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The number 72746

72746 is a composite number with 4 divisors. Its prime factorisation is 2 × 36373. Divisors (4): 1, 2, 36373, 72746.

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How to work it out

  1. 1

    What is special about 72746: a semiprime: 2 × 36373, the product of two primes.

  2. 2

    72746 is composite. Its prime factorisation is

    72746=2×3637372746 = 2 \times 36373
  3. 3

    The divisors add up to 109122; without 72746 itself that is 36376, so 72746 is deficient (36376 is less than 72746). Euler's totient φ(72746) = 36372 numbers up to 72746 share no factor with it.

  4. 4

    The digits of 72746 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72746 = 2 \times 36373 \]

72746 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors109122
Euler totient φ(n)36372
Square5291980516
Cube384970414616936
Square root269.714664
Digit sum / digital root26 / 8
Collatz steps to 1143
Scientific notation7.2746 × 10410^{4}

72746 in other forms

FormValue
In wordsseventy-two thousand seven hundred and forty-six
Binary (base 2)10001110000101010
Octal (base 8)216052
Hexadecimal (base 16)11C2A
Base 310200210022
As time72746 seconds = 20 h 12 min 26 s

Is 72746 divisible by 2 to 12?

DivisorAnswerRule
2Yes (72746 ÷ 2 = 36373)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 2)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 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 72746 a prime number?

No. 72746 = 2 × 36373, so it is divisible by 2.

What are the factors of 72746?

1, 2, 36373, 72746.

What is 72746 in binary?

10001110000101010 (hexadecimal 11C2A, octal 216052).

What is the square root of 72746?

About 269.7147.

Is 72746 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 72746?

72746 is a semiprime: 2 × 36373, the product of two primes.

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