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The number 40062

40062 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 11 × 607. Divisors (16): 1, 2, 3, 6, 11, 22, 33, 66, 607, 1214, 1821, 3642, 6677, 13354, 20031, 40062.

Number

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How to work it out

  1. 1

    40062 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

    40062 is composite. Its prime factorisation is

    40062=2×3×11×60740062 = 2 \times 3 \times 11 \times 607
  3. 3

    The divisors add up to 87552; without 40062 itself that is 47490, so 40062 is abundant (47490 is more than 40062). Euler's totient φ(40062) = 12120 numbers up to 40062 share no factor with it.

  4. 4

    The digits of 40062 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 67 steps to reach 1.

LaTeX source of the formulas on this page
\[ 40062 = 2 \times 3 \times 11 \times 607 \]

40062 at a glance

PropertyValue
Typecomposite
Number of divisors16
Sum of divisors87552
Euler totient φ(n)12120
Square1604963844
Cube64298061518328
Square root200.154940
Digit sum / digital root12 / 3
Collatz steps to 167
Scientific notation4.0062 × 10410^{4}

40062 in other forms

FormValue
In wordsforty thousand and sixty-two
Binary (base 2)1001110001111110
Octal (base 8)116176
Hexadecimal (base 16)9C7E
Base 32000221210
As time40062 seconds = 11 h 7 min 42 s

Is 40062 divisible by 2 to 12?

DivisorAnswerRule
2Yes (40062 ÷ 2 = 20031)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (40062 ÷ 3 = 13354)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.
6Yes (40062 ÷ 6 = 6677)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 1)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 6)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 2)A number is divisible by 10 if the last digit is 0.
11Yes (40062 ÷ 11 = 3642)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 6)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 40062 a prime number?

No. 40062 = 2 × 3 × 11 × 607, so it is divisible by 2.

What are the factors of 40062?

1, 2, 3, 6, 11, 22, 33, 66, 607, 1214, 1821, 3642, 6677, 13354, 20031, 40062.

What is 40062 in binary?

1001110001111110 (hexadecimal 9C7E, octal 116176).

What is the square root of 40062?

About 200.1549.

Is 40062 divisible by 3?

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

What is special about the number 40062?

It is a composite number with 16 divisors.

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    40062: is it prime? Factors, square root, binary, Roman numeral | WordGPT