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The number 13162

13162 is a composite number with 4 divisors. Its prime factorisation is 2 × 6581. Divisors (4): 1, 2, 6581, 13162.

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How to work it out

  1. 1

    What is special about 13162: a semiprime: 2 × 6581, the product of two primes.

  2. 2

    13162 is composite. Its prime factorisation is

    13162=2×658113162 = 2 \times 6581
  3. 3

    The divisors add up to 19746; without 13162 itself that is 6584, so 13162 is deficient (6584 is less than 13162). Euler's totient φ(13162) = 6580 numbers up to 13162 share no factor with it.

  4. 4

    The digits of 13162 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.

LaTeX source of the formulas on this page
\[ 13162 = 2 \times 6581 \]

13162 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors19746
Euler totient φ(n)6580
Square173238244
Cube2280161767528
Square root114.725760
Digit sum / digital root13 / 4
Collatz steps to 1138
Scientific notation1.3162 × 10410^{4}

13162 in other forms

FormValue
In wordsthirteen thousand one hundred and sixty-two
Binary (base 2)11001101101010
Octal (base 8)31552
Hexadecimal (base 16)336A
Base 3200001111
As time13162 seconds = 3 h 39 min 22 s

Is 13162 divisible by 2 to 12?

DivisorAnswerRule
2Yes (13162 ÷ 2 = 6581)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 2)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 13162 a prime number?

No. 13162 = 2 × 6581, so it is divisible by 2.

What are the factors of 13162?

1, 2, 6581, 13162.

What is 13162 in binary?

11001101101010 (hexadecimal 336A, octal 31552).

What is the square root of 13162?

About 114.7258.

Is 13162 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 13162?

13162 is a semiprime: 2 × 6581, the product of two primes.

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