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The number 38722

38722 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1019. Divisors (8): 1, 2, 19, 38, 1019, 2038, 19361, 38722.

Number

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How to work it out

  1. 1

    What is special about 38722: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    38722 is composite. Its prime factorisation is

    38722=2×19×101938722 = 2 \times 19 \times 1019
  3. 3

    The divisors add up to 61200; without 38722 itself that is 22478, so 38722 is deficient (22478 is less than 38722). Euler's totient φ(38722) = 18324 numbers up to 38722 share no factor with it.

  4. 4

    The digits of 38722 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.

LaTeX source of the formulas on this page
\[ 38722 = 2 \times 19 \times 1019 \]

38722 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors61200
Euler totient φ(n)18324
Square1499393284
Cube58059506743048
Square root196.779064
Digit sum / digital root22 / 4
Collatz steps to 175
Scientific notation3.8722 × 10410^{4}

38722 in other forms

FormValue
In wordsthirty-eight thousand seven hundred and twenty-two
Binary (base 2)1001011101000010
Octal (base 8)113502
Hexadecimal (base 16)9742
Base 31222010011
As time38722 seconds = 10 h 45 min 22 s

Is 38722 divisible by 2 to 12?

DivisorAnswerRule
2Yes (38722 ÷ 2 = 19361)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 5)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 4)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 2)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 38722 a prime number?

No. 38722 = 2 × 19 × 1019, so it is divisible by 2.

What are the factors of 38722?

1, 2, 19, 38, 1019, 2038, 19361, 38722.

What is 38722 in binary?

1001011101000010 (hexadecimal 9742, octal 113502).

What is the square root of 38722?

About 196.7791.

Is 38722 divisible by 3?

No. Its digits add up to 22, which is not a multiple of 3.

What is special about the number 38722?

38722 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    38722: is it prime? Factors, square root, binary, Roman numeral | WordGPT