousand and thirty-one
Binary (base 2)10011100010011111
Octal (base 8)234237
Hexadecimal (base 16)1389F
Base 311001210010
As time80031 seconds = 22 h 13 min 51 s

Is 80031 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 (80031 ÷ 3 = 26677)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)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.
7Yes (80031 ÷ 7 = 11433)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80031 a prime number?

No. 80031 = 3 × 7 × 37 × 103, so it is divisible by 3.

What are the factors of 80031?

1, 3, 7, 21, 37, 103, 111, 259, 309, 721, 777, 2163, 3811, 11433, 26677, 80031.

What is 80031 in binary?

10011100010011111 (hexadecimal 1389F, octal 234237).

What is the square root of 80031?

About 282.8975.

Is 80031 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 80031?

It is a composite number with 16 divisors.

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    80031: is it prime? Factors, square root, binary, Roman numeral | WordGPT