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The number 60202

60202 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 971. Divisors (8): 1, 2, 31, 62, 971, 1942, 30101, 60202.

Number

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How to work it out

  1. 1

    What is special about 60202: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    60202 is composite. Its prime factorisation is

    60202=2×31×97160202 = 2 \times 31 \times 971
  3. 3

    The divisors add up to 93312; without 60202 itself that is 33110, so 60202 is deficient (33110 is less than 60202). Euler's totient φ(60202) = 29100 numbers up to 60202 share no factor with it.

  4. 4

    The digits of 60202 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60202 = 2 \times 31 \times 971 \]

60202 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors93312
Euler totient φ(n)29100
Square3624280804
Cube218188952962408
Square root245.360959
Digit sum / digital root10 / 1
Collatz steps to 142
Scientific notation6.0202 × 10410^{4}

60202 in other forms

FormValue
In wordssixty thousand two hundred and two
Binary (base 2)1110101100101010
Octal (base 8)165452
Hexadecimal (base 16)EB2A
Base 310001120201
As time60202 seconds = 16 h 43 min 22 s

Is 60202 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60202 ÷ 2 = 30101)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 2)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 2)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 2)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 2)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 10)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60202 a prime number?

No. 60202 = 2 × 31 × 971, so it is divisible by 2.

What are the factors of 60202?

1, 2, 31, 62, 971, 1942, 30101, 60202.

What is 60202 in binary?

1110101100101010 (hexadecimal EB2A, octal 165452).

What is the square root of 60202?

About 245.3610.

Is 60202 divisible by 3?

No. Its digits add up to 10, which is not a multiple of 3.

What is special about the number 60202?

60202 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    60202: is it prime? Factors, square root, binary, Roman numeral | WordGPT