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205,408

25 × 72 × 131
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7^2 × 131
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 474,012
Proper Divisor Sum 268,604
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #205399 ← → #205417

Radix Representation

Decimal 205408
Binary 110010001001100000 (18 bits)
Octal 0o621140
Hexadecimal 0x32260

Divisor Catalog (36)

1 2 4 7 8 14 16 28 32 49 56 98 112 131 196 224 262 392 524 784 917 1,048 1,568 1,834 2,096 3,668 4,192 6,419 7,336 12,838 14,672 25,676 29,344 51,352 102,704 205,408

Collatz Trajectory (80 steps to reach 1)

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

205,408 102,704 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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