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The number 74438

74438 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 13 × 409. Divisors (16): 1, 2, 7, 13, 14, 26, 91, 182, 409, 818, 2863, 5317, 5726, 10634, 37219, 74438.

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How to work it out

  1. 1

    What is special about 74438: a Harshad number: divisible by its digit sum 26.

  2. 2

    74438 is composite. Its prime factorisation is

    74438=2×7×13×40974438 = 2 \times 7 \times 13 \times 409
  3. 3

    The divisors add up to 137760; without 74438 itself that is 63322, so 74438 is deficient (63322 is less than 74438). Euler's totient φ(74438) = 29376 numbers up to 74438 share no factor with it.

  4. 4

    The digits of 74438 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74438 = 2 \times 7 \times 13 \times 409 \]

74438 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors137760
Euler totient φ(n)29376
Square5541015844
Cube412462137395672
Square root272.833282
Digit sum / digital root26 / 8
Collatz steps to 194
Scientific notation7.4438 × 10410^{4}

74438 in other forms

FormValue
In wordsseventy-four thousand four hundred and thirty-eight
Binary (base 2)10010001011000110
Octal (base 8)221306
Hexadecimal (base 16)122C6
Base 310210002222
As time74438 seconds = 20 h 40 min 38 s

Is 74438 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74438 ÷ 2 = 37219)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.
4No (remainder 2)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.
7Yes (74438 ÷ 7 = 10634)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 8)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 74438 a prime number?

No. 74438 = 2 × 7 × 13 × 409, so it is divisible by 2.

What are the factors of 74438?

1, 2, 7, 13, 14, 26, 91, 182, 409, 818, 2863, 5317, 5726, 10634, 37219, 74438.

What is 74438 in binary?

10010001011000110 (hexadecimal 122C6, octal 221306).

What is the square root of 74438?

About 272.8333.

Is 74438 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 74438?

74438 is a Harshad number: divisible by its digit sum 26.

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