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The number 72235

72235 is a composite number with 4 divisors. Its prime factorisation is 5 × 14447. Divisors (4): 1, 5, 14447, 72235.

Number

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How to work it out

  1. 1

    What is special about 72235: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 14447, the product of two primes.

  2. 2

    72235 is composite. Its prime factorisation is

    72235=5×1444772235 = 5 \times 14447
  3. 3

    The divisors add up to 86688; without 72235 itself that is 14453, so 72235 is deficient (14453 is less than 72235). Euler's totient φ(72235) = 57784 numbers up to 72235 share no factor with it.

  4. 4

    The digits of 72235 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72235 = 5 \times 14447 \]

72235 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors86688
Euler totient φ(n)57784
Square5217895225
Cube376914661577875
Square root268.765697
Digit sum / digital root19 / 1
Collatz steps to 1187
Scientific notation7.2235 × 10410^{4}

72235 in other forms

FormValue
In wordsseventy-two thousand two hundred and thirty-five
Binary (base 2)10001101000101011
Octal (base 8)215053
Hexadecimal (base 16)11A2B
Base 310200002101
As time72235 seconds = 20 h 3 min 55 s

Is 72235 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 1)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.
5Yes (72235 ÷ 5 = 14447)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 72235 a prime number?

No. 72235 = 5 × 14447, so it is divisible by 5.

What are the factors of 72235?

1, 5, 14447, 72235.

What is 72235 in binary?

10001101000101011 (hexadecimal 11A2B, octal 215053).

What is the square root of 72235?

About 268.7657.

Is 72235 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 72235?

72235 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 14447, the product of two primes.

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