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The number 31012

31012 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 7753. Divisors (6): 1, 2, 4, 7753, 15506, 31012.

Number

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How to work it out

  1. 1

    31012 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

    31012 is composite. Its prime factorisation is

    31012=22×775331012 = 2^{2} \times 7753
  3. 3

    The divisors add up to 54278; without 31012 itself that is 23266, so 31012 is deficient (23266 is less than 31012). Euler's totient φ(31012) = 15504 numbers up to 31012 share no factor with it.

  4. 4

    The digits of 31012 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.

LaTeX source of the formulas on this page
\[ 31012 = 2^{2} \times 7753 \]

31012 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors54278
Euler totient φ(n)15504
Square961744144
Cube29825609393728
Square root176.102243 (= 2√7753)
Digit sum / digital root7 / 7
Collatz steps to 1147
Scientific notation3.1012 × 10410^{4}

31012 in other forms

FormValue
In wordsthirty-one thousand and twelve
Binary (base 2)111100100100100
Octal (base 8)74444
Hexadecimal (base 16)7924
Base 31120112121
As time31012 seconds = 8 h 36 min 52 s

Is 31012 divisible by 2 to 12?

DivisorAnswerRule
2Yes (31012 ÷ 2 = 15506)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (31012 ÷ 4 = 7753)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 31012 a prime number?

No. 31012 = 222^{2} × 7753, so it is divisible by 2.

What are the factors of 31012?

1, 2, 4, 7753, 15506, 31012.

What is 31012 in binary?

111100100100100 (hexadecimal 7924, octal 74444).

What is the square root of 31012?

About 176.1022, exactly 2√7753.

Is 31012 divisible by 3?

No. Its digits add up to 7, which is not a multiple of 3.

What is special about the number 31012?

It is a composite number with 6 divisors.

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    31012: is it prime? Factors, square root, binary, Roman numeral | WordGPT