5,000,800

2⁵ × 5² × 7 × 19 × 47

Prime Factor Structure

Factorization String 2^5 × 5^2 × 7 × 19 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 14,999,040

Proper Divisor Sum 9,998,240

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #5000797 ← → #5000851

Radix Representation

Decimal	5000800
Binary	10011000100111001100000 (23 bits)
Octal	0o23047140
Hexadecimal	0x4C4E60

Divisor Catalog (60 of 144)

1 2 4 5 7 8 10 14 16 19 20 25 28 32 35 38 40 47 50 56 70 76 80 94 95 100 112 133 140 152 160 175 188 190 200 224 235 266 280 304 329 350 376 380 400 470 475 532 560 608 658 665 700 752 760 800 893 940 950 1,064

Collatz Trajectory (113 steps to reach 1)

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

5,000,800 2,500,400 1,250,200 625,100 312,550 156,275 468,826 234,413 703,240 351,620 175,810 87,905 263,716 131,858 65,929 197,788 98,894 49,447 148,342 74,171 222,514 111,257 333,772 166,886 83,443 250,330 125,165 375,496 187,748 93,874 46,937 140,812 70,406 35,203 105,610 52,805 158,416 79,208 39,604 19,802 9,901 29,704 14,852 7,426 3,713 11,140 5,570 2,785 8,356 4,178 2,089 6,268 3,134 1,567 4,702 2,351 7,054 3,527 10,582 5,291

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