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3,603,572

22 × 7 × 41 × 43 × 73
Abundant Even Composite

3,603,572 factors as 2^2 × 7 × 41 × 43 × 73. Its 48 positive divisors give a proper-divisor sum of 4,054,540, so this integer is abundant. The Collatz stopping time is 146 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 43 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,658,112
Proper Divisor Sum 4,054,540
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3603563 ← → #3603577

Radix Representation

Decimal 3603572
Binary 1101101111110001110100 (22 bits)
Octal 0o15576164
Hexadecimal 0x36FC74

Divisor Catalog (48)

1 2 4 7 14 28 41 43 73 82 86 146 164 172 287 292 301 511 574 602 1,022 1,148 1,204 1,763 2,044 2,993 3,139 3,526 5,986 6,278 7,052 11,972 12,341 12,556 20,951 21,973 24,682 41,902 43,946 49,364 83,804 87,892 128,699 257,398 514,796 900,893 1,801,786 3,603,572

Collatz Trajectory (146 steps to reach 1)

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

3,603,572 1,801,786 900,893 2,702,680 1,351,340 675,670 337,835 1,013,506 506,753 1,520,260 760,130 380,065 1,140,196 570,098 285,049 855,148 427,574 213,787 641,362 320,681 962,044 481,022 240,511 721,534 360,767 1,082,302 541,151 1,623,454 811,727 2,435,182 1,217,591 3,652,774 1,826,387 5,479,162 2,739,581 8,218,744 4,109,372 2,054,686 1,027,343 3,082,030 1,541,015 4,623,046 2,311,523 6,934,570 3,467,285 10,401,856 5,200,928 2,600,464 1,300,232 650,116 325,058 162,529 487,588 243,794 121,897 365,692 182,846 91,423 274,270 137,135

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