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The number 80613

80613 is a composite number with 18 divisors. Its prime factorisation is 323^{2} × 13213^{2} × 53. Divisors (18): 1, 3, 9, 13, 39, 53, 117, 159, 169, 477, 507, 689, 1521, 2067, 6201, 8957 … 80613.

Number

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How to work it out

  1. 1

    80613 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    80613 is composite. Its prime factorisation is

    80613=32×132×5380613 = 3^{2} \times 13^{2} \times 53
  3. 3

    The divisors add up to 128466; without 80613 itself that is 47853, so 80613 is deficient (47853 is less than 80613). Euler's totient φ(80613) = 48672 numbers up to 80613 share no factor with it.

  4. 4

    The digits of 80613 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.

LaTeX source of the formulas on this page
\[ 80613 = 3^{2} \times 13^{2} \times 53 \]

80613 at a glance

PropertyValue
Typecomposite
Number of divisors18
Sum of divisors128466
Euler totient φ(n)48672
Square6498455769
Cube523860014906397
Square root283.924286 (= 39√53)
Digit sum / digital root18 / 9
Collatz steps to 194
Scientific notation8.0613 × 10410^{4}

80613 in other forms

FormValue
In wordseighty thousand six hundred and thirteen
Binary (base 2)10011101011100101
Octal (base 8)235345
Hexadecimal (base 16)13AE5
Base 311002120200
As time80613 seconds = 22 h 23 min 33 s

Is 80613 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).
3Yes (80613 ÷ 3 = 26871)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 3)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.
9Yes (80613 ÷ 9 = 8957)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 5)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 9)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 80613 a prime number?

No. 80613 = 323^{2} × 13213^{2} × 53, so it is divisible by 3.

What are the factors of 80613?

1, 3, 9, 13, 39, 53, 117, 159, 169, 477, 507, 689, 1521, 2067, 6201, 8957, 26871, 80613.

What is 80613 in binary?

10011101011100101 (hexadecimal 13AE5, octal 235345).

What is the square root of 80613?

About 283.9243, exactly 39√53.

Is 80613 divisible by 3?

Yes. Its digits add up to 18, a multiple of 3.

What is special about the number 80613?

It is a composite number with 18 divisors.

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