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The number 60073

60073 is a composite number with 4 divisors. Its prime factorisation is 13 × 4621. Divisors (4): 1, 13, 4621, 60073.

Number

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How to work it out

  1. 1

    What is special about 60073: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 4621, the product of two primes.

  2. 2

    60073 is composite. Its prime factorisation is

    60073=13×462160073 = 13 \times 4621
  3. 3

    The divisors add up to 64708; without 60073 itself that is 4635, so 60073 is deficient (4635 is less than 60073). Euler's totient φ(60073) = 55440 numbers up to 60073 share no factor with it.

  4. 4

    The digits of 60073 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 285 steps to reach 1.

LaTeX source of the formulas on this page
\[ 60073 = 13 \times 4621 \]

60073 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors64708
Euler totient φ(n)55440
Square3608765329
Cube216789359609017
Square root245.097940
Digit sum / digital root16 / 7
Collatz steps to 1285
Scientific notation6.0073 × 10410^{4}

60073 in other forms

FormValue
In wordssixty thousand and seventy-three
Binary (base 2)1110101010101001
Octal (base 8)165251
Hexadecimal (base 16)EAA9
Base 310001101221
As time60073 seconds = 16 h 41 min 13 s

Is 60073 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.
7No (remainder 6)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 1)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 2)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 60073 a prime number?

No. 60073 = 13 × 4621, so it is divisible by 13.

What are the factors of 60073?

1, 13, 4621, 60073.

What is 60073 in binary?

1110101010101001 (hexadecimal EAA9, octal 165251).

What is the square root of 60073?

About 245.0979.

Is 60073 divisible by 3?

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

What is special about the number 60073?

60073 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 4621, the product of two primes.

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