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The number 62668

62668 is a composite number with 6 divisors. Its prime factorisation is 222^{2} × 15667. Divisors (6): 1, 2, 4, 15667, 31334, 62668.

Number

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How to work it out

  1. 1

    What is special about 62668: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    62668 is composite. Its prime factorisation is

    62668=22×1566762668 = 2^{2} \times 15667
  3. 3

    The divisors add up to 109676; without 62668 itself that is 47008, so 62668 is deficient (47008 is less than 62668). Euler's totient φ(62668) = 31332 numbers up to 62668 share no factor with it.

  4. 4

    The digits of 62668 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62668 = 2^{2} \times 15667 \]

62668 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors109676
Euler totient φ(n)31332
Square3927278224
Cube246114671741632
Square root250.335775 (= 2√15667)
Digit sum / digital root28 / 1
Collatz steps to 160
Scientific notation6.2668 × 10410^{4}

62668 in other forms

FormValue
In wordssixty-two thousand six hundred and sixty-eight
Binary (base 2)1111010011001100
Octal (base 8)172314
Hexadecimal (base 16)F4CC
Base 310011222001
As time62668 seconds = 17 h 24 min 28 s

Is 62668 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62668 ÷ 2 = 31334)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 (62668 ÷ 4 = 15667)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 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)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 62668 a prime number?

No. 62668 = 222^{2} × 15667, so it is divisible by 2.

What are the factors of 62668?

1, 2, 4, 15667, 31334, 62668.

What is 62668 in binary?

1111010011001100 (hexadecimal F4CC, octal 172314).

What is the square root of 62668?

About 250.3358, exactly 2√15667.

Is 62668 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 62668?

62668 is a happy number: repeatedly adding the squares of its digits reaches 1.

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