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9,764,868

22 × 3 × 17 × 151 × 317
Abundant Even Composite

9,764,868 factors as 2^2 × 3 × 17 × 151 × 317. Its 48 positive divisors give a proper-divisor sum of 14,596,476, so this integer is abundant. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 151 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 24,361,344
Proper Divisor Sum 14,596,476
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #9764863 ← → #9764873

Radix Representation

Decimal 9764868
Binary 100101010000000000000100 (24 bits)
Octal 0o45200004
Hexadecimal 0x950004

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 102 151 204 302 317 453 604 634 906 951 1,268 1,812 1,902 2,567 3,804 5,134 5,389 7,701 10,268 10,778 15,402 16,167 21,556 30,804 32,334 47,867 64,668 95,734 143,601 191,468 287,202 574,404 813,739 1,627,478 2,441,217 3,254,956 4,882,434 9,764,868

Collatz Trajectory (114 steps to reach 1)

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

9,764,868 4,882,434 2,441,217 7,323,652 3,661,826 1,830,913 5,492,740 2,746,370 1,373,185 4,119,556 2,059,778 1,029,889 3,089,668 1,544,834 772,417 2,317,252 1,158,626 579,313 1,737,940 868,970 434,485 1,303,456 651,728 325,864 162,932 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334 9,667 29,002 14,501 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327

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