WordGPT

The number 62742

62742 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 10457. Divisors (8): 1, 2, 3, 6, 10457, 20914, 31371, 62742.

Number

Pick any whole number from 1 to 100,000.

How to work it out

  1. 1

    What is special about 62742: a happy number: repeatedly adding the squares of its digits reaches 1.

  2. 2

    62742 is composite. Its prime factorisation is

    62742=2×3×1045762742 = 2 \times 3 \times 10457
  3. 3

    The divisors add up to 125496; without 62742 itself that is 62754, so 62742 is abundant (62754 is more than 62742). Euler's totient φ(62742) = 20912 numbers up to 62742 share no factor with it.

  4. 4

    The digits of 62742 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.

LaTeX source of the formulas on this page
\[ 62742 = 2 \times 3 \times 10457 \]

62742 at a glance

PropertyValue
Typecomposite
Number of divisors8
Sum of divisors125496
Euler totient φ(n)20912
Square3936558564
Cube246987557422488
Square root250.483532
Digit sum / digital root21 / 3
Collatz steps to 155
Scientific notation6.2742 × 10410^{4}

62742 in other forms

FormValue
In wordssixty-two thousand seven hundred and forty-two
Binary (base 2)1111010100010110
Octal (base 8)172426
Hexadecimal (base 16)F516
Base 310012001210
As time62742 seconds = 17 h 25 min 42 s

Is 62742 divisible by 2 to 12?

DivisorAnswerRule
2Yes (62742 ÷ 2 = 31371)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3Yes (62742 ÷ 3 = 20914)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 (62742 ÷ 6 = 10457)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.
11No (remainder 9)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 62742 a prime number?

No. 62742 = 2 × 3 × 10457, so it is divisible by 2.

What are the factors of 62742?

1, 2, 3, 6, 10457, 20914, 31371, 62742.

What is 62742 in binary?

1111010100010110 (hexadecimal F516, octal 172426).

What is the square root of 62742?

About 250.4835.

Is 62742 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 62742?

62742 is a happy number: repeatedly adding the squares of its digits reaches 1.

Find the next one

Nearby numbers

    62742: is it prime? Factors, square root, binary, Roman numeral | WordGPT