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The number 72146

72146 is a composite number with 4 divisors. Its prime factorisation is 2 × 36073. Divisors (4): 1, 2, 36073, 72146.

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How to work it out

  1. 1

    What is special about 72146: a semiprime: 2 × 36073, the product of two primes.

  2. 2

    72146 is composite. Its prime factorisation is

    72146=2×3607372146 = 2 \times 36073
  3. 3

    The divisors add up to 108222; without 72146 itself that is 36076, so 72146 is deficient (36076 is less than 72146). Euler's totient φ(72146) = 36072 numbers up to 72146 share no factor with it.

  4. 4

    The digits of 72146 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72146 = 2 \times 36073 \]

72146 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors108222
Euler totient φ(n)36072
Square5205045316
Cube375523199368136
Square root268.600074
Digit sum / digital root20 / 2
Collatz steps to 1179
Scientific notation7.2146 × 10410^{4}

72146 in other forms

FormValue
In wordsseventy-two thousand one hundred and forty-six
Binary (base 2)10001100111010010
Octal (base 8)214722
Hexadecimal (base 16)119D2
Base 310122222002
As time72146 seconds = 20 h 2 min 26 s

Is 72146 divisible by 2 to 12?

DivisorAnswerRule
2Yes (72146 ÷ 2 = 36073)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 2)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 2)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 2)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 72146 a prime number?

No. 72146 = 2 × 36073, so it is divisible by 2.

What are the factors of 72146?

1, 2, 36073, 72146.

What is 72146 in binary?

10001100111010010 (hexadecimal 119D2, octal 214722).

What is the square root of 72146?

About 268.6001.

Is 72146 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 72146?

72146 is a semiprime: 2 × 36073, the product of two primes.

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    72146: is it prime? Factors, square root, binary, Roman numeral | WordGPT