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The number 60035

60035 is a composite number with 4 divisors. Its prime factorisation is 5 × 12007. Divisors (4): 1, 5, 12007, 60035.

Number

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How to work it out

  1. 1

    What is special about 60035: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 12007, the product of two primes.

  2. 2

    60035 is composite. Its prime factorisation is

    60035=5×1200760035 = 5 \times 12007
  3. 3

    The divisors add up to 72048; without 60035 itself that is 12013, so 60035 is deficient (12013 is less than 60035). Euler's totient φ(60035) = 48024 numbers up to 60035 share no factor with it.

  4. 4

    The digits of 60035 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60035 = 5 \times 12007 \]

60035 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors72048
Euler totient φ(n)48024
Square3604201225
Cube216378220542875
Square root245.020407
Digit sum / digital root14 / 5
Collatz steps to 1179
Scientific notation6.0035 × 10410^{4}

60035 in other forms

FormValue
In wordssixty thousand and thirty-five
Binary (base 2)1110101010000011
Octal (base 8)165203
Hexadecimal (base 16)EA83
Base 310001100112
As time60035 seconds = 16 h 40 min 35 s

Is 60035 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.
5Yes (60035 ÷ 5 = 12007)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 5)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 5)A number is divisible by 10 if the last digit is 0.
11No (remainder 8)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 60035 a prime number?

No. 60035 = 5 × 12007, so it is divisible by 5.

What are the factors of 60035?

1, 5, 12007, 60035.

What is 60035 in binary?

1110101010000011 (hexadecimal EA83, octal 165203).

What is the square root of 60035?

About 245.0204.

Is 60035 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 60035?

60035 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 5 × 12007, the product of two primes.

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    60035: is it prime? Factors, square root, binary, Roman numeral | WordGPT