WordGPT

The number 73489

73489 is a composite number with 4 divisors. Its prime factorisation is 13 × 5653. Divisors (4): 1, 13, 5653, 73489.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 73489: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 5653, the product of two primes.

  2. 2

    73489 is composite. Its prime factorisation is

    73489=13×565373489 = 13 \times 5653
  3. 3

    The divisors add up to 79156; without 73489 itself that is 5667, so 73489 is deficient (5667 is less than 73489). Euler's totient φ(73489) = 67824 numbers up to 73489 share no factor with it.

  4. 4

    The digits of 73489 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73489 = 13 \times 5653 \]

73489 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors79156
Euler totient φ(n)67824
Square5400633121
Cube396887127429169
Square root271.088546
Digit sum / digital root31 / 4
Collatz steps to 1187
Scientific notation7.3489 × 10410^{4}

73489 in other forms

FormValue
In wordsseventy-three thousand four hundred and eighty-nine
Binary (base 2)10001111100010001
Octal (base 8)217421
Hexadecimal (base 16)11F11
Base 310201210211
As time73489 seconds = 20 h 24 min 49 s

Is 73489 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 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 1)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 1)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 9)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 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73489 a prime number?

No. 73489 = 13 × 5653, so it is divisible by 13.

What are the factors of 73489?

1, 13, 5653, 73489.

What is 73489 in binary?

10001111100010001 (hexadecimal 11F11, octal 217421).

What is the square root of 73489?

About 271.0885.

Is 73489 divisible by 3?

No. Its digits add up to 31, which is not a multiple of 3.

What is special about the number 73489?

73489 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 5653, the product of two primes.

Find the next one

Nearby numbers

    73489: is it prime? Factors, square root, binary, Roman numeral | WordGPT