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The number 72067

72067 is a composite number with 4 divisors. Its prime factorisation is 19 × 3793. Divisors (4): 1, 19, 3793, 72067.

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How to work it out

  1. 1

    What is special about 72067: a semiprime: 19 × 3793, the product of two primes.

  2. 2

    72067 is composite. Its prime factorisation is

    72067=19×379372067 = 19 \times 3793
  3. 3

    The divisors add up to 75880; without 72067 itself that is 3813, so 72067 is deficient (3813 is less than 72067). Euler's totient φ(72067) = 68256 numbers up to 72067 share no factor with it.

  4. 4

    The digits of 72067 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72067 = 19 \times 3793 \]

72067 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors75880
Euler totient φ(n)68256
Square5193652489
Cube374290953924763
Square root268.452975
Digit sum / digital root22 / 4
Collatz steps to 142
Scientific notation7.2067 × 10410^{4}

72067 in other forms

FormValue
In wordsseventy-two thousand and sixty-seven
Binary (base 2)10001100110000011
Octal (base 8)214603
Hexadecimal (base 16)11983
Base 310122212011
As time72067 seconds = 20 h 1 min 7 s

Is 72067 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.
5No (remainder 2)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 7)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)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 72067 a prime number?

No. 72067 = 19 × 3793, so it is divisible by 19.

What are the factors of 72067?

1, 19, 3793, 72067.

What is 72067 in binary?

10001100110000011 (hexadecimal 11983, octal 214603).

What is the square root of 72067?

About 268.4530.

Is 72067 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 72067?

72067 is a semiprime: 19 × 3793, the product of two primes.

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