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The number 78143

78143 is a composite number with 4 divisors. Its prime factorisation is 13 × 6011. Divisors (4): 1, 13, 6011, 78143.

Number

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How to work it out

  1. 1

    What is special about 78143: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 6011, the product of two primes.

  2. 2

    78143 is composite. Its prime factorisation is

    78143=13×601178143 = 13 \times 6011
  3. 3

    The divisors add up to 84168; without 78143 itself that is 6025, so 78143 is deficient (6025 is less than 78143). Euler's totient φ(78143) = 72120 numbers up to 78143 share no factor with it.

  4. 4

    The digits of 78143 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.

LaTeX source of the formulas on this page
\[ 78143 = 13 \times 6011 \]

78143 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors84168
Euler totient φ(n)72120
Square6106328449
Cube477166823990207
Square root279.540695
Digit sum / digital root23 / 5
Collatz steps to 1169
Scientific notation7.8143 × 10410^{4}

78143 in other forms

FormValue
In wordsseventy-eight thousand one hundred and forty-three
Binary (base 2)10011000100111111
Octal (base 8)230477
Hexadecimal (base 16)1313F
Base 310222012012
As time78143 seconds = 21 h 42 min 23 s

Is 78143 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 2)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 3)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 5)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 7)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 5)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 10)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 11)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 78143 a prime number?

No. 78143 = 13 × 6011, so it is divisible by 13.

What are the factors of 78143?

1, 13, 6011, 78143.

What is 78143 in binary?

10011000100111111 (hexadecimal 1313F, octal 230477).

What is the square root of 78143?

About 279.5407.

Is 78143 divisible by 3?

No. Its digits add up to 23, which is not a multiple of 3.

What is special about the number 78143?

78143 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 6011, the product of two primes.

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