487,683

3² × 7 × 7741

487,683 factors as 3^2 × 7 × 7741. Its 12 positive divisors give a proper-divisor sum of 317,485, so this integer is deficient. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 7741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 805,168

Proper Divisor Sum 317,485

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #487681 ← → #487691

Radix Representation

Decimal	487683
Binary	1110111000100000011 (19 bits)
Octal	0o1670403
Hexadecimal	0x77103

Divisor Catalog (12)

1 3 7 9 21 63 7,741 23,223 54,187 69,669 162,561 487,683

Collatz Trajectory (182 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

487,683 1,463,050 731,525 2,194,576 1,097,288 548,644 274,322 137,161 411,484 205,742 102,871 308,614 154,307 462,922 231,461 694,384 347,192 173,596 86,798 43,399 130,198 65,099 195,298 97,649 292,948 146,474 73,237 219,712 109,856 54,928 27,464 13,732 6,866 3,433 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098

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