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26,162,000

24 × 53 × 103 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^3 × 103 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 64,376,832
Proper Divisor Sum 38,214,832
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #26161999 ← → #26162011

Radix Representation

Decimal 26162000
Binary 1100011110011001101010000 (25 bits)
Octal 0o143631520
Hexadecimal 0x18F3350

Divisor Catalog (60 of 80)

1 2 4 5 8 10 16 20 25 40 50 80 100 103 125 127 200 206 250 254 400 412 500 508 515 635 824 1,000 1,016 1,030 1,270 1,648 2,000 2,032 2,060 2,540 2,575 3,175 4,120 5,080 5,150 6,350 8,240 10,160 10,300 12,700 12,875 13,081 15,875 20,600 25,400 25,750 26,162 31,750 41,200 50,800 51,500 52,324 63,500 65,405

Collatz Trajectory (87 steps to reach 1)

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

26,162,000 13,081,000 6,540,500 3,270,250 1,635,125 4,905,376 2,452,688 1,226,344 613,172 306,586 153,293 459,880 229,940 114,970 57,485 172,456 86,228 43,114 21,557 64,672 32,336 16,168 8,084 4,042 2,021 6,064 3,032 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130

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