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5,085,800

23 × 52 × 59 × 431
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5^2 × 59 × 431
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,052,800
Proper Divisor Sum 6,967,000
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5085797 ← → #5085803

Radix Representation

Decimal 5085800
Binary 10011011001101001101000 (23 bits)
Octal 0o23315150
Hexadecimal 0x4D9A68

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 59 100 118 200 236 295 431 472 590 862 1,180 1,475 1,724 2,155 2,360 2,950 3,448 4,310 5,900 8,620 10,775 11,800 17,240 21,550 25,429 43,100 50,858 86,200 101,716 127,145 203,432 254,290 508,580 635,725 1,017,160 1,271,450 2,542,900 5,085,800

Collatz Trajectory (82 steps to reach 1)

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

5,085,800 2,542,900 1,271,450 635,725 1,907,176 953,588 476,794 238,397 715,192 357,596 178,798 89,399 268,198 134,099 402,298 201,149 603,448 301,724 150,862 75,431 226,294 113,147 339,442 169,721 509,164 254,582 127,291 381,874 190,937 572,812 286,406 143,203 429,610 214,805 644,416 322,208 161,104 80,552 40,276 20,138 10,069 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152

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