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The number 61329

61329 is a composite number with 4 divisors. Its prime factorisation is 3 × 20443. Divisors (4): 1, 3, 20443, 61329.

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How to work it out

  1. 1

    What is special about 61329: a semiprime: 3 × 20443, the product of two primes.

  2. 2

    61329 is composite. Its prime factorisation is

    61329=3×2044361329 = 3 \times 20443
  3. 3

    The divisors add up to 81776; without 61329 itself that is 20447, so 61329 is deficient (20447 is less than 61329). Euler's totient φ(61329) = 40884 numbers up to 61329 share no factor with it.

  4. 4

    The digits of 61329 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.

LaTeX source of the formulas on this page
\[ 61329 = 3 \times 20443 \]

61329 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors81776
Euler totient φ(n)40884
Square3761246241
Cube230673470714289
Square root247.646926
Digit sum / digital root21 / 3
Collatz steps to 1148
Scientific notation6.1329 × 10410^{4}

61329 in other forms

FormValue
In wordssixty-one thousand three hundred and twenty-nine
Binary (base 2)1110111110010001
Octal (base 8)167621
Hexadecimal (base 16)EF91
Base 310010010110
As time61329 seconds = 17 h 2 min 9 s

Is 61329 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).
3Yes (61329 ÷ 3 = 20443)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 2)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 3)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 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 61329 a prime number?

No. 61329 = 3 × 20443, so it is divisible by 3.

What are the factors of 61329?

1, 3, 20443, 61329.

What is 61329 in binary?

1110111110010001 (hexadecimal EF91, octal 167621).

What is the square root of 61329?

About 247.6469.

Is 61329 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 61329?

61329 is a semiprime: 3 × 20443, the product of two primes.

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