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The number 36101

36101 is a composite number with 4 divisors. Its prime factorisation is 13 × 2777. Divisors (4): 1, 13, 2777, 36101.

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How to work it out

  1. 1

    What is special about 36101: a semiprime: 13 × 2777, the product of two primes.

  2. 2

    36101 is composite. Its prime factorisation is

    36101=13×277736101 = 13 \times 2777
  3. 3

    The divisors add up to 38892; without 36101 itself that is 2791, so 36101 is deficient (2791 is less than 36101). Euler's totient φ(36101) = 33312 numbers up to 36101 share no factor with it.

  4. 4

    The digits of 36101 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 49 steps to reach 1.

LaTeX source of the formulas on this page
\[ 36101 = 13 \times 2777 \]

36101 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors38892
Euler totient φ(n)33312
Square1303282201
Cube47049790738301
Square root190.002632
Digit sum / digital root11 / 2
Collatz steps to 149
Scientific notation3.6101 × 10410^{4}

36101 in other forms

FormValue
In wordsthirty-six thousand one hundred and one
Binary (base 2)1000110100000101
Octal (base 8)106405
Hexadecimal (base 16)8D05
Base 31211112002
As time36101 seconds = 10 h 1 min 41 s

Is 36101 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 1)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 5)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 36101 a prime number?

No. 36101 = 13 × 2777, so it is divisible by 13.

What are the factors of 36101?

1, 13, 2777, 36101.

What is 36101 in binary?

1000110100000101 (hexadecimal 8D05, octal 106405).

What is the square root of 36101?

About 190.0026.

Is 36101 divisible by 3?

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

What is special about the number 36101?

36101 is a semiprime: 13 × 2777, the product of two primes.

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