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The number 81399

81399 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 631. Divisors (8): 1, 3, 43, 129, 631, 1893, 27133, 81399.

Number

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How to work it out

  1. 1

    What is special about 81399: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    81399 is composite. Its prime factorisation is

    81399=3×43×63181399 = 3 \times 43 \times 631
  3. 3

    The divisors add up to 111232; without 81399 itself that is 29833, so 81399 is deficient (29833 is less than 81399). Euler's totient φ(81399) = 52920 numbers up to 81399 share no factor with it.

  4. 4

    The digits of 81399 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 81399 = 3 \times 43 \times 631 \]

81399 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors111232
Euler totient φ(n)52920
Square6625797201
Cube539333266364199
Square root285.305100
Digit sum / digital root30 / 3
Collatz steps to 1125
Scientific notation8.1399 × 10410^{4}

81399 in other forms

FormValue
In wordseighty-one thousand three hundred and ninety-nine
Binary (base 2)10011110111110111
Octal (base 8)236767
Hexadecimal (base 16)13DF7
Base 311010122210
As time81399 seconds = 22 h 36 min 39 s

Is 81399 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 (81399 ÷ 3 = 27133)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)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 3)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 3)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 3)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 3)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 81399 a prime number?

No. 81399 = 3 × 43 × 631, so it is divisible by 3.

What are the factors of 81399?

1, 3, 43, 129, 631, 1893, 27133, 81399.

What is 81399 in binary?

10011110111110111 (hexadecimal 13DF7, octal 236767).

What is the square root of 81399?

About 285.3051.

Is 81399 divisible by 3?

Yes. Its digits add up to 30, a multiple of 3.

What is special about the number 81399?

81399 is a happy number: repeatedly adding the squares of its digits reaches 1.

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