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The number 72489

72489 is a composite number with 8 divisors. Its prime factorisation is 3 × 73 × 331. Divisors (8): 1, 3, 73, 219, 331, 993, 24163, 72489.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    72489 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

    72489 is composite. Its prime factorisation is

    72489=3×73×33172489 = 3 \times 73 \times 331
  3. 3

    The divisors add up to 98272; without 72489 itself that is 25783, so 72489 is deficient (25783 is less than 72489). Euler's totient φ(72489) = 47520 numbers up to 72489 share no factor with it.

  4. 4

    The digits of 72489 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72489 = 3 \times 73 \times 331 \]

72489 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors98272
Euler totient φ(n)47520
Square5254655121
Cube380904695066169
Square root269.237813
Digit sum / digital root30 / 3
Collatz steps to 194
Scientific notation7.2489 × 10410^{4}

72489 in other forms

FormValue
In wordsseventy-two thousand four hundred and eighty-nine
Binary (base 2)10001101100101001
Octal (base 8)215451
Hexadecimal (base 16)11B29
Base 310200102210
As time72489 seconds = 20 h 8 min 9 s

Is 72489 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 (72489 ÷ 3 = 24163)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 4)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 3)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 10)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 72489 a prime number?

No. 72489 = 3 × 73 × 331, so it is divisible by 3.

What are the factors of 72489?

1, 3, 73, 219, 331, 993, 24163, 72489.

What is 72489 in binary?

10001101100101001 (hexadecimal 11B29, octal 215451).

What is the square root of 72489?

About 269.2378.

Is 72489 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 72489?

It is a composite number with 8 divisors.

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    72489: is it prime? Factors, square root, binary, Roman numeral | WordGPT