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The number 36731

36731 is a composite number with 4 divisors. Its prime factorisation is 23 × 1597. Divisors (4): 1, 23, 1597, 36731.

Number

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How to work it out

  1. 1

    What is special about 36731: a semiprime: 23 × 1597, the product of two primes.

  2. 2

    36731 is composite. Its prime factorisation is

    36731=23×159736731 = 23 \times 1597
  3. 3

    The divisors add up to 38352; without 36731 itself that is 1621, so 36731 is deficient (1621 is less than 36731). Euler's totient φ(36731) = 35112 numbers up to 36731 share no factor with it.

  4. 4

    The digits of 36731 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36731 = 23 \times 1597 \]

36731 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors38352
Euler totient φ(n)35112
Square1349166361
Cube49556229605891
Square root191.653333
Digit sum / digital root20 / 2
Collatz steps to 1124
Scientific notation3.6731 × 10410^{4}

36731 in other forms

FormValue
In wordsthirty-six thousand seven hundred and thirty-one
Binary (base 2)1000111101111011
Octal (base 8)107573
Hexadecimal (base 16)8F7B
Base 31212101102
As time36731 seconds = 10 h 12 min 11 s

Is 36731 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 2)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 36731 a prime number?

No. 36731 = 23 × 1597, so it is divisible by 23.

What are the factors of 36731?

1, 23, 1597, 36731.

What is 36731 in binary?

1000111101111011 (hexadecimal 8F7B, octal 107573).

What is the square root of 36731?

About 191.6533.

Is 36731 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 36731?

36731 is a semiprime: 23 × 1597, the product of two primes.

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