λ
Math Directory

579,662

2 × 109 × 2659
Deficient Even Composite

579,662 factors as 2 × 109 × 2659. Its 8 positive divisors give a proper-divisor sum of 298,138, so this integer is deficient. The Collatz stopping time is 45 steps.

Prime Factor Structure

Factorization String 2 × 109 × 2659
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 877,800
Proper Divisor Sum 298,138
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #579653 ← → #579673

Radix Representation

Decimal 579662
Binary 10001101100001001110 (20 bits)
Octal 0o2154116
Hexadecimal 0x8D84E

Divisor Catalog (8)

1 2 109 218 2,659 5,318 289,831 579,662

Collatz Trajectory (45 steps to reach 1)

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

579,662 289,831 869,494 434,747 1,304,242 652,121 1,956,364 978,182 489,091 1,467,274 733,637 2,200,912 1,100,456 550,228 275,114 137,557 412,672 206,336 103,168 51,584 25,792 12,896 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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