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The number 77722

77722 is a composite number with 4 divisors. Its prime factorisation is 2 × 38861. Divisors (4): 1, 2, 38861, 77722.

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How to work it out

  1. 1

    What is special about 77722: a semiprime: 2 × 38861, the product of two primes.

  2. 2

    77722 is composite. Its prime factorisation is

    77722=2×3886177722 = 2 \times 38861
  3. 3

    The divisors add up to 116586; without 77722 itself that is 38864, so 77722 is deficient (38864 is less than 77722). Euler's totient φ(77722) = 38860 numbers up to 77722 share no factor with it.

  4. 4

    The digits of 77722 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 169 steps to reach 1.

LaTeX source of the formulas on this page
\[ 77722 = 2 \times 38861 \]

77722 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors116586
Euler totient φ(n)38860
Square6040709284
Cube469496006971048
Square root278.786657
Digit sum / digital root25 / 7
Collatz steps to 1169
Scientific notation7.7722 × 10410^{4}

77722 in other forms

FormValue
In wordsseventy-seven thousand seven hundred and twenty-two
Binary (base 2)10010111110011010
Octal (base 8)227632
Hexadecimal (base 16)12F9A
Base 310221121121
As time77722 seconds = 21 h 35 min 22 s

Is 77722 divisible by 2 to 12?

DivisorAnswerRule
2Yes (77722 ÷ 2 = 38861)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 2)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 2)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 77722 a prime number?

No. 77722 = 2 × 38861, so it is divisible by 2.

What are the factors of 77722?

1, 2, 38861, 77722.

What is 77722 in binary?

10010111110011010 (hexadecimal 12F9A, octal 227632).

What is the square root of 77722?

About 278.7867.

Is 77722 divisible by 3?

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

What is special about the number 77722?

77722 is a semiprime: 2 × 38861, the product of two primes.

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