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The number 33631

33631 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 199. Divisors (6): 1, 13, 169, 199, 2587, 33631.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    33631 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

    33631 is composite. Its prime factorisation is

    33631=132Ɨ19933631 = 13^{2} \times 199
  3. 3

    The divisors add up to 36600; without 33631 itself that is 2969, so 33631 is deficient (2969 is less than 33631). Euler's totient φ(33631) = 30888 numbers up to 33631 share no factor with it.

  4. 4

    The digits of 33631 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 33631 = 13^{2} \times 199 \]

33631 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors36600
Euler totient φ(n)30888
Square1131044161
Cube38038146178591
Square root183.387568 (= 13√199)
Digit sum / digital root16 / 7
Collatz steps to 167
Scientific notation3.3631 Ɨ 10410^{4}

33631 in other forms

FormValue
In wordsthirty-three thousand six hundred and thirty-one
Binary (base 2)1000001101011111
Octal (base 8)101537
Hexadecimal (base 16)835F
Base 31201010121
As time33631 seconds = 9 h 20 min 31 s

Is 33631 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.
7No (remainder 3)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 7)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 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)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 33631 a prime number?

No. 33631 = 13213^{2} Ɨ 199, so it is divisible by 13.

What are the factors of 33631?

1, 13, 169, 199, 2587, 33631.

What is 33631 in binary?

1000001101011111 (hexadecimal 835F, octal 101537).

What is the square root of 33631?

About 183.3876, exactly 13√199.

Is 33631 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 33631?

It is a composite number with 6 divisors.

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    33631: is it prime? Factors, square root, binary, Roman numeral | WordGPT