893,585

5 × 7 × 11² × 211

893,585 factors as 5 × 7 × 11^2 × 211. Its 24 positive divisors give a proper-divisor sum of 459,823, so this integer is deficient. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11^2 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,353,408

Proper Divisor Sum 459,823

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #893567 ← → #893591

Radix Representation

Decimal	893585
Binary	11011010001010010001 (20 bits)
Octal	0o3321221
Hexadecimal	0xDA291

Divisor Catalog (24)

Collatz Trajectory (113 steps to reach 1)

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

893,585 2,680,756 1,340,378 670,189 2,010,568 1,005,284 502,642 251,321 753,964 376,982 188,491 565,474 282,737 848,212 424,106 212,053 636,160 318,080 159,040 79,520 39,760 19,880 9,940 4,970 2,485 7,456 3,728 1,864 932 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958

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