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The number 60034

60034 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 2309. Divisors (8): 1, 2, 13, 26, 2309, 4618, 30017, 60034.

Number

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How to work it out

  1. 1

    What is special about 60034: a Harshad number: divisible by its digit sum 13.

  2. 2

    60034 is composite. Its prime factorisation is

    60034=2×13×230960034 = 2 \times 13 \times 2309
  3. 3

    The divisors add up to 97020; without 60034 itself that is 36986, so 60034 is deficient (36986 is less than 60034). Euler's totient φ(60034) = 27696 numbers up to 60034 share no factor with it.

  4. 4

    The digits of 60034 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 179 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60034 = 2 \times 13 \times 2309 \]

60034 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors97020
Euler totient φ(n)27696
Square3604081156
Cube216367408119304
Square root245.018367
Digit sum / digital root13 / 4
Collatz steps to 1179
Scientific notation6.0034 × 10410^{4}

60034 in other forms

FormValue
In wordssixty thousand and thirty-four
Binary (base 2)1110101010000010
Octal (base 8)165202
Hexadecimal (base 16)EA82
Base 310001100111
As time60034 seconds = 16 h 40 min 34 s

Is 60034 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60034 ÷ 2 = 30017)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 4)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 4)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 7)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 60034 a prime number?

No. 60034 = 2 × 13 × 2309, so it is divisible by 2.

What are the factors of 60034?

1, 2, 13, 26, 2309, 4618, 30017, 60034.

What is 60034 in binary?

1110101010000010 (hexadecimal EA82, octal 165202).

What is the square root of 60034?

About 245.0184.

Is 60034 divisible by 3?

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

What is special about the number 60034?

60034 is a Harshad number: divisible by its digit sum 13.

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    60034: is it prime? Factors, square root, binary, Roman numeral | WordGPT