443,352

2³ × 3 × 7² × 13 × 29

Prime Factor Structure

Factorization String 2^3 × 3 × 7^2 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,436,400

Proper Divisor Sum 993,048

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #443347 ← → #443353

Radix Representation

Decimal	443352
Binary	1101100001111011000 (19 bits)
Octal	0o1541730
Hexadecimal	0x6C3D8

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 13 14 21 24 26 28 29 39 42 49 52 56 58 78 84 87 91 98 104 116 147 156 168 174 182 196 203 232 273 294 312 348 364 377 392 406 546 588 609 637 696 728 754 812 1,092 1,131 1,176 1,218 1,274 1,421 1,508 1,624

Collatz Trajectory (81 steps to reach 1)

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

443,352 221,676 110,838 55,419 166,258 83,129 249,388 124,694 62,347 187,042 93,521 280,564 140,282 70,141 210,424 105,212 52,606 26,303 78,910 39,455 118,366 59,183 177,550 88,775 266,326 133,163 399,490 199,745 599,236 299,618 149,809 449,428 224,714 112,357 337,072 168,536 84,268 42,134 21,067 63,202 31,601 94,804 47,402 23,701 71,104 35,552 17,776 8,888 4,444 2,222 1,111 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469

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