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The number 11531

11531 is a composite number with 4 divisors. Its prime factorisation is 13 × 887. Divisors (4): 1, 13, 887, 11531.

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How to work it out

  1. 1

    What is special about 11531: a semiprime: 13 × 887, the product of two primes.

  2. 2

    11531 is composite. Its prime factorisation is

    11531=13×88711531 = 13 \times 887
  3. 3

    The divisors add up to 12432; without 11531 itself that is 901, so 11531 is deficient (901 is less than 11531). Euler's totient φ(11531) = 10632 numbers up to 11531 share no factor with it.

  4. 4

    The digits of 11531 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

LaTeX source of the formulas on this page
\[ 11531 = 13 \times 887 \]

11531 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors12432
Euler totient φ(n)10632
Square132963961
Cube1533207434291
Square root107.382494
Digit sum / digital root11 / 2
Collatz steps to 155
Scientific notation1.1531 × 10410^{4}

11531 in other forms

FormValue
In wordseleven thousand five hundred and thirty-one
Binary (base 2)10110100001011
Octal (base 8)26413
Hexadecimal (base 16)2D0B
Base 3120211002
As time11531 seconds = 3 h 12 min 11 s

Is 11531 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 2)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 3)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 11531 a prime number?

No. 11531 = 13 × 887, so it is divisible by 13.

What are the factors of 11531?

1, 13, 887, 11531.

What is 11531 in binary?

10110100001011 (hexadecimal 2D0B, octal 26413).

What is the square root of 11531?

About 107.3825.

Is 11531 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 11531?

11531 is a semiprime: 13 × 887, the product of two primes.

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