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The number 60634

60634 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 61 × 71. Divisors (16): 1, 2, 7, 14, 61, 71, 122, 142, 427, 497, 854, 994, 4331, 8662, 30317, 60634.

Number

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How to work it out

  1. 1

    What is special about 60634: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    60634 is composite. Its prime factorisation is

    60634=2×7×61×7160634 = 2 \times 7 \times 61 \times 71
  3. 3

    The divisors add up to 107136; without 60634 itself that is 46502, so 60634 is deficient (46502 is less than 60634). Euler's totient φ(60634) = 25200 numbers up to 60634 share no factor with it.

  4. 4

    The digits of 60634 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60634 = 2 \times 7 \times 61 \times 71 \]

60634 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors107136
Euler totient φ(n)25200
Square3676481956
Cube222919806920104
Square root246.239721
Digit sum / digital root19 / 1
Collatz steps to 1135
Scientific notation6.0634 × 10410^{4}

60634 in other forms

FormValue
In wordssixty thousand six hundred and thirty-four
Binary (base 2)1110110011011010
Octal (base 8)166332
Hexadecimal (base 16)ECDA
Base 310002011201
As time60634 seconds = 16 h 50 min 34 s

Is 60634 divisible by 2 to 12?

DivisorAnswerRule
2Yes (60634 ÷ 2 = 30317)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.
7Yes (60634 ÷ 7 = 8662)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 4)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)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 60634 a prime number?

No. 60634 = 2 × 7 × 61 × 71, so it is divisible by 2.

What are the factors of 60634?

1, 2, 7, 14, 61, 71, 122, 142, 427, 497, 854, 994, 4331, 8662, 30317, 60634.

What is 60634 in binary?

1110110011011010 (hexadecimal ECDA, octal 166332).

What is the square root of 60634?

About 246.2397.

Is 60634 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 60634?

60634 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    60634: is it prime? Factors, square root, binary, Roman numeral | WordGPT