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The number 69741

69741 is a composite number with 24 divisors. Its prime factorisation is 353^{5} × 7 × 41. Divisors (24): 1, 3, 7, 9, 21, 27, 41, 63, 81, 123, 189, 243, 287, 369, 567, 861 … 69741.

Number

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How to work it out

  1. 1

    What is special about 69741: a Harshad number: divisible by its digit sum 27.

  2. 2

    69741 is composite. Its prime factorisation is

    69741=35×7×4169741 = 3^{5} \times 7 \times 41
  3. 3

    The divisors add up to 122304; without 69741 itself that is 52563, so 69741 is deficient (52563 is less than 69741). Euler's totient φ(69741) = 38880 numbers up to 69741 share no factor with it.

  4. 4

    The digits of 69741 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.

LaTeX source of the formulas on this page
\[ 69741 = 3^{5} \times 7 \times 41 \]

69741 at a glance

PropertyValue
Typecomposite
Number of divisors24
Sum of divisors122304
Euler totient φ(n)38880
Square4863807081
Cube339206769636021
Square root264.085214 (= 9√861)
Digit sum / digital root27 / 9
Collatz steps to 1161
Scientific notation6.9741 × 10410^{4}

69741 in other forms

FormValue
In wordssixty-nine thousand seven hundred and forty-one
Binary (base 2)10001000001101101
Octal (base 8)210155
Hexadecimal (base 16)1106D
Base 310112200000
As time69741 seconds = 19 h 22 min 21 s

Is 69741 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 (69741 ÷ 3 = 23247)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.
7Yes (69741 ÷ 7 = 9963)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (69741 ÷ 9 = 7749)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 1)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 69741 a prime number?

No. 69741 = 353^{5} × 7 × 41, so it is divisible by 3.

What are the factors of 69741?

1, 3, 7, 9, 21, 27, 41, 63, 81, 123, 189, 243, 287, 369, 567, 861, 1107, 1701, 2583, 3321, 7749, 9963, 23247, 69741.

What is 69741 in binary?

10001000001101101 (hexadecimal 1106D, octal 210155).

What is the square root of 69741?

About 264.0852, exactly 9√861.

Is 69741 divisible by 3?

Yes. Its digits add up to 27, a multiple of 3.

What is special about the number 69741?

69741 is a Harshad number: divisible by its digit sum 27.

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