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The number 60203

60203 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 421. Divisors (8): 1, 11, 13, 143, 421, 4631, 5473, 60203.

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How to work it out

  1. 1

    What is special about 60203: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 11.

  2. 2

    60203 is composite. Its prime factorisation is

    60203=11×13×42160203 = 11 \times 13 \times 421
  3. 3

    The divisors add up to 70896; without 60203 itself that is 10693, so 60203 is deficient (10693 is less than 60203). Euler's totient φ(60203) = 50400 numbers up to 60203 share no factor with it.

  4. 4

    The digits of 60203 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60203 = 11 \times 13 \times 421 \]

60203 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors70896
Euler totient φ(n)50400
Square3624401209
Cube218199825985427
Square root245.362996
Digit sum / digital root11 / 2
Collatz steps to 1210
Scientific notation6.0203 × 10410^{4}

60203 in other forms

FormValue
In wordssixty thousand two hundred and three
Binary (base 2)1110101100101011
Octal (base 8)165453
Hexadecimal (base 16)EB2B
Base 310001120202
As time60203 seconds = 16 h 43 min 23 s

Is 60203 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 2)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 5)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 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 2)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.
11Yes (60203 ÷ 11 = 5473)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60203 a prime number?

No. 60203 = 11 × 13 × 421, so it is divisible by 11.

What are the factors of 60203?

1, 11, 13, 143, 421, 4631, 5473, 60203.

What is 60203 in binary?

1110101100101011 (hexadecimal EB2B, octal 165453).

What is the square root of 60203?

About 245.3630.

Is 60203 divisible by 3?

No. Its digits add up to 11, which is not a multiple of 3.

What is special about the number 60203?

60203 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 11.

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