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The number 72829

72829 is a composite number with 4 divisors. Its prime factorisation is 67 × 1087. Divisors (4): 1, 67, 1087, 72829.

Number

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How to work it out

  1. 1

    What is special about 72829: a semiprime: 67 × 1087, the product of two primes.

  2. 2

    72829 is composite. Its prime factorisation is

    72829=67×108772829 = 67 \times 1087
  3. 3

    The divisors add up to 73984; without 72829 itself that is 1155, so 72829 is deficient (1155 is less than 72829). Euler's totient φ(72829) = 71676 numbers up to 72829 share no factor with it.

  4. 4

    The digits of 72829 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.

LaTeX source of the formulas on this page
\[ 72829 = 67 \times 1087 \]

72829 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors73984
Euler totient φ(n)71676
Square5304063241
Cube386289621778789
Square root269.868486
Digit sum / digital root28 / 1
Collatz steps to 1187
Scientific notation7.2829 × 10410^{4}

72829 in other forms

FormValue
In wordsseventy-two thousand eight hundred and twenty-nine
Binary (base 2)10001110001111101
Octal (base 8)216175
Hexadecimal (base 16)11C7D
Base 310200220101
As time72829 seconds = 20 h 13 min 49 s

Is 72829 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 4)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 1)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 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 9)A number is divisible by 10 if the last digit is 0.
11No (remainder 9)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 72829 a prime number?

No. 72829 = 67 × 1087, so it is divisible by 67.

What are the factors of 72829?

1, 67, 1087, 72829.

What is 72829 in binary?

10001110001111101 (hexadecimal 11C7D, octal 216175).

What is the square root of 72829?

About 269.8685.

Is 72829 divisible by 3?

No. Its digits add up to 28, which is not a multiple of 3.

What is special about the number 72829?

72829 is a semiprime: 67 × 1087, the product of two primes.

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