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The number 72249

72249 is a composite number with 4 divisors. Its prime factorisation is 3 × 24083. Divisors (4): 1, 3, 24083, 72249.

Number

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How to work it out

  1. 1

    What is special about 72249: a semiprime: 3 × 24083, the product of two primes.

  2. 2

    72249 is composite. Its prime factorisation is

    72249=3×2408372249 = 3 \times 24083
  3. 3

    The divisors add up to 96336; without 72249 itself that is 24087, so 72249 is deficient (24087 is less than 72249). Euler's totient φ(72249) = 48164 numbers up to 72249 share no factor with it.

  4. 4

    The digits of 72249 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72249 = 3 \times 24083 \]

72249 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors96336
Euler totient φ(n)48164
Square5219918001
Cube377133855654249
Square root268.791741
Digit sum / digital root24 / 6
Collatz steps to 1187
Scientific notation7.2249 × 10410^{4}

72249 in other forms

FormValue
In wordsseventy-two thousand two hundred and forty-nine
Binary (base 2)10001101000111001
Octal (base 8)215071
Hexadecimal (base 16)11A39
Base 310200002220
As time72249 seconds = 20 h 4 min 9 s

Is 72249 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 (72249 ÷ 3 = 24083)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 4)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 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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 72249 a prime number?

No. 72249 = 3 × 24083, so it is divisible by 3.

What are the factors of 72249?

1, 3, 24083, 72249.

What is 72249 in binary?

10001101000111001 (hexadecimal 11A39, octal 215071).

What is the square root of 72249?

About 268.7917.

Is 72249 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 72249?

72249 is a semiprime: 3 × 24083, the product of two primes.

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    72249: is it prime? Factors, square root, binary, Roman numeral | WordGPT