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The number 41708

41708 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 10427. Divisors (6): 1, 2, 4, 10427, 20854, 41708.

Number

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How to work it out

  1. 1

    What is special about 41708: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    41708 is composite. Its prime factorisation is

    41708=22×1042741708 = 2^{2} \times 10427
  3. 3

    The divisors add up to 72996; without 41708 itself that is 31288, so 41708 is deficient (31288 is less than 41708). Euler's totient φ(41708) = 20852 numbers up to 41708 share no factor with it.

  4. 4

    The digits of 41708 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 111 steps to reach 1.

LaTeX source of the formulas on this page
\[ 41708 = 2^{2} \times 10427 \]

41708 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors72996
Euler totient φ(n)20852
Square1739557264
Cube72553454366912
Square root204.225366 (= 2√10427)
Digit sum / digital root20 / 2
Collatz steps to 1111
Scientific notation4.1708 × 10410^{4}

41708 in other forms

FormValue
In wordsforty-one thousand seven hundred and eight
Binary (base 2)1010001011101100
Octal (base 8)121354
Hexadecimal (base 16)A2EC
Base 32010012202
As time41708 seconds = 11 h 35 min 8 s

Is 41708 divisible by 2 to 12?

DivisorAnswerRule
2Yes (41708 ÷ 2 = 20854)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.
4Yes (41708 ÷ 4 = 10427)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 4)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 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 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 41708 a prime number?

No. 41708 = 222^{2} × 10427, so it is divisible by 2.

What are the factors of 41708?

1, 2, 4, 10427, 20854, 41708.

What is 41708 in binary?

1010001011101100 (hexadecimal A2EC, octal 121354).

What is the square root of 41708?

About 204.2254, exactly 2√10427.

Is 41708 divisible by 3?

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

What is special about the number 41708?

41708 is a happy number: repeatedly adding the squares of its digits reaches 1.

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