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The number 4162

4162 is a composite number with 4 divisors. Its prime factorisation is 2 × 2081. Divisors (4): 1, 2, 2081, 4162.

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How to work it out

  1. 1

    What is special about 4162: a semiprime: 2 × 2081, the product of two primes.

  2. 2

    4162 is composite. Its prime factorisation is

    4162=2×20814162 = 2 \times 2081
  3. 3

    The divisors add up to 6246; without 4162 itself that is 2084, so 4162 is deficient (2084 is less than 4162). Euler's totient φ(4162) = 2080 numbers up to 4162 share no factor with it.

  4. 4

    The digits of 4162 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 64 steps to reach 1.

LaTeX source of the formulas on this page
\[ 4162 = 2 \times 2081 \]

4162 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors6246
Euler totient φ(n)2080
Square17322244
Cube72095179528
Square root64.513564
Digit sum / digital root13 / 4
Collatz steps to 164
Scientific notation4.162 × 10310^{3}

4162 in other forms

FormValue
In wordsfour thousand one hundred and sixty-two
Binary (base 2)1000001000010
Octal (base 8)10102
Hexadecimal (base 16)1042
Base 312201011
As time4162 seconds = 1 h 9 min 22 s

Is 4162 divisible by 2 to 12?

DivisorAnswerRule
2Yes (4162 ÷ 2 = 2081)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 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 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 4)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 4162 a prime number?

No. 4162 = 2 × 2081, so it is divisible by 2.

What are the factors of 4162?

1, 2, 2081, 4162.

What is 4162 in binary?

1000001000010 (hexadecimal 1042, octal 10102).

What is the square root of 4162?

About 64.5136.

Is 4162 divisible by 3?

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

What is special about the number 4162?

4162 is a semiprime: 2 × 2081, the product of two primes.

All about 4162

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