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The number 70704

70704 is a composite number with 30 divisors. Its prime factorisation is 242^{4} × 323^{2} × 491. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 491 … 70704.

Number

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How to work it out

  1. 1

    What is special about 70704: a Harshad number: divisible by its digit sum 18.

  2. 2

    70704 is composite. Its prime factorisation is

    70704=24×32×49170704 = 2^{4} \times 3^{2} \times 491
  3. 3

    The divisors add up to 198276; without 70704 itself that is 127572, so 70704 is abundant (127572 is more than 70704). Euler's totient φ(70704) = 23520 numbers up to 70704 share no factor with it.

  4. 4

    The digits of 70704 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.

LaTeX source of the formulas on this page
\[ 70704 = 2^{4} \times 3^{2} \times 491 \]

70704 at a glance

PropertyValue
Typecomposite
Number of divisors30
Sum of divisors198276
Euler totient φ(n)23520
Square4999055616
Cube353453228273664
Square root265.902238 (= 12√491)
Digit sum / digital root18 / 9
Collatz steps to 181
Scientific notation7.0704 × 10410^{4}

70704 in other forms

FormValue
In wordsseventy thousand seven hundred and four
Binary (base 2)10001010000110000
Octal (base 8)212060
Hexadecimal (base 16)11430
Base 310120222200
As time70704 seconds = 19 h 38 min 24 s

Is 70704 divisible by 2 to 12?

DivisorAnswerRule
2Yes (70704 ÷ 2 = 35352)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (70704 ÷ 3 = 23568)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (70704 ÷ 4 = 17676)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.
6Yes (70704 ÷ 6 = 11784)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8Yes (70704 ÷ 8 = 8838)A number is divisible by 8 if the last three digits make a multiple of 8.
9Yes (70704 ÷ 9 = 7856)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)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.
12Yes (70704 ÷ 12 = 5892)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 70704 a prime number?

No. 70704 = 242^{4} × 323^{2} × 491, so it is divisible by 2.

What are the factors of 70704?

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 491, 982, 1473, 1964, 2946, 3928, 4419, 5892, 7856, 8838, 11784, 17676, 23568, 35352, 70704.

What is 70704 in binary?

10001010000110000 (hexadecimal 11430, octal 212060).

What is the square root of 70704?

About 265.9022, exactly 12√491.

Is 70704 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 70704?

70704 is a Harshad number: divisible by its digit sum 18.

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    70704: is it prime? Factors, square root, binary, Roman numeral | WordGPT