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679,328

25 × 13 × 23 × 71
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 13 × 23 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 1,524,096
Proper Divisor Sum 844,768
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #679319 ← → #679333

Radix Representation

Decimal 679328
Binary 10100101110110100000 (20 bits)
Octal 0o2456640
Hexadecimal 0xA5DA0

Divisor Catalog (48)

1 2 4 8 13 16 23 26 32 46 52 71 92 104 142 184 208 284 299 368 416 568 598 736 923 1,136 1,196 1,633 1,846 2,272 2,392 3,266 3,692 4,784 6,532 7,384 9,568 13,064 14,768 21,229 26,128 29,536 42,458 52,256 84,916 169,832 339,664 679,328

Collatz Trajectory (154 steps to reach 1)

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

679,328 339,664 169,832 84,916 42,458 21,229 63,688 31,844 15,922 7,961 23,884 11,942 5,971 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728

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