3,603,042

2 × 3⁴ × 23 × 967

For 3,603,042, the 40 positive divisors have a total of 8,433,216. Removing 3,603,042 leaves 4,830,174, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 967

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,433,216

Proper Divisor Sum 4,830,174

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3603007 ← → #3603049

Radix Representation

Decimal	3603042
Binary	1101101111101001100010 (22 bits)
Octal	0o15575142
Hexadecimal	0x36FA62

Divisor Catalog (40)

1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 967 1,242 1,863 1,934 2,901 3,726 5,802 8,703 17,406 22,241 26,109 44,482 52,218 66,723 78,327 133,446 156,654 200,169 400,338 600,507 1,201,014 1,801,521 3,603,042

Collatz Trajectory (234 steps to reach 1)

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

3,603,042 1,801,521 5,404,564 2,702,282 1,351,141 4,053,424 2,026,712 1,013,356 506,678 253,339 760,018 380,009 1,140,028 570,014 285,007 855,022 427,511 1,282,534 641,267 1,923,802 961,901 2,885,704 1,442,852 721,426 360,713 1,082,140 541,070 270,535 811,606 405,803 1,217,410 608,705 1,826,116 913,058 456,529 1,369,588 684,794 342,397 1,027,192 513,596 256,798 128,399 385,198 192,599 577,798 288,899 866,698 433,349 1,300,048 650,024 325,012 162,506 81,253 243,760 121,880 60,940 30,470 15,235 45,706 22,853

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