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3,901,200

24 × 3 × 52 × 3251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 5^2 × 3251
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,500,688
Proper Divisor Sum 8,599,488
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #3901199 ← → #3901201

Radix Representation

Decimal 3901200
Binary 1110111000011100010000 (22 bits)
Octal 0o16703420
Hexadecimal 0x3B8710

Divisor Catalog (60)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1,200 3,251 6,502 9,753 13,004 16,255 19,506 26,008 32,510 39,012 48,765 52,016 65,020 78,024 81,275 97,530 130,040 156,048 162,550 195,060 243,825 260,080 325,100 390,120 487,650 650,200 780,240 975,300 1,300,400 1,950,600 3,901,200

Collatz Trajectory (185 steps to reach 1)

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

3,901,200 1,950,600 975,300 487,650 243,825 731,476 365,738 182,869 548,608 274,304 137,152 68,576 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138

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