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The number 60329

60329 is a composite number with 8 divisors. Its prime factorisation is 23 × 43 × 61. Divisors (8): 1, 23, 43, 61, 989, 1403, 2623, 60329.

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How to work it out

  1. 1

    What is special about 60329: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    60329 is composite. Its prime factorisation is

    60329=23×43×6160329 = 23 \times 43 \times 61
  3. 3

    The divisors add up to 65472; without 60329 itself that is 5143, so 60329 is deficient (5143 is less than 60329). Euler's totient φ(60329) = 55440 numbers up to 60329 share no factor with it.

  4. 4

    The digits of 60329 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 241 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60329 = 23 \times 43 \times 61 \]

60329 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors65472
Euler totient φ(n)55440
Square3639588241
Cube219572718991289
Square root245.619625
Digit sum / digital root20 / 2
Collatz steps to 1241
Scientific notation6.0329 × 10410^{4}

60329 in other forms

FormValue
In wordssixty thousand three hundred and twenty-nine
Binary (base 2)1110101110101001
Octal (base 8)165651
Hexadecimal (base 16)EBA9
Base 310001202102
As time60329 seconds = 16 h 45 min 29 s

Is 60329 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).
3No (remainder 2)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 5)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 1)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 5)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60329 a prime number?

No. 60329 = 23 × 43 × 61, so it is divisible by 23.

What are the factors of 60329?

1, 23, 43, 61, 989, 1403, 2623, 60329.

What is 60329 in binary?

1110101110101001 (hexadecimal EBA9, octal 165651).

What is the square root of 60329?

About 245.6196.

Is 60329 divisible by 3?

No. Its digits add up to 20, which is not a multiple of 3.

What is special about the number 60329?

60329 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    60329: is it prime? Factors, square root, binary, Roman numeral | WordGPT