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The number 5131

5131 is a composite number with 4 divisors. Its prime factorisation is 7 × 733. Divisors (4): 1, 7, 733, 5131.

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How to work it out

  1. 1

    What is special about 5131: a semiprime: 7 × 733, the product of two primes.

  2. 2

    5131 is composite. Its prime factorisation is

    5131=7×7335131 = 7 \times 733
  3. 3

    The divisors add up to 5872; without 5131 itself that is 741, so 5131 is deficient (741 is less than 5131). Euler's totient φ(5131) = 4392 numbers up to 5131 share no factor with it.

  4. 4

    The digits of 5131 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.

LaTeX source of the formulas on this page
\[ 5131 = 7 \times 733 \]

5131 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors5872
Euler totient φ(n)4392
Square26327161
Cube135084663091
Square root71.630999
Digit sum / digital root10 / 1
Collatz steps to 154
Scientific notation5.131 × 10310^{3}

5131 in other forms

FormValue
In wordsfive thousand one hundred and thirty-one
Binary (base 2)1010000001011
Octal (base 8)12013
Hexadecimal (base 16)140B
Base 321001001
As time5131 seconds = 1 h 25 min 31 s

Is 5131 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 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (5131 ÷ 7 = 733)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 1)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 5131 a prime number?

No. 5131 = 7 × 733, so it is divisible by 7.

What are the factors of 5131?

1, 7, 733, 5131.

What is 5131 in binary?

1010000001011 (hexadecimal 140B, octal 12013).

What is the square root of 5131?

About 71.6310.

Is 5131 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 5131?

5131 is a semiprime: 7 × 733, the product of two primes.

All about 5131

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