λ
Integer Codex

676,811

587 × 1153
Deficient Odd Composite

For 676,811, the 4 positive divisors have a total of 678,552. Removing 676,811 leaves 1,741, which gives the deficient classification.

Prime Factor Structure

Factorization String 587 × 1153
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 678,552
Proper Divisor Sum 1,741
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #676807 ← → #676829

Radix Representation

Decimal 676811
Binary 10100101001111001011 (20 bits)
Octal 0o2451713
Hexadecimal 0xA53CB

Divisor Catalog (4)

1 587 1,153 676,811

Collatz Trajectory (84 steps to reach 1)

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

676,811 2,030,434 1,015,217 3,045,652 1,522,826 761,413 2,284,240 1,142,120 571,060 285,530 142,765 428,296 214,148 107,074 53,537 160,612 80,306 40,153 120,460 60,230 30,115 90,346 45,173 135,520 67,760 33,880 16,940 8,470 4,235 12,706 6,353 19,060 9,530 4,765 14,296 7,148 3,574 1,787 5,362 2,681 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300

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