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2,801,624

23 × 73 × 1021
Abundant Even Composite

2,801,624 factors as 2^3 × 7^3 × 1021. Its 32 positive divisors give a proper-divisor sum of 3,330,376, so this integer is abundant. The Collatz stopping time is 306 steps.

Prime Factor Structure

Factorization String 2^3 × 7^3 × 1021
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,132,000
Proper Divisor Sum 3,330,376
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2801621 ← → #2801641

Radix Representation

Decimal 2801624
Binary 1010101011111111011000 (22 bits)
Octal 0o12537730
Hexadecimal 0x2ABFD8

Divisor Catalog (32)

1 2 4 7 8 14 28 49 56 98 196 343 392 686 1,021 1,372 2,042 2,744 4,084 7,147 8,168 14,294 28,588 50,029 57,176 100,058 200,116 350,203 400,232 700,406 1,400,812 2,801,624

Collatz Trajectory (306 steps to reach 1)

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

2,801,624 1,400,812 700,406 350,203 1,050,610 525,305 1,575,916 787,958 393,979 1,181,938 590,969 1,772,908 886,454 443,227 1,329,682 664,841 1,994,524 997,262 498,631 1,495,894 747,947 2,243,842 1,121,921 3,365,764 1,682,882 841,441 2,524,324 1,262,162 631,081 1,893,244 946,622 473,311 1,419,934 709,967 2,129,902 1,064,951 3,194,854 1,597,427 4,792,282 2,396,141 7,188,424 3,594,212 1,797,106 898,553 2,695,660 1,347,830 673,915 2,021,746 1,010,873 3,032,620 1,516,310 758,155 2,274,466 1,137,233 3,411,700 1,705,850 852,925 2,558,776 1,279,388 639,694

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