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The number 72676

72676 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 18169. Divisors (6): 1, 2, 4, 18169, 36338, 72676.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    72676 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    72676 is composite. Its prime factorisation is

    72676=22×1816972676 = 2^{2} \times 18169
  3. 3

    The divisors add up to 127190; without 72676 itself that is 54514, so 72676 is deficient (54514 is less than 72676). Euler's totient φ(72676) = 36336 numbers up to 72676 share no factor with it.

  4. 4

    The digits of 72676 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72676 = 2^{2} \times 18169 \]

72676 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors127190
Euler totient φ(n)36336
Square5281800976
Cube383860167731776
Square root269.584866 (= 2√18169)
Digit sum / digital root28 / 1
Collatz steps to 168
Scientific notation7.2676 × 10410^{4}

72676 in other forms

FormValue
In wordsseventy-two thousand six hundred and seventy-six
Binary (base 2)10001101111100100
Octal (base 8)215744
Hexadecimal (base 16)11BE4
Base 310200200201
As time72676 seconds = 20 h 11 min 16 s

Is 72676 divisible by 2 to 12?

DivisorAnswerRule
2Yes (72676 ÷ 2 = 36338)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.
4Yes (72676 ÷ 4 = 18169)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)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 4)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 72676 a prime number?

No. 72676 = 222^{2} × 18169, so it is divisible by 2.

What are the factors of 72676?

1, 2, 4, 18169, 36338, 72676.

What is 72676 in binary?

10001101111100100 (hexadecimal 11BE4, octal 215744).

What is the square root of 72676?

About 269.5849, exactly 2√18169.

Is 72676 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 72676?

It is a composite number with 6 divisors.

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    72676: is it prime? Factors, square root, binary, Roman numeral | WordGPT