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10,242,500

22 × 54 × 17 × 241
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^4 × 17 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 23,814,252
Proper Divisor Sum 13,571,752
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #10242499 ← → #10242527

Radix Representation

Decimal 10242500
Binary 100111000100100111000100 (24 bits)
Octal 0o47044704
Hexadecimal 0x9C49C4

Divisor Catalog (60)

1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 241 250 340 425 482 500 625 850 964 1,205 1,250 1,700 2,125 2,410 2,500 4,097 4,250 4,820 6,025 8,194 8,500 10,625 12,050 16,388 20,485 21,250 24,100 30,125 40,970 42,500 60,250 81,940 102,425 120,500 150,625 204,850 301,250 409,700 512,125 602,500 1,024,250 2,048,500 2,560,625 5,121,250 10,242,500

Collatz Trajectory (101 steps to reach 1)

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

10,242,500 5,121,250 2,560,625 7,681,876 3,840,938 1,920,469 5,761,408 2,880,704 1,440,352 720,176 360,088 180,044 90,022 45,011 135,034 67,517 202,552 101,276 50,638 25,319 75,958 37,979 113,938 56,969 170,908 85,454 42,727 128,182 64,091 192,274 96,137 288,412 144,206 72,103 216,310 108,155 324,466 162,233 486,700 243,350 121,675 365,026 182,513 547,540 273,770 136,885 410,656 205,328 102,664 51,332 25,666 12,833 38,500 19,250 9,625 28,876 14,438 7,219 21,658 10,829

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