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The number 13061

13061 is a composite number with 4 divisors. Its prime factorisation is 37 × 353. Divisors (4): 1, 37, 353, 13061.

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How to work it out

  1. 1

    What is special about 13061: a semiprime: 37 × 353, the product of two primes.

  2. 2

    13061 is composite. Its prime factorisation is

    13061=37×35313061 = 37 \times 353
  3. 3

    The divisors add up to 13452; without 13061 itself that is 391, so 13061 is deficient (391 is less than 13061). Euler's totient φ(13061) = 12672 numbers up to 13061 share no factor with it.

  4. 4

    The digits of 13061 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 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13061 = 37 \times 353 \]

13061 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors13452
Euler totient φ(n)12672
Square170589721
Cube2228072345981
Square root114.284732
Digit sum / digital root11 / 2
Collatz steps to 1138
Scientific notation1.3061 × 10410^{4}

13061 in other forms

FormValue
In wordsthirteen thousand and sixty-one
Binary (base 2)11001100000101
Octal (base 8)31405
Hexadecimal (base 16)3305
Base 3122220202
As time13061 seconds = 3 h 37 min 41 s

Is 13061 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 6)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 4)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 13061 a prime number?

No. 13061 = 37 × 353, so it is divisible by 37.

What are the factors of 13061?

1, 37, 353, 13061.

What is 13061 in binary?

11001100000101 (hexadecimal 3305, octal 31405).

What is the square root of 13061?

About 114.2847.

Is 13061 divisible by 3?

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

What is special about the number 13061?

13061 is a semiprime: 37 × 353, the product of two primes.

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