3,604,440

2³ × 3 × 5 × 7² × 613

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7^2 × 613

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 12,599,280

Proper Divisor Sum 8,994,840

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3604427 ← → #3604451

Radix Representation

Decimal	3604440
Binary	1101101111111111011000 (22 bits)
Octal	0o15577730
Hexadecimal	0x36FFD8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 613 735 840 980 1,176 1,226 1,470 1,839 1,960 2,452 2,940 3,065 3,678 4,291 4,904 5,880 6,130 7,356 8,582 9,195

Collatz Trajectory (234 steps to reach 1)

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

3,604,440 1,802,220 901,110 450,555 1,351,666 675,833 2,027,500 1,013,750 506,875 1,520,626 760,313 2,280,940 1,140,470 570,235 1,710,706 855,353 2,566,060 1,283,030 641,515 1,924,546 962,273 2,886,820 1,443,410 721,705 2,165,116 1,082,558 541,279 1,623,838 811,919 2,435,758 1,217,879 3,653,638 1,826,819 5,480,458 2,740,229 8,220,688 4,110,344 2,055,172 1,027,586 513,793 1,541,380 770,690 385,345 1,156,036 578,018 289,009 867,028 433,514 216,757 650,272 325,136 162,568 81,284 40,642 20,321 60,964 30,482 15,241 45,724 22,862

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