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The number 62212

62212 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 103 × 151. Divisors (12): 1, 2, 4, 103, 151, 206, 302, 412, 604, 15553, 31106, 62212.

Number

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How to work it out

  1. 1

    What is special about 62212: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    62212 is composite. Its prime factorisation is

    62212=22×103×15162212 = 2^{2} \times 103 \times 151
  3. 3

    The divisors add up to 110656; without 62212 itself that is 48444, so 62212 is deficient (48444 is less than 62212). Euler's totient φ(62212) = 30600 numbers up to 62212 share no factor with it.

  4. 4

    The digits of 62212 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62212 = 2^{2} \times 103 \times 151 \]

62212 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors110656
Euler totient φ(n)30600
Square3870332944
Cube240781153112128
Square root249.423335 (= 2√15553)
Digit sum / digital root13 / 4
Collatz steps to 186
Scientific notation6.2212 × 10410^{4}

62212 in other forms

FormValue
In wordssixty-two thousand two hundred and twelve
Binary (base 2)1111001100000100
Octal (base 8)171404
Hexadecimal (base 16)F304
Base 310011100011
As time62212 seconds = 17 h 16 min 52 s

Is 62212 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62212 ÷ 2 = 31106)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.
4Yes (62212 ÷ 4 = 15553)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 3)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 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 7)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62212 a prime number?

No. 62212 = 222^{2} × 103 × 151, so it is divisible by 2.

What are the factors of 62212?

1, 2, 4, 103, 151, 206, 302, 412, 604, 15553, 31106, 62212.

What is 62212 in binary?

1111001100000100 (hexadecimal F304, octal 171404).

What is the square root of 62212?

About 249.4233, exactly 2√15553.

Is 62212 divisible by 3?

No. Its digits add up to 13, which is not a multiple of 3.

What is special about the number 62212?

62212 is a happy number: repeatedly adding the squares of its digits reaches 1.

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