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The number 63321

63321 is a composite number with 4 divisors. Its prime factorisation is 3 × 21107. Divisors (4): 1, 3, 21107, 63321.

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How to work it out

  1. 1

    What is special about 63321: a semiprime: 3 × 21107, the product of two primes.

  2. 2

    63321 is composite. Its prime factorisation is

    63321=3×2110763321 = 3 \times 21107
  3. 3

    The divisors add up to 84432; without 63321 itself that is 21111, so 63321 is deficient (21111 is less than 63321). Euler's totient φ(63321) = 42212 numbers up to 63321 share no factor with it.

  4. 4

    The digits of 63321 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.

LaTeX source of the formulas on this page
\[ 63321 = 3 \times 21107 \]

63321 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors84432
Euler totient φ(n)42212
Square4009549041
Cube253888654825161
Square root251.636643
Digit sum / digital root15 / 6
Collatz steps to 1104
Scientific notation6.3321 × 10410^{4}

63321 in other forms

FormValue
In wordssixty-three thousand three hundred and twenty-one
Binary (base 2)1111011101011001
Octal (base 8)173531
Hexadecimal (base 16)F759
Base 310012212020
As time63321 seconds = 17 h 35 min 21 s

Is 63321 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 (63321 ÷ 3 = 21107)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 1)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 6)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 6)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)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 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 63321 a prime number?

No. 63321 = 3 × 21107, so it is divisible by 3.

What are the factors of 63321?

1, 3, 21107, 63321.

What is 63321 in binary?

1111011101011001 (hexadecimal F759, octal 173531).

What is the square root of 63321?

About 251.6366.

Is 63321 divisible by 3?

Yes. Its digits add up to 15, a multiple of 3.

What is special about the number 63321?

63321 is a semiprime: 3 × 21107, the product of two primes.

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