9,008,980

2² × 5 × 17 × 26497

9,008,980 factors as 2^2 × 5 × 17 × 26497. Its 24 positive divisors give a proper-divisor sum of 11,023,508, so this integer is abundant. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 17 × 26497

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 20,032,488

Proper Divisor Sum 11,023,508

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #9008969 ← → #9008981

Radix Representation

Decimal	9008980
Binary	100010010111011101010100 (24 bits)
Octal	0o42273524
Hexadecimal	0x897754

Divisor Catalog (24)

Collatz Trajectory (256 steps to reach 1)

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

9,008,980 4,504,490 2,252,245 6,756,736 3,378,368 1,689,184 844,592 422,296 211,148 105,574 52,787 158,362 79,181 237,544 118,772 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 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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