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5,337,930

2 × 3 × 5 × 13 × 13687
Abundant Even Composite

5,337,930 factors as 2 × 3 × 5 × 13 × 13687. Its 32 positive divisors give a proper-divisor sum of 8,459,574, so this integer is abundant. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 13687
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,797,504
Proper Divisor Sum 8,459,574
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5337929 ← → #5337947

Radix Representation

Decimal 5337930
Binary 10100010111001101001010 (23 bits)
Octal 0o24271512
Hexadecimal 0x51734A

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 13,687 27,374 41,061 68,435 82,122 136,870 177,931 205,305 355,862 410,610 533,793 889,655 1,067,586 1,779,310 2,668,965 5,337,930

Collatz Trajectory (263 steps to reach 1)

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

5,337,930 2,668,965 8,006,896 4,003,448 2,001,724 1,000,862 500,431 1,501,294 750,647 2,251,942 1,125,971 3,377,914 1,688,957 5,066,872 2,533,436 1,266,718 633,359 1,900,078 950,039 2,850,118 1,425,059 4,275,178 2,137,589 6,412,768 3,206,384 1,603,192 801,596 400,798 200,399 601,198 300,599 901,798 450,899 1,352,698 676,349 2,029,048 1,014,524 507,262 253,631 760,894 380,447 1,141,342 570,671 1,712,014 856,007 2,568,022 1,284,011 3,852,034 1,926,017 5,778,052 2,889,026 1,444,513 4,333,540 2,166,770 1,083,385 3,250,156 1,625,078 812,539 2,437,618 1,218,809

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