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The number 60613

60613 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 1237. Divisors (6): 1, 7, 49, 1237, 8659, 60613.

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How to work it out

  1. 1

    What is special about 60613: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    60613 is composite. Its prime factorisation is

    60613=72Ɨ123760613 = 7^{2} \times 1237
  3. 3

    The divisors add up to 70566; without 60613 itself that is 9953, so 60613 is deficient (9953 is less than 60613). Euler's totient φ(60613) = 51912 numbers up to 60613 share no factor with it.

  4. 4

    The digits of 60613 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60613 = 7^{2} \times 1237 \]

60613 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors70566
Euler totient φ(n)51912
Square3673935769
Cube222688268766397
Square root246.197076 (= 7√1237)
Digit sum / digital root16 / 7
Collatz steps to 186
Scientific notation6.0613 Ɨ 10410^{4}

60613 in other forms

FormValue
In wordssixty thousand six hundred and thirteen
Binary (base 2)1110110011000101
Octal (base 8)166305
Hexadecimal (base 16)ECC5
Base 310002010221
As time60613 seconds = 16 h 50 min 13 s

Is 60613 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 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 1)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 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (60613 Ć· 7 = 8659)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 5)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)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.
11No (remainder 3)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 1)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 60613 a prime number?

No. 60613 = 727^{2} Ɨ 1237, so it is divisible by 7.

What are the factors of 60613?

1, 7, 49, 1237, 8659, 60613.

What is 60613 in binary?

1110110011000101 (hexadecimal ECC5, octal 166305).

What is the square root of 60613?

About 246.1971, exactly 7√1237.

Is 60613 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 60613?

60613 is a happy number: repeatedly adding the squares of its digits reaches 1.

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