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The number 74698

74698 is a composite number with 16 divisors. Its prime factorisation is 2 × 13313^{3} × 17. Divisors (16): 1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2197, 2873, 4394, 5746, 37349, 74698.

Number

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How to work it out

  1. 1

    What is special about 74698: a Harshad number: divisible by its digit sum 34.

  2. 2

    74698 is composite. Its prime factorisation is

    74698=2×133×1774698 = 2 \times 13^{3} \times 17
  3. 3

    The divisors add up to 128520; without 74698 itself that is 53822, so 74698 is deficient (53822 is less than 74698). Euler's totient φ(74698) = 32448 numbers up to 74698 share no factor with it.

  4. 4

    The digits of 74698 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.

LaTeX source of the formulas on this page
\[ 74698 = 2 \times 13^{3} \times 17 \]

74698 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors128520
Euler totient φ(n)32448
Square5579791204
Cube416799243356392
Square root273.309349 (= 13√442)
Digit sum / digital root34 / 7
Collatz steps to 1156
Scientific notation7.4698 × 10410^{4}

74698 in other forms

FormValue
In wordsseventy-four thousand six hundred and ninety-eight
Binary (base 2)10010001111001010
Octal (base 8)221712
Hexadecimal (base 16)123CA
Base 310210110121
As time74698 seconds = 20 h 44 min 58 s

Is 74698 divisible by 2 to 12?

DivisorAnswerRule
2Yes (74698 ÷ 2 = 37349)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 3)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 1)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 2)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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 8)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 74698 a prime number?

No. 74698 = 2 × 13313^{3} × 17, so it is divisible by 2.

What are the factors of 74698?

1, 2, 13, 17, 26, 34, 169, 221, 338, 442, 2197, 2873, 4394, 5746, 37349, 74698.

What is 74698 in binary?

10010001111001010 (hexadecimal 123CA, octal 221712).

What is the square root of 74698?

About 273.3093, exactly 13√442.

Is 74698 divisible by 3?

No. Its digits add up to 34, which is not a multiple of 3.

What is special about the number 74698?

74698 is a Harshad number: divisible by its digit sum 34.

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    74698: is it prime? Factors, square root, binary, Roman numeral | WordGPT