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The number 74014

74014 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 1609. Divisors (8): 1, 2, 23, 46, 1609, 3218, 37007, 74014.

Number

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How to work it out

  1. 1

    What is special about 74014: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    74014 is composite. Its prime factorisation is

    74014=2×23×160974014 = 2 \times 23 \times 1609
  3. 3

    The divisors add up to 115920; without 74014 itself that is 41906, so 74014 is deficient (41906 is less than 74014). Euler's totient φ(74014) = 35376 numbers up to 74014 share no factor with it.

  4. 4

    The digits of 74014 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74014 = 2 \times 23 \times 1609 \]

74014 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors115920
Euler totient φ(n)35376
Square5478072196
Cube405454035514744
Square root272.055141
Digit sum / digital root16 / 7
Collatz steps to 1187
Scientific notation7.4014 × 10410^{4}

74014 in other forms

FormValue
In wordsseventy-four thousand and fourteen
Binary (base 2)10010000100011110
Octal (base 8)220436
Hexadecimal (base 16)1211E
Base 310202112021
As time74014 seconds = 20 h 33 min 34 s

Is 74014 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74014 ÷ 2 = 37007)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 2)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 4)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 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 6)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74014 a prime number?

No. 74014 = 2 × 23 × 1609, so it is divisible by 2.

What are the factors of 74014?

1, 2, 23, 46, 1609, 3218, 37007, 74014.

What is 74014 in binary?

10010000100011110 (hexadecimal 1211E, octal 220436).

What is the square root of 74014?

About 272.0551.

Is 74014 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 74014?

74014 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    74014: is it prime? Factors, square root, binary, Roman numeral | WordGPT