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The number 62023

62023 is a composite number with 6 divisors. Its prime factorisation is 13213^{2} Ɨ 367. Divisors (6): 1, 13, 169, 367, 4771, 62023.

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How to work it out

  1. 1

    What is special about 62023: a Harshad number: divisible by its digit sum 13.

  2. 2

    62023 is composite. Its prime factorisation is

    62023=132Ɨ36762023 = 13^{2} \times 367
  3. 3

    The divisors add up to 67344; without 62023 itself that is 5321, so 62023 is deficient (5321 is less than 62023). Euler's totient φ(62023) = 57096 numbers up to 62023 share no factor with it.

  4. 4

    The digits of 62023 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 161 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62023 = 13^{2} \times 367 \]

62023 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors67344
Euler totient φ(n)57096
Square3846852529
Cube238593334406167
Square root249.044173 (= 13√367)
Digit sum / digital root13 / 4
Collatz steps to 1161
Scientific notation6.2023 Ɨ 10410^{4}

62023 in other forms

FormValue
In wordssixty-two thousand and twenty-three
Binary (base 2)1111001001000111
Octal (base 8)171107
Hexadecimal (base 16)F247
Base 310011002011
As time62023 seconds = 17 h 13 min 43 s

Is 62023 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)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 3)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 1)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 7)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 3)A number is divisible by 10 if the last digit is 0.
11No (remainder 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 62023 a prime number?

No. 62023 = 13213^{2} Ɨ 367, so it is divisible by 13.

What are the factors of 62023?

1, 13, 169, 367, 4771, 62023.

What is 62023 in binary?

1111001001000111 (hexadecimal F247, octal 171107).

What is the square root of 62023?

About 249.0442, exactly 13√367.

Is 62023 divisible by 3?

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

What is special about the number 62023?

62023 is a Harshad number: divisible by its digit sum 13.

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