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The number 77636

77636 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 13 × 1493. Divisors (12): 1, 2, 4, 13, 26, 52, 1493, 2986, 5972, 19409, 38818, 77636.

Number

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How to work it out

  1. 1

    77636 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

    77636 is composite. Its prime factorisation is

    77636=22×13×149377636 = 2^{2} \times 13 \times 1493
  3. 3

    The divisors add up to 146412; without 77636 itself that is 68776, so 77636 is deficient (68776 is less than 77636). Euler's totient φ(77636) = 35808 numbers up to 77636 share no factor with it.

  4. 4

    The digits of 77636 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.

LaTeX source of the formulas on this page
\[ 77636 = 2^{2} \times 13 \times 1493 \]

77636 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors146412
Euler totient φ(n)35808
Square6027348496
Cube467939227835456
Square root278.632374 (= 2√19409)
Digit sum / digital root29 / 2
Collatz steps to 1169
Scientific notation7.7636 × 10410^{4}

77636 in other forms

FormValue
In wordsseventy-seven thousand six hundred and thirty-six
Binary (base 2)10010111101000100
Octal (base 8)227504
Hexadecimal (base 16)12F44
Base 310221111102
As time77636 seconds = 21 h 33 min 56 s

Is 77636 divisible by 2 to 12?

DivisorAnswerRule
2Yes (77636 ÷ 2 = 38818)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 (77636 ÷ 4 = 19409)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 2)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 4)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 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 77636 a prime number?

No. 77636 = 222^{2} × 13 × 1493, so it is divisible by 2.

What are the factors of 77636?

1, 2, 4, 13, 26, 52, 1493, 2986, 5972, 19409, 38818, 77636.

What is 77636 in binary?

10010111101000100 (hexadecimal 12F44, octal 227504).

What is the square root of 77636?

About 278.6324, exactly 2√19409.

Is 77636 divisible by 3?

No. Its digits add up to 29, which is not a multiple of 3.

What is special about the number 77636?

It is a composite number with 12 divisors.

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