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The number 63763

63763 is a composite number with 4 divisors. Its prime factorisation is 7 × 9109. Divisors (4): 1, 7, 9109, 63763.

Number

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How to work it out

  1. 1

    What is special about 63763: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 9109, the product of two primes.

  2. 2

    63763 is composite. Its prime factorisation is

    63763=7×910963763 = 7 \times 9109
  3. 3

    The divisors add up to 72880; without 63763 itself that is 9117, so 63763 is deficient (9117 is less than 63763). Euler's totient φ(63763) = 54648 numbers up to 63763 share no factor with it.

  4. 4

    The digits of 63763 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 63763 = 7 \times 9109 \]

63763 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors72880
Euler totient φ(n)54648
Square4065720169
Cube259242515135947
Square root252.513366
Digit sum / digital root25 / 7
Collatz steps to 1179
Scientific notation6.3763 × 10410^{4}

63763 in other forms

FormValue
In wordssixty-three thousand seven hundred and sixty-three
Binary (base 2)1111100100010011
Octal (base 8)174423
Hexadecimal (base 16)F913
Base 310020110121
As time63763 seconds = 17 h 42 min 43 s

Is 63763 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 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (63763 ÷ 7 = 9109)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 3)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.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 63763 a prime number?

No. 63763 = 7 × 9109, so it is divisible by 7.

What are the factors of 63763?

1, 7, 9109, 63763.

What is 63763 in binary?

1111100100010011 (hexadecimal F913, octal 174423).

What is the square root of 63763?

About 252.5134.

Is 63763 divisible by 3?

No. Its digits add up to 25, which is not a multiple of 3.

What is special about the number 63763?

63763 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 7 × 9109, the product of two primes.

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