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692,800

26 × 52 × 433
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^2 × 433
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 1,708,658
Proper Divisor Sum 1,015,858
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #692789 ← → #692821

Radix Representation

Decimal 692800
Binary 10101001001001000000 (20 bits)
Octal 0o2511100
Hexadecimal 0xA9240

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 433 800 866 1,600 1,732 2,165 3,464 4,330 6,928 8,660 10,825 13,856 17,320 21,650 27,712 34,640 43,300 69,280 86,600 138,560 173,200 346,400 692,800

Collatz Trajectory (74 steps to reach 1)

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

692,800 346,400 173,200 86,600 43,300 21,650 10,825 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22

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