806,006

2 × 403003

806,006 factors as 2 × 403003. Its 4 positive divisors give a proper-divisor sum of 403,006, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 2 × 403003

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,209,012

Proper Divisor Sum 403,006

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #805991 ← → #806009

Radix Representation

Decimal	806006
Binary	11000100110001110110 (20 bits)
Octal	0o3046166
Hexadecimal	0xC4C76

Divisor Catalog (4)

1 2 403,003 806,006

Collatz Trajectory (69 steps to reach 1)

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

806,006 403,003 1,209,010 604,505 1,813,516 906,758 453,379 1,360,138 680,069 2,040,208 1,020,104 510,052 255,026 127,513 382,540 191,270 95,635 286,906 143,453 430,360 215,180 107,590 53,795 161,386 80,693 242,080 121,040 60,520 30,260 15,130 7,565 22,696 11,348 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26

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