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The number 74109

74109 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 3529. Divisors (8): 1, 3, 7, 21, 3529, 10587, 24703, 74109.

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How to work it out

  1. 1

    What is special about 74109: a Harshad number: divisible by its digit sum 21.

  2. 2

    74109 is composite. Its prime factorisation is

    74109=3×7×352974109 = 3 \times 7 \times 3529
  3. 3

    The divisors add up to 112960; without 74109 itself that is 38851, so 74109 is deficient (38851 is less than 74109). Euler's totient φ(74109) = 42336 numbers up to 74109 share no factor with it.

  4. 4

    The digits of 74109 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74109 = 3 \times 7 \times 3529 \]

74109 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors112960
Euler totient φ(n)42336
Square5492143881
Cube407017290877029
Square root272.229682
Digit sum / digital root21 / 3
Collatz steps to 1143
Scientific notation7.4109 × 10410^{4}

74109 in other forms

FormValue
In wordsseventy-four thousand one hundred and nine
Binary (base 2)10010000101111101
Octal (base 8)220575
Hexadecimal (base 16)1217D
Base 310202122210
As time74109 seconds = 20 h 35 min 9 s

Is 74109 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 (74109 ÷ 3 = 24703)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 4)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 (74109 ÷ 7 = 10587)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.
9No (remainder 3)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 74109 a prime number?

No. 74109 = 3 × 7 × 3529, so it is divisible by 3.

What are the factors of 74109?

1, 3, 7, 21, 3529, 10587, 24703, 74109.

What is 74109 in binary?

10010000101111101 (hexadecimal 1217D, octal 220575).

What is the square root of 74109?

About 272.2297.

Is 74109 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 74109?

74109 is a Harshad number: divisible by its digit sum 21.

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    74109: is it prime? Factors, square root, binary, Roman numeral | WordGPT