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The number 74481

74481 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 37 × 61. Divisors (16): 1, 3, 11, 33, 37, 61, 111, 183, 407, 671, 1221, 2013, 2257, 6771, 24827, 74481.

Number

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How to work it out

  1. 1

    74481 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

    74481 is composite. Its prime factorisation is

    74481=3×11×37×6174481 = 3 \times 11 \times 37 \times 61
  3. 3

    The divisors add up to 113088; without 74481 itself that is 38607, so 74481 is deficient (38607 is less than 74481). Euler's totient φ(74481) = 43200 numbers up to 74481 share no factor with it.

  4. 4

    The digits of 74481 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74481 = 3 \times 11 \times 37 \times 61 \]

74481 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors113088
Euler totient φ(n)43200
Square5547419361
Cube413177341426641
Square root272.912074
Digit sum / digital root24 / 6
Collatz steps to 1156
Scientific notation7.4481 × 10410^{4}

74481 in other forms

FormValue
In wordsseventy-four thousand four hundred and eighty-one
Binary (base 2)10010001011110001
Octal (base 8)221361
Hexadecimal (base 16)122F1
Base 310210011120
As time74481 seconds = 20 h 41 min 21 s

Is 74481 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 (74481 ÷ 3 = 24827)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 1)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 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.
8No (remainder 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11Yes (74481 ÷ 11 = 6771)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 74481 a prime number?

No. 74481 = 3 × 11 × 37 × 61, so it is divisible by 3.

What are the factors of 74481?

1, 3, 11, 33, 37, 61, 111, 183, 407, 671, 1221, 2013, 2257, 6771, 24827, 74481.

What is 74481 in binary?

10010001011110001 (hexadecimal 122F1, octal 221361).

What is the square root of 74481?

About 272.9121.

Is 74481 divisible by 3?

Yes. Its digits add up to 24, a multiple of 3.

What is special about the number 74481?

It is a composite number with 16 divisors.

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    74481: is it prime? Factors, square root, binary, Roman numeral | WordGPT