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3,930,800

24 × 52 × 31 × 317
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^2 × 31 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 9,779,136
Proper Divisor Sum 5,848,336
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3930799 ← → #3930811

Radix Representation

Decimal 3930800
Binary 1110111111101010110000 (22 bits)
Octal 0o16775260
Hexadecimal 0x3BFAB0

Divisor Catalog (60)

1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 317 400 496 620 634 775 1,240 1,268 1,550 1,585 2,480 2,536 3,100 3,170 5,072 6,200 6,340 7,925 9,827 12,400 12,680 15,850 19,654 25,360 31,700 39,308 49,135 63,400 78,616 98,270 126,800 157,232 196,540 245,675 393,080 491,350 786,160 982,700 1,965,400 3,930,800

Collatz Trajectory (185 steps to reach 1)

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

3,930,800 1,965,400 982,700 491,350 245,675 737,026 368,513 1,105,540 552,770 276,385 829,156 414,578 207,289 621,868 310,934 155,467 466,402 233,201 699,604 349,802 174,901 524,704 262,352 131,176 65,588 32,794 16,397 49,192 24,596 12,298 6,149 18,448 9,224 4,612 2,306 1,153 3,460 1,730 865 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695

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