λ
Integer Codex

8,108,469

32 × 103 × 8747
Deficient Odd Composite

For 8,108,469, the 12 positive divisors have a total of 11,827,296. Removing 8,108,469 leaves 3,718,827, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 103 × 8747
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,827,296
Proper Divisor Sum 3,718,827
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8108423 ← → #8108479

Radix Representation

Decimal 8108469
Binary 11110111011100110110101 (23 bits)
Octal 0o36734665
Hexadecimal 0x7BB9B5

Divisor Catalog (12)

1 3 9 103 309 927 8,747 26,241 78,723 900,941 2,702,823 8,108,469

Collatz Trajectory (111 steps to reach 1)

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

8,108,469 24,325,408 12,162,704 6,081,352 3,040,676 1,520,338 760,169 2,280,508 1,140,254 570,127 1,710,382 855,191 2,565,574 1,282,787 3,848,362 1,924,181 5,772,544 2,886,272 1,443,136 721,568 360,784 180,392 90,196 45,098 22,549 67,648 33,824 16,912 8,456 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438

More profiles

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