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The number 73448

73448 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 9181. Divisors (8): 1, 2, 4, 8, 9181, 18362, 36724, 73448.

Number

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How to work it out

  1. 1

    73448 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

    73448 is composite. Its prime factorisation is

    73448=23×918173448 = 2^{3} \times 9181
  3. 3

    The divisors add up to 137730; without 73448 itself that is 64282, so 73448 is deficient (64282 is less than 73448). Euler's totient φ(73448) = 36720 numbers up to 73448 share no factor with it.

  4. 4

    The digits of 73448 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.

LaTeX source of the formulas on this page
\[ 73448 = 2^{3} \times 9181 \]

73448 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors137730
Euler totient φ(n)36720
Square5394608704
Cube396223220091392
Square root271.012915 (= 2√18362)
Digit sum / digital root26 / 8
Collatz steps to 163
Scientific notation7.3448 × 10410^{4}

73448 in other forms

FormValue
In wordsseventy-three thousand four hundred and forty-eight
Binary (base 2)10001111011101000
Octal (base 8)217350
Hexadecimal (base 16)11EE8
Base 310201202022
As time73448 seconds = 20 h 24 min 8 s

Is 73448 divisible by 2 to 12?

DivisorAnswerRule
2Yes (73448 ÷ 2 = 36724)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 2)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (73448 ÷ 4 = 18362)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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.
8Yes (73448 ÷ 8 = 9181)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 73448 a prime number?

No. 73448 = 232^{3} × 9181, so it is divisible by 2.

What are the factors of 73448?

1, 2, 4, 8, 9181, 18362, 36724, 73448.

What is 73448 in binary?

10001111011101000 (hexadecimal 11EE8, octal 217350).

What is the square root of 73448?

About 271.0129, exactly 2√18362.

Is 73448 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 73448?

It is a composite number with 8 divisors.

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    73448: is it prime? Factors, square root, binary, Roman numeral | WordGPT