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The number 16181

16181 is a composite number with 4 divisors. Its prime factorisation is 11 × 1471. Divisors (4): 1, 11, 1471, 16181.

Number

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How to work it out

  1. 1

    What is special about 16181: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 1471, the product of two primes.

  2. 2

    16181 is composite. Its prime factorisation is

    16181=11×147116181 = 11 \times 1471
  3. 3

    The divisors add up to 17664; without 16181 itself that is 1483, so 16181 is deficient (1483 is less than 16181). Euler's totient φ(16181) = 14700 numbers up to 16181 share no factor with it.

  4. 4

    The digits of 16181 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.

LaTeX source of the formulas on this page
\[ 16181 = 11 \times 1471 \]

16181 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors17664
Euler totient φ(n)14700
Square261824761
Cube4236586457741
Square root127.204560
Digit sum / digital root17 / 8
Collatz steps to 166
Scientific notation1.6181 × 10410^{4}

16181 in other forms

FormValue
In wordssixteen thousand one hundred and eighty-one
Binary (base 2)11111100110101
Octal (base 8)37465
Hexadecimal (base 16)3F35
Base 3211012022
As time16181 seconds = 4 h 29 min 41 s

Is 16181 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 4)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 8)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.
11Yes (16181 ÷ 11 = 1471)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 16181 a prime number?

No. 16181 = 11 × 1471, so it is divisible by 11.

What are the factors of 16181?

1, 11, 1471, 16181.

What is 16181 in binary?

11111100110101 (hexadecimal 3F35, octal 37465).

What is the square root of 16181?

About 127.2046.

Is 16181 divisible by 3?

No. Its digits add up to 17, which is not a multiple of 3.

What is special about the number 16181?

16181 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 1471, the product of two primes.

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