9,009,250

2 × 5³ × 36037

For 9,009,250, the 16 positive divisors have a total of 16,865,784. Removing 9,009,250 leaves 7,856,534, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 5^3 × 36037

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,865,784

Proper Divisor Sum 7,856,534

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #9009229 ← → #9009277

Radix Representation

Decimal	9009250
Binary	100010010111100001100010 (24 bits)
Octal	0o42274142
Hexadecimal	0x897862

Divisor Catalog (16)

1 2 5 10 25 50 125 250 36,037 72,074 180,185 360,370 900,925 1,801,850 4,504,625 9,009,250

Collatz Trajectory (256 steps to reach 1)

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

9,009,250 4,504,625 13,513,876 6,756,938 3,378,469 10,135,408 5,067,704 2,533,852 1,266,926 633,463 1,900,390 950,195 2,850,586 1,425,293 4,275,880 2,137,940 1,068,970 534,485 1,603,456 801,728 400,864 200,432 100,216 50,108 25,054 12,527 37,582 18,791 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148

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