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The number 71402

71402 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 1879. Divisors (8): 1, 2, 19, 38, 1879, 3758, 35701, 71402.

Number

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How to work it out

  1. 1

    What is special about 71402: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    71402 is composite. Its prime factorisation is

    71402=2×19×187971402 = 2 \times 19 \times 1879
  3. 3

    The divisors add up to 112800; without 71402 itself that is 41398, so 71402 is deficient (41398 is less than 71402). Euler's totient φ(71402) = 33804 numbers up to 71402 share no factor with it.

  4. 4

    The digits of 71402 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.

LaTeX source of the formulas on this page
\[ 71402 = 2 \times 19 \times 1879 \]

71402 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors112800
Euler totient φ(n)33804
Square5098245604
Cube364024932616808
Square root267.211527
Digit sum / digital root14 / 5
Collatz steps to 199
Scientific notation7.1402 × 10410^{4}

71402 in other forms

FormValue
In wordsseventy-one thousand four hundred and two
Binary (base 2)10001011011101010
Octal (base 8)213352
Hexadecimal (base 16)116EA
Base 310121221112
As time71402 seconds = 19 h 50 min 2 s

Is 71402 divisible by 2 to 12?

DivisorAnswerRule
2Yes (71402 ÷ 2 = 35701)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 2)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 2)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 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 2)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 2)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 2)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 71402 a prime number?

No. 71402 = 2 × 19 × 1879, so it is divisible by 2.

What are the factors of 71402?

1, 2, 19, 38, 1879, 3758, 35701, 71402.

What is 71402 in binary?

10001011011101010 (hexadecimal 116EA, octal 213352).

What is the square root of 71402?

About 267.2115.

Is 71402 divisible by 3?

No. Its digits add up to 14, which is not a multiple of 3.

What is special about the number 71402?

71402 is a happy number: repeatedly adding the squares of its digits reaches 1.

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    71402: is it prime? Factors, square root, binary, Roman numeral | WordGPT