λ
Integer Codex

800,678

2 × 400339
Deficient Even Composite

For 800,678, the 4 positive divisors have a total of 1,201,020. Removing 800,678 leaves 400,342, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 400339
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,201,020
Proper Divisor Sum 400,342
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #800677 ← → #800687

Radix Representation

Decimal 800678
Binary 11000011011110100110 (20 bits)
Octal 0o3033646
Hexadecimal 0xC37A6

Divisor Catalog (4)

1 2 400,339 800,678

Collatz Trajectory (92 steps to reach 1)

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

800,678 400,339 1,201,018 600,509 1,801,528 900,764 450,382 225,191 675,574 337,787 1,013,362 506,681 1,520,044 760,022 380,011 1,140,034 570,017 1,710,052 855,026 427,513 1,282,540 641,270 320,635 961,906 480,953 1,442,860 721,430 360,715 1,082,146 541,073 1,623,220 811,610 405,805 1,217,416 608,708 304,354 152,177 456,532 228,266 114,133 342,400 171,200 85,600 42,800 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847

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