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The number 72363

72363 is a composite number with 4 divisors. Its prime factorisation is 3 × 24121. Divisors (4): 1, 3, 24121, 72363.

Number

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How to work it out

  1. 1

    What is special about 72363: a semiprime: 3 × 24121, the product of two primes.

  2. 2

    72363 is composite. Its prime factorisation is

    72363=3×2412172363 = 3 \times 24121
  3. 3

    The divisors add up to 96488; without 72363 itself that is 24125, so 72363 is deficient (24125 is less than 72363). Euler's totient φ(72363) = 48240 numbers up to 72363 share no factor with it.

  4. 4

    The digits of 72363 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72363 = 3 \times 24121 \]

72363 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors96488
Euler totient φ(n)48240
Square5236403769
Cube378921885936147
Square root269.003717
Digit sum / digital root21 / 3
Collatz steps to 168
Scientific notation7.2363 × 10410^{4}

72363 in other forms

FormValue
In wordsseventy-two thousand three hundred and sixty-three
Binary (base 2)10001101010101011
Octal (base 8)215253
Hexadecimal (base 16)11AAB
Base 310200021010
As time72363 seconds = 20 h 6 min 3 s

Is 72363 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).
3Yes (72363 ÷ 3 = 24121)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 3)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 72363 a prime number?

No. 72363 = 3 × 24121, so it is divisible by 3.

What are the factors of 72363?

1, 3, 24121, 72363.

What is 72363 in binary?

10001101010101011 (hexadecimal 11AAB, octal 215253).

What is the square root of 72363?

About 269.0037.

Is 72363 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 72363?

72363 is a semiprime: 3 × 24121, the product of two primes.

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