16,002,168

2³ × 3 × 7 × 13 × 17 × 431

16,002,168 factors as 2^3 × 3 × 7 × 13 × 17 × 431. Its 128 positive divisors give a proper-divisor sum of 36,252,552, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 13 × 17 × 431

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 52,254,720

Proper Divisor Sum 36,252,552

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #16002163 ← → #16002179

Radix Representation

Decimal	16002168
Binary	111101000010110001111000 (24 bits)
Octal	0o75026170
Hexadecimal	0xF42C78

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 431 442 476 546 663 714 728 862 884 952 1,092 1,293 1,326 1,428 1,547 1,724 1,768 2,184 2,586 2,652

Collatz Trajectory (125 steps to reach 1)

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

16,002,168 8,001,084 4,000,542 2,000,271 6,000,814 3,000,407 9,001,222 4,500,611 13,501,834 6,750,917 20,252,752 10,126,376 5,063,188 2,531,594 1,265,797 3,797,392 1,898,696 949,348 474,674 237,337 712,012 356,006 178,003 534,010 267,005 801,016 400,508 200,254 100,127 300,382 150,191 450,574 225,287 675,862 337,931 1,013,794 506,897 1,520,692 760,346 380,173 1,140,520 570,260 285,130 142,565 427,696 213,848 106,924 53,462 26,731 80,194 40,097 120,292 60,146 30,073 90,220 45,110 22,555 67,666 33,833 101,500

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