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The number 61304

61304 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 79 × 97. Divisors (16): 1, 2, 4, 8, 79, 97, 158, 194, 316, 388, 632, 776, 7663, 15326, 30652, 61304.

Number

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How to work it out

  1. 1

    61304 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    61304 is composite. Its prime factorisation is

    61304=23×79×9761304 = 2^{3} \times 79 \times 97
  3. 3

    The divisors add up to 117600; without 61304 itself that is 56296, so 61304 is deficient (56296 is less than 61304). Euler's totient φ(61304) = 29952 numbers up to 61304 share no factor with it.

  4. 4

    The digits of 61304 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61304 = 2^{3} \times 79 \times 97 \]

61304 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors117600
Euler totient φ(n)29952
Square3758180416
Cube230391492222464
Square root247.596446 (= 2√15326)
Digit sum / digital root14 / 5
Collatz steps to 191
Scientific notation6.1304 × 10410^{4}

61304 in other forms

FormValue
In wordssixty-one thousand three hundred and four
Binary (base 2)1110111101111000
Octal (base 8)167570
Hexadecimal (base 16)EF78
Base 310010002112
As time61304 seconds = 17 h 1 min 44 s

Is 61304 divisible by 2 to 12?

DivisorAnswerRule
2Yes (61304 ÷ 2 = 30652)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.
4Yes (61304 ÷ 4 = 15326)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 2)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 5)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 (61304 ÷ 8 = 7663)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61304 a prime number?

No. 61304 = 232^{3} × 79 × 97, so it is divisible by 2.

What are the factors of 61304?

1, 2, 4, 8, 79, 97, 158, 194, 316, 388, 632, 776, 7663, 15326, 30652, 61304.

What is 61304 in binary?

1110111101111000 (hexadecimal EF78, octal 167570).

What is the square root of 61304?

About 247.5964, exactly 2√15326.

Is 61304 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 61304?

It is a composite number with 16 divisors.

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    61304: is it prime? Factors, square root, binary, Roman numeral | WordGPT