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The number 71468

71468 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 17 × 1051. Divisors (12): 1, 2, 4, 17, 34, 68, 1051, 2102, 4204, 17867, 35734, 71468.

Number

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How to work it out

  1. 1

    71468 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

    71468 is composite. Its prime factorisation is

    71468=22×17×105171468 = 2^{2} \times 17 \times 1051
  3. 3

    The divisors add up to 132552; without 71468 itself that is 61084, so 71468 is deficient (61084 is less than 71468). Euler's totient φ(71468) = 33600 numbers up to 71468 share no factor with it.

  4. 4

    The digits of 71468 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71468 = 2^{2} \times 17 \times 1051 \]

71468 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors132552
Euler totient φ(n)33600
Square5107675024
Cube365035318615232
Square root267.334996 (= 2√17867)
Digit sum / digital root26 / 8
Collatz steps to 1125
Scientific notation7.1468 × 10410^{4}

71468 in other forms

FormValue
In wordsseventy-one thousand four hundred and sixty-eight
Binary (base 2)10001011100101100
Octal (base 8)213454
Hexadecimal (base 16)1172C
Base 310122000222
As time71468 seconds = 19 h 51 min 8 s

Is 71468 divisible by 2 to 12?

DivisorAnswerRule
2Yes (71468 ÷ 2 = 35734)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.
4Yes (71468 ÷ 4 = 17867)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 2)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 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 8)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 8)A number is divisible by 10 if the last digit is 0.
11No (remainder 1)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 8)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71468 a prime number?

No. 71468 = 222^{2} × 17 × 1051, so it is divisible by 2.

What are the factors of 71468?

1, 2, 4, 17, 34, 68, 1051, 2102, 4204, 17867, 35734, 71468.

What is 71468 in binary?

10001011100101100 (hexadecimal 1172C, octal 213454).

What is the square root of 71468?

About 267.3350, exactly 2√17867.

Is 71468 divisible by 3?

No. Its digits add up to 26, which is not a multiple of 3.

What is special about the number 71468?

It is a composite number with 12 divisors.

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