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The number 74081

74081 is a composite number with 8 divisors. Its prime factorisation is 7 × 19 × 557. Divisors (8): 1, 7, 19, 133, 557, 3899, 10583, 74081.

Number

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How to work it out

  1. 1

    What is special about 74081: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74081 is composite. Its prime factorisation is

    74081=7×19×55774081 = 7 \times 19 \times 557
  3. 3

    The divisors add up to 89280; without 74081 itself that is 15199, so 74081 is deficient (15199 is less than 74081). Euler's totient φ(74081) = 60048 numbers up to 74081 share no factor with it.

  4. 4

    The digits of 74081 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74081 = 7 \times 19 \times 557 \]

74081 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors89280
Euler totient φ(n)60048
Square5487994561
Cube406556125073441
Square root272.178250
Digit sum / digital root20 / 2
Collatz steps to 1143
Scientific notation7.4081 × 10410^{4}

74081 in other forms

FormValue
In wordsseventy-four thousand and eighty-one
Binary (base 2)10010000101100001
Octal (base 8)220541
Hexadecimal (base 16)12161
Base 310202121202
As time74081 seconds = 20 h 34 min 41 s

Is 74081 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 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (74081 ÷ 7 = 10583)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 2)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.
11No (remainder 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74081 a prime number?

No. 74081 = 7 × 19 × 557, so it is divisible by 7.

What are the factors of 74081?

1, 7, 19, 133, 557, 3899, 10583, 74081.

What is 74081 in binary?

10010000101100001 (hexadecimal 12161, octal 220541).

What is the square root of 74081?

About 272.1783.

Is 74081 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 74081?

74081 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74081: is it prime? Factors, square root, binary, Roman numeral | WordGPT