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The number 71013

71013 is a composite number with 4 divisors. Its prime factorisation is 3 × 23671. Divisors (4): 1, 3, 23671, 71013.

Number

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How to work it out

  1. 1

    What is special about 71013: a semiprime: 3 × 23671, the product of two primes.

  2. 2

    71013 is composite. Its prime factorisation is

    71013=3×2367171013 = 3 \times 23671
  3. 3

    The divisors add up to 94688; without 71013 itself that is 23675, so 71013 is deficient (23675 is less than 71013). Euler's totient φ(71013) = 47340 numbers up to 71013 share no factor with it.

  4. 4

    The digits of 71013 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71013 = 3 \times 23671 \]

71013 at a glance

PropertyValue
Typecomposite
Number of divisors4
Sum of divisors94688
Euler totient φ(n)47340
Square5042846169
Cube358107634999197
Square root266.482645
Digit sum / digital root12 / 3
Collatz steps to 1174
Scientific notation7.1013 × 10410^{4}

71013 in other forms

FormValue
In wordsseventy-one thousand and thirteen
Binary (base 2)10001010101100101
Octal (base 8)212545
Hexadecimal (base 16)11565
Base 310121102010
As time71013 seconds = 19 h 43 min 33 s

Is 71013 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 (71013 ÷ 3 = 23671)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 5)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 3)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 8)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 71013 a prime number?

No. 71013 = 3 × 23671, so it is divisible by 3.

What are the factors of 71013?

1, 3, 23671, 71013.

What is 71013 in binary?

10001010101100101 (hexadecimal 11565, octal 212545).

What is the square root of 71013?

About 266.4826.

Is 71013 divisible by 3?

Yes. Its digits add up to 12, a multiple of 3.

What is special about the number 71013?

71013 is a semiprime: 3 × 23671, the product of two primes.

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