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The number 41374

41374 is a composite number with 8 divisors. Its prime factorisation is 2 × 137 × 151. Divisors (8): 1, 2, 137, 151, 274, 302, 20687, 41374.

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How to work it out

  1. 1

    What is special about 41374: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    41374 is composite. Its prime factorisation is

    41374=2×137×15141374 = 2 \times 137 \times 151
  3. 3

    The divisors add up to 62928; without 41374 itself that is 21554, so 41374 is deficient (21554 is less than 41374). Euler's totient φ(41374) = 20400 numbers up to 41374 share no factor with it.

  4. 4

    The digits of 41374 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41374 = 2 \times 137 \times 151 \]

41374 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors62928
Euler totient φ(n)20400
Square1711807876
Cube70824339061624
Square root203.405998
Digit sum / digital root19 / 1
Collatz steps to 188
Scientific notation4.1374 × 10410^{4}

41374 in other forms

FormValue
In wordsforty-one thousand three hundred and seventy-four
Binary (base 2)1010000110011110
Octal (base 8)120636
Hexadecimal (base 16)A19E
Base 32002202101
As time41374 seconds = 11 h 29 min 34 s

Is 41374 divisible by 2 to 12?

DivisorAnswerRule
2Yes (41374 ÷ 2 = 20687)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 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.
8No (remainder 6)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)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 3)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 41374 a prime number?

No. 41374 = 2 × 137 × 151, so it is divisible by 2.

What are the factors of 41374?

1, 2, 137, 151, 274, 302, 20687, 41374.

What is 41374 in binary?

1010000110011110 (hexadecimal A19E, octal 120636).

What is the square root of 41374?

About 203.4060.

Is 41374 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 41374?

41374 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    41374: is it prime? Factors, square root, binary, Roman numeral | WordGPT