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The number 72299

72299 is a composite number with 4 divisors. Its prime factorisation is 197 × 367. Divisors (4): 1, 197, 367, 72299.

Number

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How to work it out

  1. 1

    What is special about 72299: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 197 × 367, the product of two primes.

  2. 2

    72299 is composite. Its prime factorisation is

    72299=197×36772299 = 197 \times 367
  3. 3

    The divisors add up to 72864; without 72299 itself that is 565, so 72299 is deficient (565 is less than 72299). Euler's totient φ(72299) = 71736 numbers up to 72299 share no factor with it.

  4. 4

    The digits of 72299 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72299 = 197 \times 367 \]

72299 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors72864
Euler totient φ(n)71736
Square5227145401
Cube377917385346899
Square root268.884734
Digit sum / digital root29 / 2
Collatz steps to 194
Scientific notation7.2299 × 10410^{4}

72299 in other forms

FormValue
In wordsseventy-two thousand two hundred and ninety-nine
Binary (base 2)10001101001101011
Octal (base 8)215153
Hexadecimal (base 16)11A6B
Base 310200011202
As time72299 seconds = 20 h 4 min 59 s

Is 72299 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 3)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 2)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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 72299 a prime number?

No. 72299 = 197 × 367, so it is divisible by 197.

What are the factors of 72299?

1, 197, 367, 72299.

What is 72299 in binary?

10001101001101011 (hexadecimal 11A6B, octal 215153).

What is the square root of 72299?

About 268.8847.

Is 72299 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 72299?

72299 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 197 × 367, the product of two primes.

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