96,006,760

2³ × 5 × 2400169

96,006,760 factors as 2^3 × 5 × 2400169. Its 16 positive divisors give a proper-divisor sum of 120,008,540, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 2400169

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 216,015,300

Proper Divisor Sum 120,008,540

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #96006731 ← → #96006763

Radix Representation

Decimal	96006760
Binary	101101110001111001001101000 (27 bits)
Octal	0o556171150
Hexadecimal	0x5B8F268

Divisor Catalog (16)

1 2 4 5 8 10 20 40 2,400,169 4,800,338 9,600,676 12,000,845 19,201,352 24,001,690 48,003,380 96,006,760

Collatz Trajectory (117 steps to reach 1)

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

96,006,760 48,003,380 24,001,690 12,000,845 36,002,536 18,001,268 9,000,634 4,500,317 13,500,952 6,750,476 3,375,238 1,687,619 5,062,858 2,531,429 7,594,288 3,797,144 1,898,572 949,286 474,643 1,423,930 711,965 2,135,896 1,067,948 533,974 266,987 800,962 400,481 1,201,444 600,722 300,361 901,084 450,542 225,271 675,814 337,907 1,013,722 506,861 1,520,584 760,292 380,146 190,073 570,220 285,110 142,555 427,666 213,833 641,500 320,750 160,375 481,126 240,563 721,690 360,845 1,082,536 541,268 270,634 135,317 405,952 202,976 101,488

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