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The number 3131

3131 is a composite number with 4 divisors. Its prime factorisation is 31 × 101. Divisors (4): 1, 31, 101, 3131.

Number

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How to work it out

  1. 1

    What is special about 3131: a semiprime: 31 × 101, the product of two primes.

  2. 2

    3131 is composite. Its prime factorisation is

    3131=31×1013131 = 31 \times 101
  3. 3

    The divisors add up to 3264; without 3131 itself that is 133, so 3131 is deficient (133 is less than 3131). Euler's totient φ(3131) = 3000 numbers up to 3131 share no factor with it.

  4. 4

    The digits of 3131 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.

LaTeX source of the formulas on this page
\[ 3131 = 31 \times 101 \]

3131 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors3264
Euler totient φ(n)3000
Square9803161
Cube30693697091
Square root55.955339
Digit sum / digital root8 / 8
Collatz steps to 1110
Scientific notation3.131 × 10310^{3}

3131 in other forms

FormValue
In wordsthree thousand one hundred and thirty-one
Roman numeralsMMMCXXXI
Binary (base 2)110000111011
Octal (base 8)6073
Hexadecimal (base 16)C3B
Base 311021222
As time3131 seconds = 52 min 11 s

Is 3131 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).
3No (remainder 2)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 5)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 3131 a prime number?

No. 3131 = 31 × 101, so it is divisible by 31.

What are the factors of 3131?

1, 31, 101, 3131.

What is 3131 in binary?

110000111011 (hexadecimal C3B, octal 6073).

What is the square root of 3131?

About 55.9553.

What is 3131 in Roman numerals?

MMMCXXXI.

Is 3131 divisible by 3?

No. Its digits add up to 8, which is not a multiple of 3.

What is special about the number 3131?

3131 is a semiprime: 31 × 101, the product of two primes.

All about 3131

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    3131: is it prime? Factors, square root, binary, Roman numeral | WordGPT