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3,925,628

22 × 7 × 19 × 47 × 157
Abundant Even Composite

3,925,628 factors as 2^2 × 7 × 19 × 47 × 157. Its 48 positive divisors give a proper-divisor sum of 4,568,452, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 19 × 47 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,494,080
Proper Divisor Sum 4,568,452
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3925613 ← → #3925631

Radix Representation

Decimal 3925628
Binary 1110111110011001111100 (22 bits)
Octal 0o16763174
Hexadecimal 0x3BE67C

Divisor Catalog (48)

1 2 4 7 14 19 28 38 47 76 94 133 157 188 266 314 329 532 628 658 893 1,099 1,316 1,786 2,198 2,983 3,572 4,396 5,966 6,251 7,379 11,932 12,502 14,758 20,881 25,004 29,516 41,762 51,653 83,524 103,306 140,201 206,612 280,402 560,804 981,407 1,962,814 3,925,628

Collatz Trajectory (79 steps to reach 1)

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

3,925,628 1,962,814 981,407 2,944,222 1,472,111 4,416,334 2,208,167 6,624,502 3,312,251 9,936,754 4,968,377 14,905,132 7,452,566 3,726,283 11,178,850 5,589,425 16,768,276 8,384,138 4,192,069 12,576,208 6,288,104 3,144,052 1,572,026 786,013 2,358,040 1,179,020 589,510 294,755 884,266 442,133 1,326,400 663,200 331,600 165,800 82,900 41,450 20,725 62,176 31,088 15,544 7,772 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116

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