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4,792,000

26 × 53 × 599
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^3 × 599
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 11,887,200
Proper Divisor Sum 7,095,200
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #4791973 ← → #4792001

Radix Representation

Decimal 4792000
Binary 10010010001111011000000 (23 bits)
Octal 0o22217300
Hexadecimal 0x491EC0

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 599 800 1,000 1,198 1,600 2,000 2,396 2,995 4,000 4,792 5,990 8,000 9,584 11,980 14,975 19,168 23,960 29,950 38,336 47,920 59,900 74,875 95,840 119,800 149,750 191,680 239,600 299,500 479,200 599,000 958,400 1,198,000 2,396,000 4,792,000

Collatz Trajectory (92 steps to reach 1)

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

4,792,000 2,396,000 1,198,000 599,000 299,500 149,750 74,875 224,626 112,313 336,940 168,470 84,235 252,706 126,353 379,060 189,530 94,765 284,296 142,148 71,074 35,537 106,612 53,306 26,653 79,960 39,980 19,990 9,995 29,986 14,993 44,980 22,490 11,245 33,736 16,868 8,434 4,217 12,652 6,326 3,163 9,490 4,745 14,236 7,118 3,559 10,678 5,339 16,018 8,009 24,028 12,014 6,007 18,022 9,011 27,034 13,517 40,552 20,276 10,138 5,069

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