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The number 74488

74488 is a composite number with 8 divisors. Its prime factorisation is 232^{3} × 9311. Divisors (8): 1, 2, 4, 8, 9311, 18622, 37244, 74488.

Number

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How to work it out

  1. 1

    74488 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

    74488 is composite. Its prime factorisation is

    74488=23×931174488 = 2^{3} \times 9311
  3. 3

    The divisors add up to 139680; without 74488 itself that is 65192, so 74488 is deficient (65192 is less than 74488). Euler's totient φ(74488) = 37240 numbers up to 74488 share no factor with it.

  4. 4

    The digits of 74488 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 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74488 = 2^{3} \times 9311 \]

74488 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors139680
Euler totient φ(n)37240
Square5548462144
Cube413293848182272
Square root272.924898 (= 2√18622)
Digit sum / digital root31 / 4
Collatz steps to 194
Scientific notation7.4488 × 10410^{4}

74488 in other forms

FormValue
In wordsseventy-four thousand four hundred and eighty-eight
Binary (base 2)10010001011111000
Octal (base 8)221370
Hexadecimal (base 16)122F8
Base 310210011211
As time74488 seconds = 20 h 41 min 28 s

Is 74488 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74488 ÷ 2 = 37244)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 (74488 ÷ 4 = 18622)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 (74488 ÷ 8 = 9311)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 74488 a prime number?

No. 74488 = 232^{3} × 9311, so it is divisible by 2.

What are the factors of 74488?

1, 2, 4, 8, 9311, 18622, 37244, 74488.

What is 74488 in binary?

10010001011111000 (hexadecimal 122F8, octal 221370).

What is the square root of 74488?

About 272.9249, exactly 2√18622.

Is 74488 divisible by 3?

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

What is special about the number 74488?

It is a composite number with 8 divisors.

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    74488: is it prime? Factors, square root, binary, Roman numeral | WordGPT