62 (number)

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61 62 63
Cardinal sixty-two
Ordinal 62nd
(sixty-second)
Factorization 2 × 31
Divisors 1, 2, 31, 62
Greek numeral ΞΒ´
Roman numeral LXII, lxii
Binary 1111102
Ternary 20223
Senary 1426
Octal 768
Duodecimal 5212
Hexadecimal 3E16

62 (sixty-two) is the natural number following 61 and preceding 63.

Contents

In mathematics

62 as the sum of three distinct positive squares. Square-sum-62.png
62 as the sum of three distinct positive squares.

62 is:

Square root of 62

As a consequence of the mathematical coincidence that 106 − 2 = 999,998 = 62 × 1272, the decimal representation of the square root of 62 has a curiosity in its digits: [5]

= 7.874 007874 011811 019685 034448 812007 …

For the first 22 significant figures, each six-digit block is 7,874 or a half-integer multiple of it.

7,874 × 1.5 = 11,811

7,874 × 2.5 = 19,685

The pattern follows from the following polynomial series:

Plugging in x = 10−6 yields , and = .

References

  1. "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
  2. "A024804: Numbers that are the sum of 3 distinct nonzero squares in 2 or more ways". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-03-25.
  3. John D. Cook (5 February 2010). "Carnival of Mathematics #62".
  4. "On the Number 62". www.wisdomportal.com. Retrieved 2021-01-21.
  5. Robert Munafo. "Notable Properties of Specific Numbers: 62".