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Atlas › Integer Profiles › Node 5,000,000

5,000,000

26 × 57
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^7
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 12,402,312
Proper Divisor Sum 7,402,312
Digit Sum / Digital Root 5 (Root: 5)
Adjacent Primes #4999999 ← → #5000011

Radix Representation

Decimal 5000000
Binary 10011000100101101000000 (23 bits)
Octal 0o23045500
Hexadecimal 0x4C4B40

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1,000 1,250 1,600 2,000 2,500 3,125 4,000 5,000 6,250 8,000 10,000 12,500 15,625 20,000 25,000 31,250 40,000 50,000 62,500 78,125 100,000 125,000 156,250 200,000 250,000 312,500 500,000 625,000 1,000,000 1,250,000 2,500,000 5,000,000

Collatz Trajectory (144 steps to reach 1)

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

5,000,000 2,500,000 1,250,000 625,000 312,500 156,250 78,125 234,376 117,188 58,594 29,297 87,892 43,946 21,973 65,920 32,960 16,480 8,240 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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