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The number 62248

62248 is a composite number with 16 divisors. Its prime factorisation is 232^{3} × 31 × 251. Divisors (16): 1, 2, 4, 8, 31, 62, 124, 248, 251, 502, 1004, 2008, 7781, 15562, 31124, 62248.

Number

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How to work it out

  1. 1

    62248 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

    62248 is composite. Its prime factorisation is

    62248=23×31×25162248 = 2^{3} \times 31 \times 251
  3. 3

    The divisors add up to 120960; without 62248 itself that is 58712, so 62248 is deficient (58712 is less than 62248). Euler's totient φ(62248) = 30000 numbers up to 62248 share no factor with it.

  4. 4

    The digits of 62248 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 42 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62248 = 2^{3} \times 31 \times 251 \]

62248 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors120960
Euler totient φ(n)30000
Square3874813504
Cube241199390996992
Square root249.495491 (= 2√15562)
Digit sum / digital root22 / 4
Collatz steps to 142
Scientific notation6.2248 × 10410^{4}

62248 in other forms

FormValue
In wordssixty-two thousand two hundred and forty-eight
Binary (base 2)1111001100101000
Octal (base 8)171450
Hexadecimal (base 16)F328
Base 310011101111
As time62248 seconds = 17 h 17 min 28 s

Is 62248 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62248 ÷ 2 = 31124)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 (62248 ÷ 4 = 15562)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.
8Yes (62248 ÷ 8 = 7781)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 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 10)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 62248 a prime number?

No. 62248 = 232^{3} × 31 × 251, so it is divisible by 2.

What are the factors of 62248?

1, 2, 4, 8, 31, 62, 124, 248, 251, 502, 1004, 2008, 7781, 15562, 31124, 62248.

What is 62248 in binary?

1111001100101000 (hexadecimal F328, octal 171450).

What is the square root of 62248?

About 249.4955, exactly 2√15562.

Is 62248 divisible by 3?

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

What is special about the number 62248?

It is a composite number with 16 divisors.

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